Cellular Automata FAQ

[Non-Java
version]

Bibliography

1

molecular and biomolecular computing. IEEE Computer, 25(11), nov
1992.

2

molecular and biomolecular computing. IEEE Egineering in Medicine and
Biology, feb-mar 1994.

3

Mark J Ablowitz, James M Keiser, and Leon A Takhtajan. Class of stable
multistate time-reversible cellular automata with rich particle content.
Physical Review A,Atomic, molecular, and opt, 44(10):6909, 1991.

4

A. I Adamatskii. Complexity of identification of cellular automata.
Automation and remote control, 53(9 p 2):1449, September 1992.

5

A. I Adamatskii. Complexity of sequential realization of cellular automata
maps. Automation and remote control, 55(2):271, February 1994.

6

A. I Adamatskiy. Identification of probabilistic cellular automata.
Soviet journal of computer and systems sciences, 30(3):118, May 1992.

7

A. I Adamatskiy. Complexity of identifying asynchronous nonstationary
cellular automata. Journal of Computer and Systems Science,
31(3):127, May 1993.

8

Andrew I. Adamatzkii. Identification of Fuzzy Cellular Automata.
Automatic Control and Computer Sciences, 25(6):72-76, 1991.

9

A. I Adamatzky. Hierarchy of fuzzy cellular automata. Fuzzy sets and
systems, 62(2):167, 1994.

10

Andrew Adamatzky. Identification of Cellular Automata. Taylor and
Francis, London, Bristol, 1994.

11

Andrew I Adamatzky. Implantation of cellular automata. Applied
Mathematics and Computation, 55(1):49, April 1993.

12

E. D. Adamides, Ph. Tsalides, and A. Thanailakis. Hierarchical cellular
automata structures. Parallel Computing, 18(5):517-524, May 1992.

13

Roy Adler and Leopold Flatto. Geodesic flows, interval maps, and symbolic
dynamics. Bulletin of the American Mathematical Society, 25:229-334,
1991.

14

V. S Afraimovich and M. A Shereshevskii. Topological dynamics of cellular
automata. Selecta mathematica Sovietica, 11(4):355, 1992.

15

Zvia Agur. Fixed points of majority rule cellular automata with
application to plasticity and precision of the immune system. Complex
Systems, 5(3):351-357, June 1991.

16

Philipe Aigrain and Danièle Beauquier. Polyomino tilings, cellular
automata and codicity. Theoretical Computer Science,
147(1-2):165-180, 1995.

17

V. Aladyev, A. Krasnoproshina, and V. Kryschanovskii. Unsolved theoretical
problems in homogeneous structures. In G. Wolf, T. Legendi, and U. Schendel,
editors, Proceedings of the 4th International Workshop on Parallel
Processing by Cellular Automata and Arrays, pages 33-50. LNCS 342.
Springer, October 1988.

18

J. Albert and K. Culik II. A simple universal cellular automaton and its
one-way and totalistic version. Complex Systems, 1:1-16, 1987.

19

A. Albrecht. On simultaneous realizations of boolean functions, with
applications. In G. Wolf, T. Legendi, and U. Schendel, editors, Proc. 4th
Intl. Workshop on Parallel Proc. by CA and Arrays, pages 51-56. LNCS 342.
Springer, October 1988.

20

T. V Alekseyevskaya and A. G Malenkov. Mathematical model of the
initiation of near weekly fluctuations in tissue (cellular automata).
Biophysics, 36(2):356, 1991.

21

Zoran Aleksic. Computation in inhomogenous celluar automata. In David
Green and Terry Bossomaier, editors, Complex Systems: From Biology to
Computation. IOS Press, Amsterdam, 1993. anonymous ftp life.anu.edu.au:
/pub/complex_systems/anu92/papers/aleksic.ps.

22

N. M Allinson and M. J Sales. CART - A cellular automata research tool.
Microprocessors and microsystems, 16(8):4093, 1992. The authors
discuss the principles of cellular automata and present a detailed design of
an expandable machine together with an example maze-solving program.

23

P. Alstrom and J. Leao. Self-organized criticality in the 'game of life'.
Physical Review E, 49(4), April 1994.

24

A. S. Alves. Discrete Models of Fluid Dynamics. World Scientific,
1991.

25

S. Amoroso and Y. N. Patt. Decision procedures for surjectivity and
injectivity of parallel maps for tesselation structures. Journal of
Computer and Systems Sciences, 6:448-464, 1972.

26

R. Anderson and K. Bunas. Grain size segregation and stratigraphy in
aeolian ripples modelled with a cellular automaton. Nature,
365:740-743, October 1993.

27

I.L Anshel and Michael Anshel. From the post-markov theorem through
decision problems to public-key cryptography. The American Mathematical
Monthly, 100:835-844, 1993.

28

K. Aoki and N. Mugibayashi. Cellular automata and coupled chaos developed
in a lattice chain of N equivalent switching elements. Physics Letters
A, 114:425, 1988.

29

R. C. Backhouse and B. A. Carré. Regular algebra applied to path-finding
problems. Journal of the Institute for Mathematics and its
Applications, 15:161-186, 1975.

30

F Bagnoli, R Rechtman, and S Ruffo. Damage spreading and lyapunov
exponents in cellular automata. Physics Letters A, 172(1 / 2):34,
1992.

31

Franco Bagnoli, Raul Rechtman, and Stefano Ruffo. General algorithm for
two-dimensional totalistic cellular automata. Journal of Computational
Physics, 101(1):176, July 1992.

32

Bak, Chen, and Creutz. Soc/game of life (??). Nature, 342:780,
1989.

33

Robert Balzer. An 8-state minimal time solution to the firing squad
synchronization problem. Information and Control, 10:22-42, 1967.

34

O. L. Bandman and S. V. Piskunov. Parallel microprogramming as a tool for
multi-microprocessor systems. In G. Wolf, T. Legendi, and U. Schendel,
editors, Proceedings of the 4th International Workshop on Parallel
Processing by Cellular Automata and Arrays, pages 57-72. LNCS 342.
Springer, October 1988.

35

E. R. Banks. Universality in cellular automata. In Proc. 11th IEEE
Symposium on Foundations of Computer Science (FOCS), pages 194-215, 1970.

36

E. R. Banks. Information processing and transmission in cellular automata.
Technical Report MIT/LCS/TR-81, MIT Laboratory for Computer Science, January
1971. Price: $6.35.

37

Edwin Roger Banks. Cellular automata. Technical Report AI Memo 198,
Artificial Intelligence Laboratory, Massachusetts Institute of Technology
(MIT), Cambridge, Massachusetts, June 1970.

38

Edwin Roger Banks. Universality in cellular automata. In Conference
Record of 1970 Eleventh Annual Symposium on Switching and Automata
Theory, pages 194-215, Santa Monica, California, 1970. IEEE.

39

Sergei N. Baranoff. Cellular automata on a personal computer. In
euroForth '92 Conference Proceedings, pages 79-80, MPE Ltd., 133 Hill
Lane, Southampton. SO1 5AF UK, October 1992. Forth Interest Group.

40

A. M. Barbe. A CA ruled by an eccentric conservation law. Physica
D, 45:49, 1990.

41

D Barca, G. M Crisci, and S Di Gregorio. Cellular automata for simulating
lava flows: A method and examples of the etnean eruptions. Transport
theory and statistical physics, 23(1 / 3):195, 1994.

42

Michael P. Barnett. Primitive string transformations as reductions to
normal form. SIGPLAN Notices, 25(5):29-33, May 1990.

43

Michael P. Barnett and Xu Rui. Infix to previx conversion as a PST
reduction. SIGPLAN Notices, 25(5):34-38, May 1990.

44

B Barral, H Chate, and P Manneville. Collective behaviors in a family of
high-dimensional cellular automata. Physics Letters A, 163(4):279,
1992.

45

Benoit Barriere and Donald L Turcotte. A scale invariant cellular automata
model for distributed seismicity. Geophysical research Letters,
18(11):2011, November 1991.

46

Bartlett and Garzon. Distribution of linear rules in cellular automata
rule space. Complex Systems, 6, 1992.

47

A. G. Barto. Cellular automata as models of natural systems. Technical
report, Michigan, 1975.

48

Rana Barua and S. Ramakrishnan. -game, -game and two-dimensional additive cellular automata.
Theoretical Computer Science, 154(2):349-366, 1996. Mathematical
Games.

49

Michael Batty and Paul Longley. Fractal Cities. Academic Press,
1994. ISBN 0-12-455570-5.

50

G. W Baxter and R. P Behringer. Cellular automata models for the flow of
granular materials. Physica D, 51(1 / 3):465, August 1991.

51

Coskun Bayrak, Ali H. Dogru, and Sukumarn V. S. Nair. The annotated
bibliography on cellular automata. Technical Report 90-CSE-30, Southern
Methodist University, 1990. price ($1.00).

52

Carter Bays. The game of three dimensional life. Technical report, 1986.
available as a supplement to A. K. Dewdney's February 1987 column.

53

Carter Bays. Candidates for the game of life in three dimensions.
Complex Systems, 1(2):373-400, April 1987.

54

Carter Bays. Classification of semitotalistic cellular automata in three
dimensions. Complex Systems, 2:235-254, 1987.

55

Carter Bays. A note on the discovery of a new game of three-dimensional
life. Complex Systems, 2:255-258, 1987.

56

Carter Bays. Patterns for simple cellular automata in a universe of dense
packed spheres. Complex Systems, 1(6):853-875, December 1987.

57

Carter Bays. Classification of semitotalistic cellular automata in three
dimensions. Complex Systems, 2(2):235-254, April 1988.

58

Carter Bays. The discovery of a new glider in the game of
three-dimensional life. Complex Systems, 4(6):599-602, December 1990.

59

Carter Bays. A new game of three-dimensional life. Complex
Systems, 5(1):15-18, February 1991.

60

Carter Bays. 3D life (?). Complex Systems, 6(5):433-442, 1992.

61

Carter Bays. A new candidate rule for the game of three-dimensional life.
Complex Systems, 6:433-441, 1992.

62

V. Beiu. VLSI arrays implementing parallel line-drawing algorithms. In G.
Wolf, T. Legendi, and U. Schendel, editors, Proceedings of the 4th
International Workshop on Parallel Processing by Cellular Automata and
Arrays, pages 241-247. LNCS 342. Springer, October 1988.

63

Bennett and Bourzutschy. Nature, 350:468, 1991.

64

C. H. Bennett, T. Toffoli, and S. Wolfram. Cellular automata '86
conference. Technical Report MIT/LCS/TM-317, MIT Laboratory for Computer
Science, December 1986. Price: $6.00.

65

S. A Berezner, M Krutina, and V. A Malyshev. Exponential convergence of
toom's probabilistic cellular automata. Journal of Statistical
Physics, 73(5 / 6):927, December 1993.

66

R. Berger. The undecidability of the domino problem. Memoirs of the
American Mathematical Society, 66, 1966.

67

Elwyn R. Berlekamp, John H. Conway, and Richard K. Guy. Winning Ways
for your Mathematical Plays, volume 2. Academic Press, ISBN
0-12-091152-3, 1982. chapter 25.

68

Piotr Berman and Janos Simon. Investigations of fault-tolerant networks of
computers. In Proc. of the 20-th Annual ACM Symp. on the Theory of
Computing, pages 66-77, 1988.

69

H. Bersini and V. Detours. Asynchrony induces stability in cellular
automata based models. In Brooks, R. A, Maes, and Pattie, editors,
Proceedings of the 4th International Workshop on the Synthesis and
Simulation of Living Systems , pages 382-387.
MIT Press, July 1994.

70

S. C Bhargava, Arun Kumar, and A Mukherjee. A stochastic cellular automata
model of innovation diffusion. Technological forecasting and social
change, 44(1):87, August 1993.

71

M. Biafore. Few-body cellular automata. Technical Report MIT/LCS/TR-597,
MIT Laboratory for Computer Science, December 1993. Price: $13.75.

72

M Biafore. Cellular automata for nanometer-scale computation. Physica
D, 70(4):415, 1994.

73

Iwo Bialynicki-Birula. Weyl, dirac, and maxwell equations on a lattice as
unitary cellular automata. Physical Review, 49(12):6920, 1994.

74

Roger Bidaux, Nino Boccara, and Hugues Chate. Order of the transition
versus space dimension in a family of cellular automata. Physical Review
A, 39(6):3094-3105, 1989.

75

P. M. Binder. Topological classification of cellular automata. Journal
of Physics A 24, pages L31-5, 1991.

76

P.-M. Binder. unknown. J. Phys. A, 24(L21), 1991.

77

P.-M. Binder. Parametric ordering of complex systems. Physical Review
E, 1993.

78

P. M. Binder. A phase diagram for elementary cellular automata.
Complex Systems, 7:241-7, 1993.

79

P. M. Binder. (anti),table points and the dynamics of extended systems.
Physics Letters 187A, pages 167-70, 1994.

80

P. M. Binder. Parametric ordering of complex systems. Physical Review
E 49, pages 2023-5, 1994.

81

P. M. Binder. Domains and synchronization in high-dimensional cellular
automata. Physical Review E 51, pages R839-40, 1995.

82

P.-M Binder, B Buck, and V. A Macaulay. Time-series analysis of a
collective variable in high-dimensional cellular automata. Journal of
Statistical Physics, 68(5 / 6):1127, September 1992.

83

P. M Binder, D. Y. K Ko, and A. L Owczarek. Ordered cellular automata in
one dimension. Journal de physique, 3(1):21, January 1993.

84

P. M. Binder and V. Privman. Second-order dynamics in the collective
temporal evolution of complex systems. Physical Review Letters,
68:3830-3, 1992.

85

Philippe Binder, Carole Twining, and David Sherrington. Phase-space study
of bistable cellular automata. Complex Systems, 5(2):127-138, April
1991.

86

George D. Birkhoff. Dynamical Systems. American Mathematical
Society, Providence, Rhode Island, 1927.

87

Ph Blanchard and D Gandolfo. Cellular automata approach to site
percolation on Z2. A numerical study. Journal of Statistical Physics,
73(1 / 2):399, October 1993.

88

A Bobenko, M Bordemann, and C Gunn. On two integrable cellular automata.
Communications in Mathematical Physics, 158(1):127, 1993.

89

N. Boccara, E. Goles, S. Martinez, and P. Picco. Cellular Automata and
Cooperative Phenomena. Kluwer Academic Publishers, 1993.

90

N. Boccara, J. Nasser, and M. Roger. Annihilation of defects during the
evolution of some one-dimensional class-3 deterministic cellular automata.
Europhysics Letters, 13(6):489, 1990.

91

N. Boccara, J. Nasser, and M. Roger. Particle-like structures and
interactions in spatio-temporal patterns generated by one-dimensional
determinsitic cellular automaton rules. Physical Review A, 44, July
1991.

92

R. J. De Boer and P. Hogeweg. Growth and recruitment in the immune
network. In A. F. Perelson and G. Weisbuch, editors, Theoretical and
Experimental Insights into Immunology, volume 66, pages 223-247. Springer
Verlag, New York, 1992.

93

B. M. Boghosian. Cellular automata simulation of two-phase flow on the
CM-2 connection machine computer. Technical Report TR-19 CA88-1, Thinking
Machines Corporation, 1988. (Appeared in Supercomputing 88, Vol. II:Science
and Applications, J. L. Martin and S. F.Lundstrom, eds.: IEEE Computer Society
Press [1989]: pp. 34-44.).

94

B. M. Boghosian. Deterministic cellular automata with diffusive behavior.
Technical Report TR-15 CA90-1, Thinking Machines Corporation, 1989. (Appeared
in Cellular Automata and Modeling of Complex Physical Systems, P. Manneville,
N. Boccara, G. Y.Vichniac, and R. Bidaux, eds. Berlin: Springer-Verlag[1989]:
pp. 118-129.).

95

Bruce M Boghosian. Lattice gases illustrate the power of cellular automata
in physics. Computers in Physics, 5(6):585, November 1991.

96

Jean Pierre Boon. Lattice gas automata: Theory, simulation,
implementation. Journal of Statistical Physics, 68(3/4), 1992.

97

K. Bouazza, J. Champeau, P. Ng, B. Pottier, and S. Rubini. Experimental
cellular automata on the ArMen machine. In P. Quinton and Y. Robert, editors,
Proceedings of the Workshop on Algorithms and Parallel VLSI Architectures
II, pages 317-322, Bonas, France, June 1991. Elsevier Science Publishers
B.V.

98

S. Boubezari and B. Kaminska. Cellular automata synthesis based on
pre-computed test vectors for built-in self-test. In M. Lightner, editor,
Proceedings of the IEEE/ACM International Conference on Computer-Aided
Design, pages 578-585. IEEE Computer Society Press, November 1993.

99

G. Braga, G. Cattaneo, P. Flocchini, and C. Quaranta Vogliotti. Pattern
growth in elementary cellular automata. Theoretical Computer Science,
145(1-2):1-26, 1995. Fundamental Study.

100

Maury Bramson and Claudia Neuhauser. Survival of one-dimensional cellular
automata under random perturbations. The annals of probability,
22(1):244, January 1994.

101

A Brass, R. K Grencis, and K. J Else. A cellular automata model for helper
T cell subset polarization in chronic and acute infection. Journal of
theoretical biology, 166(2):189, 1994.

102

X. Breckling. unknown. Ecological Modeling, 63(13-27):13-27,
1993.

103

L Brieger and E Bonomi. Cellular automata-lattice gas models for PDE's.
Computer Physics Communications, 73(1 / 3):47, December 1992.

104

John Briggs and F. David Peat. An Illustrated Guide to Chaos Theory
and the Science of Wholeness. Harper & Row, New York, 1989.

105

R Brito and M. H Ernst. Propagating staggered waves in cellular automata
fluids. Journal of Physics A, 24(14):3331, 1991.

106

R. Brito, M. H. Ernst, and T. R. Kirkpatrick. Staggered diffusivities in
lattice gas cellular automata. Journal of Statistical Physics, 62(1 /
2):283, 1991.

107

A Broggi, V d'Andrea, and G Destri. Cellular automata as a computational
model for low-level vision. International Journal of modern physics
C, 4(1):5, February 1993.

108

Brown. Competition of cellular automata rules. Complex Systems,
1, 1987.

109

M Bruschi and P. M Santini. Cellular automata in 1+1, 2+1 and 3+1
dimensions, constants of motion and coherent structures. Physica D,
70(1 / 2):185, January 1994.

110

M Bruschi, P. M Santini, and O Ragnisco. Integrable cellular automata.
Physics Letters A, 169(3):151, 1992.

111

L Le Bruyn and M Van Den Bergh. Algebraic properties of linear cellular
automata. Linear algebra and its applications, 157:217, November
1991.

112

Janusz A. Brzozowski. Derivatives of regular expressions. Journal of
the Association for Computing Machinery, 11:481-494, 1964.

113

David J. Buckingham. Some facts of life. Byte, 3(12): 54-67,
December 1978.

114

L. A Bunimovich and S. E Troubetzkoy. Recurrence properties of lorentz
lattice gas cellular automata. Journal of Statistical Physics, 67(1 /
2):289, April 1992.

115

L. A Bunimovich and S. E Troubetzkoy. Rotators, periodicity, and absence
of diffusion in cyclic cellular automata. Journal of Statistical
Physics, 74(1 / 2):1, January 1994.

116

Burks. Programming and the theory of automata. In Essays on Cellular
Automata, ed. Arthur W. Burks, University of Illinois Press, Urbana, Chicago,
London. 1970.

117

Burks. Von neumann's self-reproducing automata. In Essays on Cellular
Automata, ed. Arthur W. Burks, University of Illinois Press, Urbana, Chicago,
London. 1970.

118

A. W. Burks. Essays on Cellular Automata. University of Illinois
Press, Urbana, 1970.
A classic collection of papers on cellular
automata intended as a companion to von Neumann's Theory of Self
Reproducing Automata [].
Includes papers by Burks, Thatcher, Moore, Myhill, Ulam, and Holland.

119

A. W. Burks. Cellular automata and natural systems. In W. D. Keidel, W.
Händler, and M. Spreng, editors, Cybernetics and Bionics, pages
190-204, Munich, 1974. R. Oldenbourg.
Cellular Automata as a useful
bridge between natural systems and formal computational systems.

120

Arthur W. Burks. Essays on Cellular Automata. University of
Illinois Press, Urbana, IL, USA, 1970. A classic collection of papers on
cellular automata intended as a companion to von Neumann's Theory of Self
Reproducing Automata [].
Includes papers by Burks, Thatcher, Moore, Myhill, Ulam, and Holland.

121

Butler. A note on cellular automata simulations. Information and
Computation (formerly Information and Control), 26, 1974.

122

J. T. Butler. Analysis of cellular automata growth models. In
Proceedings of 1978 ACM Computer Science Conference, Detroit Michigan,
Feb. 1978, New York, 1978. Association for Computing Machinery.

.

123

Jon T. Butler. Synthesis of one-dimensional binary cellular automata
systems from composite local maps. Information and Control,
43(3):304-326, December 1979.

124

E. Caianello and M. Marinaro. Linearization and synthesis of cellular
automata. the additive case. Physica Scripta, 34:444, 1986.

125

E. R. Caianiello and M. Marinaro. Neural nets and cellular automata. In I.
E. J. D. Becker, editor, Proceedings of a Workshop on Parallel Processing
: Logic, Organization and Technology (WOPPLOT 86), pages 198-205. LNCS
253. Springer, July 1986.

126

M. Cannataro, S. Di Gregorio, R. Rongo, W. Spataro, G. Spezzano, and D.
Talia. Parallel cellular automata environment on multicomputers for modeling
and simulation. Parallel Computing, submitted. ftp from crai.it:
/pub/TR/talia bin/CAMEL.ps.Z.

127

A. Canning and E. Droz. A comparison of spin exchange and CA models for
diffusion-controlled reactions. Physica D, 45:285, 1990.

128

H. C. Card, A. Thanailakis, W. Pries, and R. D. McLeod. Analysis of
bounded linear cellular automata based on a method of image charges.
Journal of Computer and System Sciences, 33:473-480, 1986.

129

J. M. Carrera, E. J. Martinez, S. A. Fernandez, and J. M. Chaus.
Architecture of a FPGA-based coprocessor: The PAR-1. In D. A. Buell and K. L.
Pocek, editors, Proceedings of IEEE Workshop on FPGAs for Custom Computing
Machines, pages 20-29, Napa, CA, April 1995.

130

K. Cattell and M. Serra. The analysis of one dimensional multiple-valued
linear cellular automata. In G. Epstein, editor, Proceedings of the 20th
International Symposium on Multiple-Valued Logic, pages 402-409. IEEE
Computer Society Press, May 1990.

131

F. Celada and P. E. Seiden. A computer model of cellular interactions in
the immune system. Immun-t, 13:56-62, 1992.

132

A. Cerny. Generating words by cellular automata. In A. Tarlecki, editor,
Proceedings of Mathematical Foundations of Computer Science. (MFCS
'91), pages 113-120. LNCS 520. Springer, September 1991.

133

J. Champeau, L. Le Pape, B. Pottier, S. Rubini, E. Gautrin, and L.
Perraudeau. Flexible parallel FPGA-based architectures with armen. In T. N.
Mudge and B. D. Shriver, editors, Proceedings of the Twenty Seventh Hawaii
Internation Conference on Systems Science, pages 105-13, Wailea, HI,
1994. IEEE Comput. Soc. Press.

134

H. Chate and P. Maneville. Evidence of collective behavior in cellular
automata. Europhysics Letters, 14:409-413, 1991.

135

H. Chate and P. Manneville. Criticality in CA. Physica D, 45:122,
1990.

136

H. Chaté and P. Manneville. Collective behaviors in spatially extended
systems with local interactions and synchronous updating. Progress of
Theoretical Physics, 87:1-60, 1992.

137

H. Chaté and P Manneville. Emergence of effective low-dimensional dynamics
in the macroscopic behaviour of coupled map lattices. Europhysics
Letters, 17:291-296, 1992.

138

Hugues Chaté and Paul Manneville. Coupled map lattices as cellular
automata. Journal of Statistical Physics, 56:357-370, 1989.

139

H. F Chau and K. S Cheng. Does spatial scaling imply temporal scaling in
sandpile type cellular automata? Physics Letters A, 170(3):195, 1992.

140

K. Cheung, L. Atlas, and R. Marks II. Synchronous vs asynchronous behavior
of hopfield's CAM neural net. Appl. Optics, 26:4808-13, 1987.

141

Choffrut and Culik. On real-time cellular automata and trellis automata.
Acta Informatica, 21, 1984.

142

C. Choffrut and K. Culik II. On real-time cellular automata and trellis
automata. Acta Informatica, 21:393-407, 1984.

143

Christian Choffrut, editor. Automata networks: LITP Spring School on
theoretical computer science, Argeles-village, France, May 12-16, 1986:
proceedings, volume 316 of Lecture Notes in Computer Science,
New York, NY, USA, 1988. Springer-Verlag Inc.

144

Noam Chomsky. Three models for the description of language. IRE
Transactions on Information Theory, IT-2:113-124, 1956.

145

Noam Chomsky. On certain formal properties of grammars. Information
and Control, 1:137-167, 1958.

146

Noam Chomsky. Formal properties of grammars. In Handbook of
Mathematical Psychology, volume 2, pages 323-418. John Wiley and Sons,
New York, 1963.

147

Noam Chomsky and George A. Miller. Finite state languages. Information
and Control, 1:91-112, 1958.

148

B. Chopard. A cellular automata model of large-scale moving objects.
Journal of Physics A, 23(10):1671, 1990.

149

Bastien Chopard, Pascal Luthi, and Michel Croz. Reaction-diffusion
cellular automata model for the formation of liesegang patterns. Physical
Review Letters, 72(9):1384, 1994.

150

D. Chowdhury and D. Stauffer. Systematics of the models of the immune
response and the autoimmune response. Journal of Statistical Physics,
59:1019-1042, 1990.

151

D. Chowdhury and D. Stauffer. Statistical physics of immune networks.
Physica A, 186: 1-2:61-81, 1992.

152

D. R. Chowdhury, S. Chakraborty, B. Vamsi, and P. P. Chaudhuri. Cellular
automata based synthesis of easily and fully testable FSMs. In M. Lightner,
editor, Proceedings of the IEEE/ACM International Conference on
Computer-Aided Design, pages 650-653. IEEE Computer Society Press,
November 1993.

153

D. Roy Chowdhury, S Basu, and I. Sen Gupta. Design of CAECC - cellular
automata based error correcting code. IEEE Transactions on Computers,
43(6):759, June 1994.

154

D. Roy Chowdhury, I. Sen Gupta, and Pal Chaudhuri. Cellular automata based
pattern generator for testing RAM. IEE proceedings.E,Computers and digital
tech, 139(6):469, November 1992.

155

D. Roy Chowdhury, I Sengupta, and P. Pal Chaudhuri. Built-in self-test.
Journal of electronic testing, 5(1):67, February 1994. A class of
two-dimensional cellular automata and their applications in random pattern
testing.

156

D. Roy Chowdhury, P Subbarao, and P. Pal Chaudhuri. Characterization of
two-dimensional cellular automata using matrix algebra. Information
sciences, 71(3):289, July 1993.

157

Kim Christensen, Henrik Jeldtoft Jensen, and Hans C Fogedby. Dymanical and
spatial aspects of sandpile cellular automata. Journal of Statistical
Physics, 63(3 / 4):653, May 1991.

158

S. K Chung and H. F Chau. On the structure of absolute steady states in
sandpile type of cellular automata: The geometrical aspect. Journal of
mathematical physics, 34(9):4014, September 1993.

159

Valerio Cimagalli and Marco Balsi. Cellular neural networks: a review.
Prooceedings of the Sixth Italian Workshop on Parallel Architectures and
Neural Networks, Vietri sul Mare, Italia, May 12-14, World Scientific (E.
Caianiello, ed.), 1993.

160

Gerardo Cisneros and Harold V. McIntosh. Technical report, Universidad
Autonoma de Puebla, 1986.

161

Clementi and Impagliazzo. Graph theory and interactive protocols for
reachability problems on finite cellular automata. In Italian Conference
on Algorithms and Complexity, 1994.

162

A. Clementi and P. Pierini. Computational complexity of the finite
cellular automata reversibility problem. In Fourth Italian Conference of
Theoretical Computer. World scientific, 1992.

163

Paul Cockshott, George McCaskill, and Peter Barrie. Use of a high speed
cellular automata machine to simulate road traffic. Technical Report
HDV-27-93, Department of Computer Science, University of Strathclyde, 1993.

164

E. F. Codd. Cellular Automata. Academic Press, New York, 1968.

Codd's PhD thesis in which he details an 8-state, self-reproducing,
universal computer/constructor.

165

Codenotti and Margara. Transitive cellular automata are sensitive.
AMM: The American Mathematical Monthly, 103, 1996.

166

R. L Colasanti and J. P Grime. Resource dynamics and vegetation processes:
a deterministic model using two-dimensional cellular automata. Functional
ecology, 7(2):169, 1993.

167

J. H. Conway. Regular Algebra and Finite Machines. Chapman and
Hall, Ltd., London, 1971. ISBN 412-10620-5.

168

R. Cordovil, R. Dilão, and A. N. da Costa. Periodic orbits for additive
cellular automata. Discrete Comput. Geom., 1:277-288, 1986.

169

R. Cori and Y. Métivier. Approximation of a trace, asynchronous automata
and the ordering of events in a distributed system. In Proceedings of the
15th International Colloquium on Automata, Languages and Programming
(ICALP'88), number 317 in LNCS, pages 147-161. Springer, 1988.

170

Robert Cori, Yves Metivier, and Wieslaw Zielonka. Asynchronous mappings
and asynchronous cellular automata. Information and computation,
106(2):159, October 1993.

171

Ethan M. Coven and Michael E. Paul. Endomorphisms of irreducible subshifts
of finite type. Mathematical Systems Theory, 8:167-175, 1974.

172

Ethan M. Coven and Michael E. Paul. Sofic systems. Israel Journal of
Mathematics, 20:165-177, 1975.

173

Ethan M. Coven and Michael E. Paul. Finite procedures for sofic systems.
Monatshefte fuer Mathematik, 83:265-278, 1977.

174

M. Creutz. Microcanonical monte carlo simulation. Physical Review
Letters, 50:1411-1414, 1983.

175

M. Creutz. Deterministic Ising dynamics. Annals of Physics,
167:62-72, 1986.

176

M. Creutz, P. Mitra, and K. J. M. Moriarty. A fast algorithm for
investigations on the three-dimensional Ising model. Computer Physics
Communications, 33:361-366, 1984.

177

B. Creutzburg. Parallel conflict-free optimal access to complete extended
q-ary trees. In G. Wolf, T. Legendi, and U. Schendel, editors, Proceedings
of the 4th International Workshop on Parallel Processing by Cellular Automata
and Arrays, pages 248-255. LNCS 342. Springer, October 1988.

178

J. Crutchfield. Hunting for transients and cycles. unpublished
notes, March 1988.

179

J. P Crutchfield and J. E Hanson. Turbulent pattern bases for cellular
automata. Physica D, 69(3 / 4):279, 1993.

180

J. P. Crutchfield and K. Kaneko. Phenomenology of spatio-temporal chaos.
In Hao Bai-lin, editor, Directions in Chaos, page 272. World
Scientific Publishers, Singapore, 1987.

181

J. P. Crutchfield and K. Kaneko. Are attractors relevant to turbulence?
Physical Review Letters, 60:2715, 1988.

182

J. P. Crutchfield and N. H. Packard. From cellular automata to lattice
dynamical systems, (unpublished notes). Unpublished notes, 1984.

183

K. Culick and S. Yu. Cellular automata, omega-omega-regular sets, and
sofic systems. Discrete Applied Mathematics, 32:85-101, 1991.

184

K. Culik, Y. Pachl, and S. Yu. On the limit sets of cellular automata.
SIAM Journal of Computing, 18:831-842, 1989.

185

Karel Culik. On invertible cellular automata. Complex Systems,
1(6):1035-1044, December 1987.

186

Karel Culik II, Jan Pachl, and Sheng Yu. On the limit sets of cellular
automata. SIAM Journal on Computing, 18(4):831-842, August 1989.

187

II Culik, Karel and Simant Dube. Fractal and recurrent behavior of
cellular automata. Complex Systems, 3(3):253-267, June 1989.

188

Predrag Cvitanovic. Invariant measurement of strange sets in terms of
cycles. Physical Review Letters, 24:2729-2732, 1988.

189

Luciano R. da Silva, Hans J. Hermann, and Liacir S. Lucena. Simulations of
mixtures of two boolean cellular automata rules. Complex Systems,
2:29-37, 1988.

190

T Damarla and A Sathaye. Application of one-dimensional cellular automata
and linear feedback shift registers for pseudo-exhastive testing. IEEE
Transactions on Computer-aided design, 12(10):1580, October 1993.

191

A. K. Das, M. Pandey, and A. Gupta. Built-in-self-test structures around
cellular automata and counters. IEEE Proceedings E, 137(4):269, 1990.

192

Aloke K Das, Tapas K Nayak, and P. Pal Chaudhuri. On characterization of
state transition graph of additive cellular automata based on depth.
Information sciences, 65(3):189, 1992.

193

Aloke K Das, A Sanyal, and P Palchaudhuri. On characterization of cellular
automata with matrix algebra. Information sciences, 61(3):251, June
1992.

194

R. Das, M. Mitchell, and J. P. Crutchfield. A genetic algorithm discovers
particle based computation in cellular automata. Technical report, SFI, 1994.
Submitted to the 3rd Parallel ProblemSolving From Nature Conf.

195

Rajarshi Das, James P. Crutchfield, Melanie Mitchell, and James E. Hanson.
Evolving globally synchronized cellular automata. Technical report, Santa Fe
Institute Working Paper 95-01-005, 1995. via web via
ftp.

196

J. Davenport and Y. Robert. VLSI and computer algebra: the G.C.D. example.
In Demongeot, Goles, and Tchuente, editors, Dynamical systems and cellular
automata. Academic Press, 1985.

197

Paul Davies. Cosmic Blueprint. Heinemann, London, 1988.

198

D. A. Dawson. Stable states of probabilisti cellular automata.
Information and Control, 34(2):93-106, June 1977.

199

H de Garis. An artificial brain: ATRs CAM-brain project aims to
build/evolve an artificial brain with a million neural modules inside a
trillion cell cellular automata machine. New generation computing,
12(2):215, 1994.

200

Hugo de Garis. Evolving a replicator the genetic programming of self
reproduction in cellular automata. In ECAL-93 Self organisation and life:
from simple rules to global complexity, pages 274-284, CP 231, Universite
Libre de Bruxelles, Bld. du Triomphe, 1050 Brussels, Belgium, Fax
32-2-659.5767 Phone 32-2-650.5776 Email [email-masked], may 1993.

201

Hugo de Garis. CAM-BRAIN the genetic programming of an artificial brain
which grows/evolves at electronic speeds in a cellular automata machine. In
Proceedings of the 1994 IEEE World Congress on Computational
Intelligence, volume 1, pages 337-339b, Orlando, Florida, USA, jun 1994.
IEEE Press.

202

Hugo de Garis, Hitoshi Iba, and Tatsumi Furuya. Differentiable
chromosomes: The genetic programming of switchable shape-genes. In R Manner
and B Manderick, editors, Parallel Problem Solving from Nature 2,
pages 489-498, Brussels, Belgium, 28-30 1992. Elsevier Science.

203

de Lassus H. Neural network clusters and cellular automata for the
detection and classification of overlapping transient signals on radio
astronomy spectrograms from spacecraft. R IEEE Conference on time
frequency analysis, Paris, June 1996.

204

P. M. C. de Oliveira, T. J. P. Penna, and S. M. Moss de Oliveira. Cellular
automata as microcanonical simulators. Journal of Physics A,
24(1):219, 1991.

205

Pedro P. B. de Oliveira. A cellular automaton to embed genetic search. In
L. Nadel and D. L. Stein, editors, 1991 Lectures in Complex Systems,
Santa Fe Institute Studies in the Sciences of Complexity, Lectures Vol. IV,
pages 389-408. Addison-Wesley, 1992.

206

Pedro P. B. de Oliveira. Methodological issues within a framework to
support a class of artificial-life worlds in cellular automata. In D. G. Green
and T. Bossomaier, editors, Complex Systems: From Biology to
Computation, pages 82-96, Amsterdam, 1993. IOS Press.

207

Pedro P. B. de Oliveira. Cellular automata for an approach to emergent
functionality. In Salvatore Di Gregorio and Giandomenico Spezzano, editors,
Proceedings of ACRI'94: Cellular Automata in Research and Industry,
pages 99-111. CRAI (Consorzio per la Ricerca e le Applicazioni di
Informatica), S. Stefano di Rende, CS, Italy, September 1994.

208

Pedro P. B. de Oliveira. Coupling computations through space. In W. Porod
and G. Frazier, editors, Physics and Computation: This Decade and
Beyond. IEEE Press, Los Alamitos, CA, USA, November 1994.

209

Pedro P. B. de Oliveira. Simulation of exaptive behaviour. In Y. Davidor;
H.-P. Schwefel and R. Maenner, editors, Parallel Problem Solving from
Nature, 3, Lecture Notes in Computer Science 866, pages 354-364. Berlin,
Germany, Springer-Verlag, October 1994.

210

Pedro P. B. de Oliveira. Collapsing a coevolutionary process into a
computable function. BioSystems: Journal of Biological and Information
Processing Sciences, 1995. In press.

211

Pedro P. B. de Oliveira. An empirical exploration of computations with a
cellular-automata-based artificial life world. Cognitive Science Research
Report CSRP-373/95, School of Cognitive and Computing Sciences, University of
Sussex, England, March 1995.

212

Paula Gonzaga de Sá and Christian Maes. The Gács-Kurdyumov-Levin Automaton
revisited. Journal of Statistical Physics, 67(3/4):607-622, May 1992.

213

P Deadman, R. D Brown, and H. R Gimblett. Modelling rural residential
settlement patterns with cellular automata. Journal of environmental
management, 37(2):147, February 1993.

214

M Deffner. Computer simulation of immunological cellular automata: The
tsallis model. Physica A, 195(3 / 4):279, May 1993.

215

P. Dehne and J.-R. Sack. A survey of parallel computational geometry
algorithms. In G. Wolf, T. Legendi, and U. Schendel, editors, Proceedings
of the 4th International Workshop on Parallel Processing by Cellular Automata
and Arrays, pages 73-88. LNCS 342. Springer, October 1988.

216

J. Demongeot, E. Goles, and M. Tchuente, editors. Dynamical Systems
and Cellular Automata, Proceedings of the Conference on Dynamical Behaviour of
Cellular Automata: Theory and Applications, Luminy, France, September
13-17, 1983. Academic Press, London.

217

A. K. Dewdney. Computer recreations - building computers in one dimension
sheds light on irreducibly complicated phenomena. Scientific
American, pages 10-16, May 1985.

218

A. K. Dewdney. The game life aquires some successors in three dimensions.
Scientific American, 224(2):112-118, February 1987.

219

A. K. Dewdney. The Armchair Universe, volume ISBN 0-7167-1939-8
pbk. W. H. Freeman and Company, New York, 1988.

220

A. K. Dewdney. Computer recreations: The hodgepodge machine makes waves.
Scientific American, pages 104-107, August 1988.

221

A. K. Dewdney. The hodgepodge machine makes waves. Scientific
American, 225(8), August 1988.

222

A. K. Dewdney. Computer recreations: A cellular universe of debris,
droplets, defects and demons. Scientific American, pages 102-105,
August 1989.

223

V. Diekert. Combinatorial rewriting on traces. In C. Choffrut et al.,
editors, Proceedings of (STACS'90), Rouen (France), number 415 in
LNCS, pages 138-151. SPRINGER, 1990.

224

Rui M. A. Dilao. Periodic points and entropies for cellular automata.
Complex Systems, 3(2):117-128, April 1989.

225

G. D. Doolen. Lattice Gas Methods for PDE's, Theory, Applications and
Hardware. North-Holland, 1991.

226

T. Drayer, W. King, J. Tront, and R. Conners. MORRPH: A MOdular and
reprogrammble real-time processing hardware. In D. A. Buell and K. L. Pocek,
editors, Proceedings of IEEE Workshop on FPGAs for Custom Computing
Machines, pages 11-19, Napa, CA, April 1995.

227

M. Dresden and D. Wong. Life games and statistical models. Proceedings
of the National Academy of Sciences (U.S.A., 72:956-960, 1975.

228

J. A. M. S Duarte, Muhammad Sahimi, and Joao Marques de Carvalho. Dynamic
permeability of porous media by cellular automata. Journal de
physique, 2(1):1, 1992.

229

Michel Dubois-Violette and Alain Rouet. A mathematical classification of
the one-dimensional deterministic cellular automata. Communications in
Mathematical Physics, 112:627-631, 1987.

230

Werner Duchting. Tumor growth simulation. Computers and Graphics,
14(3/4):505-508, 1990.

231

Durand. Undecidability of the surjectivity problem for 2D cellular
automata: A simplified proof. Fundamentals (or Foundations) of Computation
Theory, 9, 1993.

232

B. Durand. Global properties of 2D cellular automata: some complexity
results. In MFCS'93, Lecture Notes in Computer Science. Springer
Verlag, September 1993.

233

B. Durand. Global properties of 2D cellular automata: Some complexity
results. In A. M. Borzyszkowski and S. Sokolowski, editors, Proceedings of
Mathematical Foundations of Computer Science (MFCS '93), pages 433-441.
LNCS 711. Springer, September 1993.

234

B. Durand. Undecidability of the surjectivity problem for 2D cellular
automata: A simplified proof. In FCT'93, Lecture Notes in Computer
Science. Springer Verlag, August 1993.

235

B. Durand. Undecidability of the surjectivity problem for 2D cellular
automata: A simplified proof. In Z. Esik, editor, Proceedings of
Fundamentals of Computation Theory (FCT '93), pages 204-211. LNCS 710.
Springer, August 1993.

236

B. Durand. Automates cellulaires: réversibilité et complexité.
PhD thesis, Ecole Normale Supérieure de Lyon, 1994.

237

B. Durand. Inversion of 2D cellular automata: some complexity results.
Theoretical Computer Science, 134:387-401, 1994.

238

B. Durand. Inversion of 2D cellular automata: some complexity results.
Theoretical Computer Science, 134(2):387-401, 1994.

239

B. Durand. The surjectivity problem for 2D cellular automata. Journal
of Computer and Systems Science, 49(3):718-725, 1994.

240

B. Durand. A Random NP-complete problem for inversion of 2D cellular
automata. In STACS'95, volume 900 of Lecture Notes in Computer
Science. Springer Verlag, March 1995.

241

B. Durand. A Random NP-complete problem for inversion of 2D cellular
automata. Theoretical Computer Science, (to appear).

242

Bruno Durand. A random NP-complete problem for inversion of 2D cellular
automata. Theoretical Computer Science, 148(1):19-32, 1995.

243

Rick Durret. Some new games for your computer. Nonlinear Science
Today, 1(4):1-7, 1991.

244

Richard Durrett and Jeffrey E. Steif. Some rigorous results for the
greenberg-hastings model. Journal of Theoretical Probability,
4:669-690, 1991.

245

Charles R. Dyer. One-way bounded cellular automata. Information and
Control, 44(3):261-281, March 1980.

246

Charles R. Dyer and Azriel Rosenfeld. Triangle cellular automata.
Information and Control, 48(1):54-69, January 1981.

247

C. Dytham and B. Shorrocks. Selection, patches and genetic variation: a CA
modelling drosophila populations. Evolutionary Ecology, 6:342-351,
1992.

248

J. D. Eckart. A cellular automata simulation system. SIGPLAN
Notices, 26(8):80-85, [8] 1991.

249

J. D. Eckart. A parallel extendible scalable cellular automata machine:
PE-SCAM. In J. P. Agrawal, V. Kumar, and V. Wallentine, editors,
Proceedings of the Conference on Computer Science, pages 467-472. ACM
Press, March 1992.

250

J. Dana Eckart. A cellular automata simulation system: Version 2.0.
SIGPLAN notices, 27(8):99, August 1992.

251

B. Mikolajczak (ed.). Algebraic and structural automata theory. Annals
of Disc. Math, 44, 1991.

252

Samuel Eilenberg. Automata, Languages, and Machines. Academic
Press, New York, 1974. (ISBN 0-12-234001-9.

253

M. Eisele. Long-range correlations in chaotic cellular automata.
Physica D, 48:295-310, 1991.

254

W Eissler, P Drtina, and A Frohn. Cellular automata simulation of flow
around chains of cylinders. International Journal for numerical methods in
e, 34(3):773, 1992.

255

K Eloranta. Partially premitive cellular automata. Nonlinearity,
6(6):1009, November 1993.

256

K Eloranta. Random walks in cellular automata. Nonlinearity,
6(6):1025, November 1993.

257

Kari Eloranta. The dynamics of defect ensembles in one-dimesional cellular
automata. Journal of Statistical Physics, 76(5 / 6):1377, September
1994.

258

Irving R. Epstein. Spiral waves in chemistry and biology.
Science, 252:67, 1991.

259

G. Bard Ermentrout and Leah Edelstein-Keshet. Cellular automata approaches
to biological modeling. Journal of Theoretical Biology, 160:97-133,
January 1993.

260

M. H Ernst and Shankar P Das. Thermal cellular automata fluids.
Journal of Statistical Physics, 66(1 / 2):465, January 1992.

261

M. H. Ernst and J. W. Dufty. Green-kubo relations for lattice gas cellular
automata. Physics Letters, 138(8):391, 1989.

262

F. C. Richards et al. Extracting CA rules directly from experimental data.
Physica D, 45:189, 1990.

263

G. D. Doolen et al. Lattice gas methods for partial differential
equations. Addison-Wesley, New York, 1990.

264

K. Culik II et al. Computation theoretic aspects of CA. Physica
D, 45:357, 1990.

265

K. Culik II et al. Formal languages and global CA behavior. Physica
D, 45:396, 1990.

266

R. Livi et al. Periodic orbits and long transients in coupled map
lattices. Physica D, 45:452, 1990.

267

Y. Aizawa et al. Soliton turbulence in 1-D CA. Physica D, 45:307,
1990.

268

D. J. Evans and G. M. Megson. Systolic preconditioning algorithms for the
jacobi iterative solution of sparse linear systems. In G. Wolf, T. Legendi,
and U. Schendel, editors, Proceedings of the 4th International Workshop on
Parallel Processing by Cellular Automata and Arrays, pages 256-265. LNCS
342. Springer, October 1988.

269

R Eykholt and J. C Ariyasu. Analytic determination of stationary patterns
of cellular automata. Physics Letters A, 159(8 / 9):379, 1991.

270

E. Fachini and L. Vassalo. Cellular automata with regular behavior.
Complex Systems, 4(4):385-399, August 1990.

271

D. Farmer, T. Toffoli, and S. Wolfram, editors. Cellular
Automata, New York, 1984.

272

Doyne Farmer, Tommaso Toffoli, and Stephen Wolfram, editors. Cellular
Automata, Proceedings of an Interdisciplinary Workshop, Los Alamos, New
Mexico, March 7-11, 1983. North-Holland, Amsterdam.

273

J. D. Farmer, T. Toffoli, and S. Wolfram, editors. Cellular Automata:
Proceedings of an Interdisciplinary Workshop at Los Alamos, New Mexico, March
7-11, 1983, Amsterdam, 1984. North-Holland.
A collection of papers
on the theory and applications of cellular automata.

274

Rasmus Feldberg, Carsten Knudsen, and Steen Rasmussen. Recursive
definition of global cellular-automata mappings. Physical Review E,
49(2):1699, February 1994.

275

R. Fisch. Cyclic CA and related processes. Physica D, 45:19,
1990.

276

A. S. Fokas, E. P. Papadopoulou, and Y. G. Saridakis. Coherent structures
in cellular automata. Physics Letters A, 147:7:369-379, 1990.

277

A. S. Fokas, E. P. Papadopoulou, and Y. G. Saridakis. Soliton cellular
automata. Physica D, 41:297-321, 1990.

278

A. S. Fokas, E. P. Papadopoulu, Y. G. Saridakis, and M. J. Ablowitz.
Interaction of simple particles in soliton cellular automata. Studies in
Applied Mathematics, 81:153-180, 1989.

279

Athanassios S. Fokas, Elena P. Papadopoulou, and Yiannis G. Saridakis.
Particles in soliton cellular automata. Complex Systems,
3(6):615-633, December 1989.

280

Gary Arthur Ford. An Investigation of Embeddings of Cellular Spaces
for Cellular Automata. PhD thesis, Ann Arbor, 1977.

281

Donald R Franceschetti, D. Wayne Jones, and Bruce W Campbell. Hamming
sets, ising sets, cellular automata, neural nets, and the random walk.
American Journal of Physics, 61(1):50, January 1993.

282

E. Fredkin. Digital mechanics: An informational process based on
reversible universal CA. Physica D, 45:254, 1990.

283

Edward Fredkin and Tommaso Toffoli. Conservative logic. International
Journal of Theoretical Physics, 21:219-253, 1982.

284

H. Fried. The checkerboard update glauber model, cellular automata and
ising models. Journal of Physics A, 23(18):4165, 1990.

285

Siegfried Fussy, Gerhard Grossing, and Herbert Schwabl. Nonlocal
computation in quantum cellular automata. Physical Review A,
48(5):3470, November 1993.

286

P. Gacs. Reliable computation with cellular automata. In Proc. 15th
ACM Symposium on Theory of Computing (STOC), pages 32-41, 1983.

287

P. Gacs and X. Reif. A simple three-dimensional real-time reliable
cellular array. STOC, 1985.

288

P. Gacs and X. Reif. A simple three-dimensional real-time reliable
cellular array. JCSS, 36, 1988.

289

Peter Gács. Reliable computation with cellular automata. Journal of
Computer and Systems Science, 32(1):15-78, February 1986.

290

Peter Gács. Self-correcting two-dimensional arrays. In Silvio Micali,
editor, Randomness in Computation, volume 5 of Advances in
Computing Research (a scientific annual), pages 223-326. JAI Press,
Greenwich, Conn., 1989.

291

Michael J Gaeta and Bahram Nassersharif. A stochastic cellular automata
model for neutron transport. Nuclear science and engineering,
113(1):56, January 1993.

292

J. A. C. Gallas, P. Grassberger, H. J. Herrmann, and P. Ueberholz. Noisy
collective behavior in deterministic cellular automata. Physica A,
180:19-41, 1992.

293

Ernest Gallo. Cellular automata and the humanities. Journal of
Computing in higher education, 6(1):63, 1994.

294

JBC Garcia, MAF Gomes, TI Juh, TI Ren, and TRM Sales. Nonlinear dynamics
of the cellular-automaton 'game of life'. Physical Review E,
48(5):3345-3351, nov 1993.

295

P. L Garcia-Ybarra, A Lopez-Martin, and J. C Antoranz. Unsteady potential
flows computation by cellular automata: The premixed flame instability.
Transport theory and statistical physics, 23(1 / 3):173, 1994.

296

M. Gardner. Mathematical Games: On cellular automata, self-reproduction,
the garden of eden and the game of `Life'. Scientific American,
224(2):112-117, February 1971.
Follow-up article on LIFE and other CA
rules.

297

Martin Gardner. Mathematical games - the fantastic combinations of john
conway's new solitaire game, life. Scientific American, pages
120-123, October 1970.

298

Martin Gardner. Wheels, Life, and Other Mathematical Amusements.
W. H. Freeman and Company, New York, 1983. ISBN 0-7167-1589-9.

299

M. Garzon. Cellular automata and discrete neural networks. Physica
D, 45:431-440, 1990.

300

P. Gastin and A. Petit. Asynchronous cellular automata for infinite
traces. In W. Kuich, editor, Proceedings on Automata, Languages and
Programming (ICALP '92), pages 583-594. LNCS 623. Springer, July 1992.

301

Richard J. Gaylord and Kazume Nishidate. Modeling nature with cellular
automata using Mathematica. Springer-Verlag, Berlin, Germany /
Heidelberg, Germany / London, UK / etc., 1996.

302

Richard J. Gaylord and Paul R. Wellin. Computer Simulations with
Mathematica: Explorations in the Physical and Biological Sciences. ?,
1994.

303

M. Gerhardt, H. Schuster, and J. J. Tyson. A cellular automata model of
exitable media. Physica D, 46:392-415, 1990.

304

X. Gerhardt and X. Schuster. A cellular automation describing the
formation of spatialy ordered structures in chemical systems. Physica
D, 36:209, 1989.

305

X. Gerhardt and X. Schuster. Anregungen. Heft, 2:44-50, 1992.

306

R. W. Gerling. Classification of 3-state and 4-state cellular automata.
Physica A., 167(3):611, 1990.

307

R. W. Gerling. Classification of triangular and honeycomb cellular
automata. Physica A, 162:196-209, 1990.

308

D. Gernert. Cellular automata and the concept of space. In J. Becker, I.
Eisele, and F. Mündemann, editors, Parallelism, Learning, Evolution :
Proceedings of the Workshop on Evolutionary Models and Strategies/Proceedings
of the Workshop on Parallel Processing : Logic, Organization, and Technology
(WOPPLOT 89), pages 94-102. LNAI 565. Springer Verlag, July 1989.

309

Reza Gharavi and Venkat Anantharam. Effect of noise on long-term memory in
cellular automata with asynchronous delays between the processors. Complex
Systems, 6(3):287, June 1992.

310

Glickstein and Stiles. Cellular automata paradigm. IEEE aerospace and
electronic systems magazine, 7(1):32, January 1992.

311

Jurgen Goicoechea and Jordi Ortin. Hysteresis and return-point memory in
deterministic cellular automata. Physical Review Letters,
72(14):2203, 1994.

312

E Goles, A Maass, and S Martinez. On the limit set of some universal
cellular automata. Theoretical computer science, 110(1):53, 1993.

313

Eric Goles and Andrew M. Odlyzko. Decreasing energy functions and lengths
of transients for some cellular automata. Complex Systems,
2(5):501-507, October 1988.

314

Solomon W. Golomb. Shift Register Sequences. Holden-Day, Inc.,
1967.

315

U. Golze. (A-)synchronous (non-)deterministic cell spaces simulating each
other. J. Computer and Systems Sciences, 17:176-193, 1978.

316

Gorodkin, Sorensen, and Winther. Neural networks and cellular automata
complexity. Complex Systems, 7, 1993.

317

Gary R Gorson. Using cellular automata as biological oscilators. AI
expert, 9(9):30, September 1994. Artificial life experiments use coupled
oscillators and the emergent behavior of groups of identical cellular
automata.

318

R. Wm. Gosper. Exploiting regularities in large cellular spaces.
Physica D, 10:75-80, 1984.

319

M. Gössel, V. V. Kaversnev, and B. Rebel. Parallel memories for straight
line and rectangle access. In G. Wolf, T. Legendi, and U. Schendel, editors,
Proceedings of the 4th International Workshop on Parallel Processing by
Cellular Automata and Arrays, pages 89-0. LNCS 342. Springer, October
1988.

320

Walter Helbig Gottschalk and Gustav Arnold Hedlund. Topological
Dynamics. American Mathematical Society, Providence, Rhode Island, 1955.

321

P. Grassberger. Chaos and diffusion in deterministic cellular automata.
Physica D, 10:52-58, 1984.

322

Peter Grassberger. unknown. Physica D, 10:52, 1984.

323

Peter Grassberger. appendix. In Stephan Wolfram, editor, Theory and
Applications of Cellular Automata. World Scientific, 1986.

324

Peter Grassberger. Long-range effects in an elementary cellular automaton.
Journal of Statistical Physics, 45:27-39, 1986.

325

Peter Grassberger. Problems in quantifying self-generated complexity.
Helvetica Physica Acta, 62:489, 1989.

326

Lawrence F. Gray. The positive rates problem for attractive nearest
neighbor spin systems on z. Z. Wahrscheinlichkeitstheorie verw.
Gebiete, 61:389-404, 1982.

327

Lawrence F. Gray. The behavior of processes with statistical mechanical
properties. In Percolation Theory and Ergodic Theory of Infinite Particle
Systems, pages 131-167. Springer-Verlag, 1987.

328

Green. NP-complete problems in cellular automata. Complex
Systems, 1, 1987.

329

D. G. Green. Simulated effects of fire, dispersal and spatial pattern on
ceompetition within forest mosaics. Vegetation, 82:139-154, 1982.

330

D. G. Green. Cellular automata models in biology. Mathematical and
computer modelling, 13(6):69, 1990.

331

D. G. Green, House A. P. N., and S. M. House. Simulating spatial patterns
in forest ecosystems. Mathematics and Computers in Simulation,
27:191-198, 1985.

332

David G. Green and Terry J. Bossomaier, editors. Complex Systems: From
Biology to Computation. IOS Press, Amsterdam, 1993.

333

David Geoffrey Green. Cellular automata models of crown-of-thorns
outbreaks. In R. H. Bradbury, editor, Acanthaster and the Coral Reef:A
Theoretical Perspective, volume 88 of Lecture Notes in
Biomathematics, pages 169-188. Springer-Verlag, Berlin, 1990.

334

J. M. Greenberg, C. Greene, and S. Hastings. A combinatorial problem
arising in the study of reaction-diffusion equations. SIAM Journal of
Algebra and Discrete Mathematics, 1:34-42, 1980.

335

J. M. Greenberg, B. D. Hassard, and S. P. Hastings. Pattern formation and
periodic structures in systems modelled by reaction-diffusion equations.
Bulletin of the American Mathematical Society, 84:1296-1327, 1978.

336

J. M. Greenberg and S. P. Hastings. Spatial patterns for discrete models
of diffusion in excitable media. SIAM Journal on Applied Mathematics,
34:515-523, 1978.

337

S. Di Gregorio and G. Trautteur. On reversibility in cellular automata.
Journal of Computer and System Sciences, 11(3):382-391, December
1975.

338

Patrick Grim. Undecidability of the spatialized prisoner's dilemma.
Technical report, Group for Logic and Formal Semantics, Dept. of Philosophy,
SUNY at Stony Brook, Stony Brook, NY 11794. request to
[email-masked], report number 94-01.

339

G. Grinstein, C. Jayaprakash, and Yu He. Statistical mechanics of
probabilistic cellular autonata. Physical Review Lettrers,
65:2527-2530, 1985.

340

G Grossing and A Zeilinger. Zeno's paradox in quantum cellular automata.
Physica D, 50(3):321, July 1991.

341

Gerhard Grössing and Anton Zeilinger. A conservation law in quantum
cellular automata. Physica D, 31:70-77, 1988.

342

Gerhard Grossing and Anton Zeilinger. Quantum cellular automata.
Complex Systems, 2(2):197-208, April 1988.

343

Gerhard Grossing and Anton Zeilinger. Quantum cellular automata: A
corrigendum. Complex Systems, 2(5):611-623, October 1988.

344

Jozef Gruska. Why we should not any longer only repair, polish, and iron
current computer science educations. Paper von Vollmar. Preliminary version
Dec 17, 1991. new concept of computer science education, examples of profound
theoretical advances in parallel computing (complexity issues and cellular
automata), December 1991.

345

P. Guan. Cellular automaton public-key cryptosystems. Complex
Systems, 1, 1987.

346

Puhua Guan and Yu He. Upper bound on the number of cycles in
border-decisive cellular automata. Complex Systems, 1:181-186, 1987.

347

H. Gutowitz. Frequently asked questions about cellular automata.
periodically updated.
http://alife.santafe.edu/alife/topics/cas/ca-faq/ca-faq.html.

348

H. Gutowitz. Mean field vs. wolfram classification of cellular automata.
1989.

349

H. Gutowitz. Cellular automata and the sciences of complexity.
Complexity, in press, 1996. review in two parts of some problems in
CA.

350

H. Gutowitz and C. Langton. Methods for designing 'interesting' cellular
automata. CNLS News Letter, 1988.

351

H. A. Gutowitz and J. D. Victor. Local structure theory in more than one
dimension. Complex Systems, 1:57-68, 1987.

352

H. A. Gutowitz and J. D. Victor. Local structure theory: Calculation on
hexagonal arrays, and the interaction of rule and lattice. Journal of
Statistical Physics, 54:495-514, 1989.

353

H. A. Gutowitz, J. D. Victor, and B. W. Knight. Local structure theory for
cellular automata. Physica D, 28:18-48, 1987.

354

H.A. Gutowitz and C. Domain. The topological skeleton of cellular
automaton dynamics. Physica D, accepted, 1995.

355

H.A. Gutowitz and Chris Langton. Mean field theory of the edge of chaos.
In F. Moran, A. Moreno, J.J. Merelo, and P. Chacon, editors, Advances in
Artificial Life: Proceedings of the Third European Conference on Artifical
Life, number 929 in Lecture Notes In Artificial Intelligence. Springer,
1995.

356

Howard Gutowitz. Statistical properties of cellular automata in the
context of learning and recognition. part I: Introduction. In K. H. Zhao,
editor, Learning and Recognition-A Modern Approach, pages 233-255.
World Scientific Publishing, Singapore, 1989.

357

Howard Gutowitz. Statistical properties of cellular automata in the
context of learning and recognition. part II: Inverting local structure theory
equations to find cellular automata with specified properties. In K. H. Zhao,
editor, Learning and Recognition-A Modern Approach, pages 256-280.
World Scientific Publishing, Singapore, 1989.

358

Howard Gutowitz. A hierarchical classification of CA. Physica D,
45:136, 1990.

359

Howard Gutowitz. Introduction (to cellular automata). Physica D,
45:vii, 1990.

360

Howard Gutowitz. Maps of recent CA and lattice gas automata literature.
Physica D, 45:477, 1990.

361

Howard Gutowitz, editor. Cellular Automata: Theory and
Experiment, 1991. Published as Physica D45 (1990) Nos. 1-3, and as MIT
press book.

362

Howard Gutowitz. Transients, cycles and complexity in cellular automata.
Physical Review A, 44(12):7881-7884, December 1991.

363

Howard Gutowitz. Method and apparatus for encryption, decryption, and
authentication using dynamical systems. U.S. Patent 5,365,589 Issued Nov.
15, 1994, 1992.

364

Paul Halpern. Sticks and stones: a guide to structurally dynamic cellular
automata. American Journal of Physics, 57(5):405-408, May 1989.

365

Paul Halpern and Gaetano Caltagirone. Behavior of topological cellular
automata. Complex Systems, 4(6):623-651, December 1990.

366

W. Händler. Multiprocessor arrays: Topology, efficiency and
faulttolerance. In G. Wolf, T. Legendi, and U. Schendel, editors,
Proceedings of the 4th International Workshop on Parallel Processing by
Cellular Automata and Arrays, pages 15-32. LNCS 342. Springer, October
1988.

367

Per Brinch Hansen. Parallel cellular automata: A model program for
computational science. Concurrency: Practice and Experience,
5(5):425-448, August 1993.

368

Fred Hapgood. Let there be life. Omni, 9(7):40-46 and 116-117,
April 1987.

369

Harao and Noguchi. Fault tolerant cellular automata. Journal of
Computer and Systems Sciences, 11, 1975.

370

Masateru Harao and Shoichi Noguchi. Fault tolerant cellular automata.
Journal of Computer and System Sciences, 11(2):171-185, October 1975.

371

H. Hartman and P. Tamayo. Reversible CA and chemical turbulence.
Physica D, 45:293, 1990.

372

H. Hartman and G. Vichniac. Inhomogenous cellular automata. In E.
Bienenstock and et al., editors, Disordered Systems and Biological
Organization. unknown, 1900.

373

Juris Hartmanis. In J. Wiederman and P. Hajek, editors, On the
Computing Paradigm and Computational Complexity MFCS'95, volume LNCS
No.969, pages 82-92. Springer, Berlin, 1995. In this paper you will find an
overview of the state of affairs in computational complexity theory. Note that
the author is probably No.1 world authority in the subject. The paper includes
also an interesting disscussion of recent Adleman's molecular solution of the
Hamiltonian path problem. The conclusion is that even molecular computations
can not escape the exponential curse. The weight of "soup" becomes
prohibitive. The calculations show that for a graph with 200 nodes the
biologically encoded set of paths will weight more than the Earth ! The
exponential function grows too fast and even atoms are a bit too heavy to
break this barrier.

374

Wilhelm Hasselbring. CELIP: A cellular language for imaging processin.
Parallel Computing, 14:99-109, 1990.

375

B. Hasslacher and D. A. Meyer. Knot invariants and CA. Physica D,
45:328, 1990.

376

Tadatsugu Hatori. Magnetohydynamic cellular automata. Progress of
Theoretical Physics (supplement), (99):229, 1989.

377

Brian Hayes. Computer recreations - the cellular automaton offers a model
of the world and a world unto itself. Scientific American, pages
10-16, March 1984.

378

Tom Head. One-dimensional cellular automata: Injectivity from unambiguity.
Complex Systems, 3(4):343-348, August 1989.

379

G. A. Hedlund. Endomorphisms and automorphisms of the shift dynamical
system. Mathematical Systems Theory, 3:320-375, 1969.

380

Jörg Heitkötter. HODGE-C: An implementation of Gerhard and Schuster's
hodge-podge machine. C source code, Systems Analysis Research Group, LSXI,
University of Dortmund, Department of Computer Science, D-44221 Dortmund,
Germany, March 1993. Available via anon. ftp to
lumpi.informatik.uni-dortmund.de as file `hodge-c-0.98j.tar' in
/pub/CA/src.

381

Hellwagner. A fault detection method in partially utilized cellular
(systolic) arrays. In Proceedings of the 3rd International Workshop on
Parallel Processing by Cellular Automata and Arrays.
North-Holland/Akademie-Verlag, 1986.

382

Hemmerling. On the power of cellular parallelism. In Proceedings of
the 3rd International Workshop on Parallel Processing by Cellular Automata and
Arrays. North-Holland/Akademie-Verlag, 1986.

383

Hemmerling. Real-time recognition of some languages by trellis and
cellular automata and full scan turing machines. Bulletin of the European
Association for Theoretical Computer Science, 29, 1986.

384

A Hemmerling. Concentration of multidimensional tape-bounded systems fo
turing automata and cellular spaces. Proc. FCT 79, pages 167-174,
1979.

385

A. Hemmerling. Systeme von turing-automaten und zellularraume auf
rahmbaren pseudomustermengen. EIK 15, pages 47-74, 1979.

386

A. Hemmerling. On the computational equivalence of synchronous and
asynchronous cellular spaces. Elektronische Informationsverarbeitung und
Kybernetik, (now J. Inf. Process. Cybern. EIK), 18:423-434, 1982.

387

Armin Hemmerling. Concentration of multidimensional tape-bounded systems
of Turing automata and cellular spaces. In L. Budach, editor, Fundamentals
of Computation Theory, pages 167-174, Berlin, 1979. Akademie-Verlag.

388

Armin Hemmerling. Systeme von Turing-Automaten und Zellularräume auf
rahmbaren Pseudomustermengen. Elektronische Informationsverarbeitung und
Kybernetik, 15(1/2):47-72, 1979.

389

J Hemmingsson and H. J Herrmann. On oscillations in cellular automata.
Europhysics Letters, 23(1):15, July 1993.

390

J Hemmingsson and Gongwen Peng. Phase transition from periodic to
quasiperiodic behaviour in 4D cellular automata. Journal of Physics
A, 27(8):2735, 1994.

391

Kelvin C. Henry. Exploring cellular automata using a two-dimensional
genetic algorithm. In John R. Koza, editor, Genetic Algorithms at Stanford
1994, pages 57-66. Stanford Bookstore, Stanford, California, 94305-3079
USA, December 1994.

392

G. T. Herman and G. Rozenberg. Developmental Systems and
Languages. North-Holland, 1975.

393

H. J. Herrmann. Fast algorithm for the simulation of Ising models.
Journal of Statistical Physics, 45:145-151, 1986.

394

H. W Hesselbarth and I. R Gnobel. Simulation of recrystallization by
cellular automata. Acta metallurgica et materialia, 39(9):2135,
September 1991.

395

H. W Hesselbarth and E Steck. A simulation of dislocation patterning
derived from cellular automata. Solid state phenomena, 23 / 24:445,
1992.

396

D. Hiebeler. A brief review of CA packages. Physica D, 45:463,
1990.

397

W D Hillis. The connection machine: a computer architecture based on
cellular automata. Physica, 10(D):213-228, 1984. HILLIS84.

398

D Hillman. The structural of reversible one-dimensional cellular automata.
Physica D, 52(2 / 3):277, September 1991.

399

David Hillman. The structure of reversible one-dimensional cellular
automata. Physica D, 54:277-292, 1991.

400

A. Hlawiczka and M. Kopec. Concatenable cellular automata register design
for built-in self-test. In IEEE, editor, Proceedings of the European
Conference on Design Automation, pages 164-168. IEEE Computer Society
Press, March 1992.

401

A. Hof and O. Knill. Cellular automata with almost periodic initial
conditions. Nonlinearity, 8:477-491, 1995.

402

P. Hogeweg. Cellular automata as a paradigm for ecological modeling.
applied Mathematics and Computation, 27:81-100, 1988.

403

P. Hogeweg and B. Hesper. Crowns crowding:an individual oriented model of
the acanthaster phenomenon. In R. H. In Bradbury, editor, Acanthaster and
the Coral Reef:A Theoretical Perspective, volume 88 of Lecture Notes
in Biomathematics, pages 169-188. Springer-Verlag, Berlin, 1990.

404

J. Andrew Holey and Oscar H. Ibarra. Triangulation, voronoi diagram, and
convex hull in K-space on mesh-connected arrays and hypercubes. In
Proceedings of the 1991 International Conference on Parallel
Processing, volume III, Algorithms &; Applications, pages
III-147-III-150, Boca Raton, FL, August 1991. CRC Press.

405

Holland. Hierarchical descriptions, universal spaces, and adaptive
systems. In Essays on Cellular Automata, ed. Arthur W. Burks, University
of Illinois Press, Urbana, Chicago, London. 1970.

406

Holland. Iterative circuit computers. In Essays on Cellular Automata,
ed. Arthur W. Burks, University of Illinois Press, Urbana, Chicago,
London. 1970.

407

Holland. Outline for a logical theory of adaptive systems. In Essays
on Cellular Automata, ed. Arthur W. Burks, University of Illinois Press,
Urbana, Chicago, London. 1970.

408

Holland. A universal computer capable of executing an arbitrary number of
subprograms simultaneously. In Essays on Cellular Automata, ed. Arthur W.
Burks, University of Illinois Press, Urbana, Chicago, London. 1970.

409

J. H. Holland. Studies of the spontaneous emergence of self-replicating
systems using cellular automata and formal grammars. In A. Lindenmayer and G.
Rozenberg, editors, Automata, Languages, Development, pages 385-404.
North-Holland, 1976.
A study demonstrating the necessity of stable
sub-configurations for the emergence of reproducing entities in any reasonable
time.

410

Hollerer and Vollmar. On ``forgetful'' cellular automata. Journal of
Computer and Systems Sciences, 11, 1975.

411

W. O. Höllerer and R. Vollmar. On ``forgetful'' cellular automata.
Journal of Computer and System Sciences, 11(2):237-251, October 1975.

412

Hortensius, Card, McLeod, and Pries. Importance sampling for ising
computers using one-dimensional cellular automata. IEEE Transactions on
Computers, 38, 1989.

413

Hortensius, McLeod, Pries, Miller, and Card. Cellular automata-based
pseudorandom number generators for built-in self-test. IEEE Transactions
on Computer-Aided Design of Integrated Circuits and Systems, 8, 1989.

414

P. D. Hortensius, R. D. McLeod, and H. C. Card. Parallel random number
generation for VLSI systems using cellular automata. IEEE trans. on
comp., C-38, 10:1466-1473, 1989.

415

P. D. Hortensius, R. D. McLeod, and H. C. Card. Cellular automata-based
signature analysis for built-in self-test. IEEE Transactions on
Computers, 39(10):1273-1283, [10] 1990.

416

P. D. Hortensius, R. D McLeod, and B. W. Podaima. Cellular automata
circuits for built-in self-test. Ibm journal of research and
development, 34(2 / 3):389, 1990.

417

P. D. Hortensius, R. D. McLeod, and B. W. Podaima. Cellular automata
circuits for built-in self-test. IBM Journal of Research and
Development, 34(2/3):389-405, 1990.

418

N. Howard, R. Taylor, and N. Allinson. The design and implementation of a
massively-parallel fuzzy architecture. Proc. IEEE, pages 545-552,
March 1992.

419

N. Howard and R. W. Taylor. Reconfigurable logic: technology and
applications. Computing &; Control Engineering Journal,
3(5):235-240, September 1992.

420

J Huang, G Narkounskaia, and D. L Turcotte. A cellular-automata
slider-block model for earthquakes.-II. demonstration of self-organized
criticality for a 2-D system. Geophysical journal international,
111(2):259, November 1992.

421

B. A. Huberman and N. Glance. Evolutionary games and computer simulations.
Proceedings of the National Academy of Sciences, USA, 90:7716-7718,
August 1993.

422

L. P Hurd, J Kari, and K Culik. The topological entropy of cellular
automata is uncomputable. Ergodic theory and dynamical systems, 12 p
2:255, June 1992.

423

Lyman P. Hurd. Formal language characterizations of cellular automaton
limit sets. Complex Systems, 1:69-80, 1987.

424

Lyman P. Hurd. The non-wandering set of a CA map. Complex
Systems, 2:549-554, 1988.

425

Lyman P. Hurd. Nonrecursive cellular automata invariant sets. Complex
Systems, 4(2):131-138, April 1990.

426

Lyman P. Hurd. Nonrecursive cellular automata invariant sets. Complex
Systems, 4(2):131-138, April 1990.

427

Lyman P. Hurd. Recursive cellular automata invariant sets. Complex
Systems, 4(2):119-129, April 1990.

428

M. Hurley. Ergodic aspects of cellular automata. Ergodic theory and
dynamical systems, 10(4):671, 1990.

429

Mike Hurley. Varieties of periodic attractor in cellular automata.
Transactions of the american mathematical society, 326(2):701, August
1991.

430

Mike Hurley. Attractors in restricted cellular automata. Proceedings
of the American Mathematical Society, 115(2):563, June 1992.

431

J. Hutchinson. Fractal and self-similarity. Indiana Univ. Journal of
Mathematics, 30(5):713-747, 1981.

432

O. H. Ibarra, T. Jiang, and H. Wang. String editing on a one-way linear
array of finite-state machines. IEEE Transactions on Computers,
41:1:112-118, 1992.

433

O. H. Ibarra, S. M. Kim, and S. Moran. Sequential machine
characterizations of trellis and cellular automata and applications. SIAM-
JC, 14:426-447, 1985.

434

Oscar H. Ibarra and Tao Jiang. On one-way cellular arrays. SIAM
Journal on Computing, 16:1135-1154, 1987.

435

Shin ichi Tadaki. Orbits in one-dimensional finite linear cellular
automata. Physical Review E, 49(2):1168, February 1994.

436

Shin ichi Tadaki and Shinya Matsufuji. Periodicity in one-dimensional
finite linear cellular automata. Progress of Theoretical Physics,
89(2):325, February 1993.

437

K. Culik II, J Pachl, and S Yu. On the limit sets of cellular automata.
SIAM Journal of Computing, 18(4):831, 1989.

438

K. Culik II and S. Yu. Undecidability of CA classification schemes.
Complex Systems, 2:177-190, 1988.

439

Ilachinski and Halpern. Structurally dynamic cellular automata.
Complex Systems, 1, 1987.

440

Ishii. Measure theoretic approach to the classification of cellular
automata. Discrete Applied Mathematics and Combinatorial Operations
Research and Computer Science, 39:125, 1992.

441

Robert Itami. Cellular worlds-models for dynamic conceptions of landscape.
Landscape Architecture, pages 52-57, July 1988.

442

Ito, Osato, and Nasu. Linear cellular automata over . Journal of Computer and Systems Sciences, 27, 1983.

443

Hiroyuki Ito. Intriguing properties of global structure in some classes of
finite cellular automata. Physica D, 31:318-338, 1988.

444

Masanobu Itô, Nobuyasu Ôsato, and Masakazu Nasu. Linear cellular automata
over . Journal of Computer and System
Sciences, 27(1):125-140, August 1983.

445

E. T. Jaynes. probability theory-the logic of science. unknown,
1900.

446

T. Jebelean. Cellular automata as parallel devices for language
recognition. Analele Univ. Timisoara 26, 3, Univ. Timisoara, Timisoara,
Roumania, 1988.

447

T. Jebelean. Constant-time recognition of regular languages by one-way
one-dimensional cellular automata. In Proceedings of the International
Conference "300 Jahre Mathematische Gesellschaft in Hamburg" (March 1990,
Hamburg, Germany), May 1990.

448

T. Jebelean. Real-time recognition of context-free languages by one-way
one-dimensional cellular automata. Analele univ. iasi, Univ. Iasi, Iasi,
Roumania, 1990.

449

Tudor Jebelean. Long Integer Multiplication by Cellular Automata.
Technical report, RISC-Linz, Johannes Kepler University, Linz, Austria, 1991.

450

Tudor Jebelean. Long Integer Multiplication by Cellular Automata: An
Annotated Bibliography. Technical report, RISC-Linz, Johannes Kepler
University, Linz, Austria, 1993. Draft in progress.

451

Jen. Preimages and forecasting for cellular automata. In 1989 Lectures
in Complex Systems, The Proceedings of the 1989 Complex Systems Summer
School. Lectures Volumes II and III, Santa Fe Institute/Studies in the
Sciences of Complexity, Addison-Wesley, 1990.

452

E. Jen. Aperiodicity in one-dimensional CA. Physica D, 45:3,
1990.

453

E Jen. Exact solvability and quasiperiodicity of one-dimensional cellular
automata. Nonlinearity, 4(2):251, May 1991.

454

Erica Jen. Global properties of cellular automata. Journal of
Statistical Physics, 43:219-242, 1986.

455

Erica Jen. Scaling of preimages in cellular automata. Complex
Systems, 1(6):1045-1062, December 1987.

456

Erica Jen. Cylindrical cellular automata. Communications in
Mathematical Physics, 118:569-590, 1988.

457

Erica Jen. Linear cellular automata and recurring sequences in finite
fields. Communications in Mathematical Physics, 119:13-28, 1988.

458

Erica Jen. Enumeration of preimages in cellular automata. Complex
Systems, 3(5):421-456, October 1989.

459

C. Jesshope, P. Miller, and J. Yantchev. Programming with active data ll.
In G. Wolf, T. Legendi, and U. Schendel, editors, Proceedings of the 4th
International Workshop on Parallel Processing by Cellular Automata and
Arrays, pages 1-130. LNCS 342. Springer, October 1988.

460

Jonoska. Spinal cellular automata. In Advances in Computing and
Information-ICCI: 4th International Conference on Computing and
Information. LNCS, Springer-Verlag, 1992.

461

Kendall Preston Jr. and Michael J. B. Duff. Modern Cellular
Automata. Plenum Press, New York, 1984. ISBN 0-306-41737-5.

462

K. Kaneko. Period-doubling of kink-antikink patterns, quasiperiodicity in
antiferro-like structures and spatial intermittency in coupled logistic
lattice. Progress of Theoretical Physics, 72:480, 1984.

463

K. Kaneko. Spatiotemporal intermittency in coupled map lattices.
Progress of Theoretical Physics, 74:1033, 1985.

464

K. Kaneko. Attractors, basin structures and information processing in
cellular automata. In S. Wolfram, editor, Theory and applications of
cellular automata. World Scientific, Singapore, 1986.

465

K. Kaneko. Lyapunov analysis and information flow in coupled map lattices.
Physica, 23D:436, 1986.

466

K. Kaneko. Phenomenology and characterization of coupled map lattices. In
Dynamical Systems and Singular Phenomena, Singapore, 1986. World
Scientific.

467

K. Kaneko. Pattern dynamics in spatiotemporal chaos. Physica D,
34:1, 1989.

468

K. Kaneko. Spatiotemporal chaos in one- and two-dimensional coupled map
lattices. Physica D, 35, 1989.

469

B. K Kar, A Gupta, and P Pal. On explicit expressions in additive cellular
automata theory. Information sciences, 72(1 / 2):83, August 1993.

470

J. Kari. Decision problems concerning cellular automata. PhD
thesis, University of Turku (Finland), 1990.

471

J. Kari. Reversability of 2D cellular automata is undecidable.
Physica, D 45:379-385, 1990.

472

J. Kari. Cryptosystems based on reversible cellular automata.
preprint, April 1992.

473

J. Kari. Reversibility and surjectivity problems of cellular automata.
Journal of Computer and Systems Sciences, 48:149-182, 1994.

474

J. Kari. Rice's theorem for the limit set of cellular automata.
Theoretical Computer Science, 127(2):229-254, 1994.

475

J. Kari. Representation of reversible cellular automata with block
permutations. Mathematical Systems Theory, 29(1):47-61, 1996.

476

Jarkko Kari. The nilpotency problem of one-dimensional cellular automata.
Siam journal on computing, 21(3):571, June 1992.

477

Saul Kato. A discrete artificial organic chemistry and search for
autocatalysis. In John R. Koza, editor, Artificial Life at Stanford
1994, pages 54-63. Stanford Bookstore, Stanford, California, 94305-3079
USA, June 1994.

478

H. Katona. A transitive closure algorithm for a 16-state cellprocessor. In
G. Wolf, T. Legendi, and U. Schendel, editors, Proceedings of the 4th
International Workshop on Parallel Processing by Cellular Automata and
Arrays, pages 285-290. LNCS 342. Springer, October 1988.

479

S. A Kauffman. Metabolic stability and epigenisis in randomly constructed
genetic nets. J. Theoretical Biology, 22:437-467, 1969.

480

S. A Kauffman. Emergent properties in random complex systems. Physica
D, 10:146-156, 1984.

481

Yasuo Kawahara. Existence of the characteristic numbers associated with
cellular automata with local transition rule 90. Bulletin of informatics
and cybernetics, 24(3 / 4):121, March 1991.

482

Lemont B Kier and Chao-Kun Cheng. A cellular automata model of water.
Journal of chemical information and computer sci, 34(3):647, May
1994.

483

S. Kim and R. McCloskey. A characterization of constant-time CA
computation. Physica D, 45:404, 1990.

484

T. R Kirkpatrick and M. H Ernest. Kinetic theory for lattice-gas cellular
automata. Physical Review A, 44(12):8051, 1991.

485

Knackstedt, Muhammad Sahimi, and Derek Y. C Chan. Cellular-automata
calculation of frequency-dependent permeability of porous media. Physical
Review E, 47(4):2593, April 1993.

486

Kojiro Kobayashi. The firing squad synchronization problem for
two-dimensional arrays. Information and Control, 34:177-197, 1977.

487

Youichi Kobuchi and Hidenosuki Nishio. Some regular state sets in the
system of one-dimensional iterative automata. Information Sciences,
5:199-216, 1973.

488

Peter Kochevar. Frontiers of rendering: The lunatic fringe. In
SIGGRAPH '91 Frontiers in Rendering course notes. July 1991. 3D
cellular automata.

489

Peter Kochevar. Global illumination in voxel environments: An excursion in
massively parallel computation. In ACM SIGGRAPH '91 Course Notes -
Frontiers in Rendering. July 1991. 3D cellular automata.

490

Peter Kochevar. A simple light simulation algorithm for massively parallel
machines. In SIGGRAPH '91 Frontiers in Rendering course notes. July
1991. 3D cellular automata.

491

Zvi Kohavi. Switching and Finite Automata Theory. McGraw-Hill
Book Company, New York, 1978. ISBN 0-07-035310-7.

492

G. A Kohring. Calculations of drag coefficients via hydrodynamic cellular
automata. Journal de physique, 2(3):265, March 1992.

493

G. A Kohring. The cellular automata approach to simulating fluid flows in
porous media. Physica A, 186(1 / 2):97, 1992.

494

G. A Kohring. An efficient hydrodynamic cellular automata for simulating
fluids with large viscosities. Journal of Statistical Physics, 66(3 /
4):1177, February 1992.

495

G. A Kohring. Towards the classification of all boolean cellular automata.
Physica A, 182(3):320, 1992.

496

Tamotsu Kohyama. Cluster growth in particle-conserving cellular automata.
Journal of Statistical Physics, 63(3 / 4):637, May 1991.

497

A. N. Kolmogorov. Foundations of the Theory of Probability.
Chelsea Publishing Company, D New York, 1950.

498

K Kometer, G Zandler, and P Vogl. Cellular automata simulation of
stationary and transient high-field transport in submicron si and gaas
devices. Semiconductor science and technology, 7(3B):559, March 1992.

499

X. P. Kong and E. G. D. Cohen. Diffusion and propagation in triangular
lorentz lattice gas cellular automata. Journal of Statistical
Physics, 62(3 / 4):737, 1991.

500

I Korec. The 3x + 1 problem, generalized pascal triangles and cellular
automata. Mathematica Slovaca, 42(5):547, 1992.

501

E. Körner, M. Gross, A. Richter, and H. Shimizu. Control of sensory
processing - a hypothesis on and simulation of the architecture of an
elementary cortical processor. In G. Wolf, T. Legendi, and U. Schendel,
editors, Proceedings of the 4th International Workshop on Parallel
Processing by Cellular Automata and Arrays, pages 291-297. LNCS 342.
Springer, October 1988.

502

V. E. Kotov. Modular highly-parallel computation and architectures. In G.
Wolf, T. Legendi, and U. Schendel, editors, Proceedings of the 4th
International Workshop on Parallel Processing by Cellular Automata and
Arrays, pages 147-156. LNCS 342. Springer, October 1988.

503

John R. Koza. Discovery of rewrite rules in lindenmayer systems and state
transition rules in cellular automata via genetic programming. In
Symposium on Pattern Formation (SPF-93), Claremont, California, USA,
1993.

504

K. B. Krohn and J. L. Rhodes. Algebraic theory of machines. In
Mathematical Theory of Automata, pages 341-384. Polytechnic Press,
Brooklyn, New York, 1963.

505

Krystian Kubica. The cellular automata for lipid membranes. Applied
Mathematics and Computation, 63(2 / 3):187, July 1994.

506

Krystian Kubica. Cellular automata studies of cholesterol effects on
gramicidin ion conductivity. Applied Mathematics and Computation,
64(2 / 3):101, September 1994.

507

Krystian Kubica and Janina Kuczera. An application of cellular automata to
model a lipid membrane. Applied Mathematics and Computation,
39(1):49, 1990.

508

Satoru Kumamoto, Nobito Yamamoto, and Masaya Nohmi. On dynamical behavior
of gauss-seidel type finite cellular automata. Memoirs of the Faculty of
Science, Kyusyu Univer, 47(1):15, March 1993.

509

M. Kunde. Bounds for 1-selection and related problems on grids of
processors. In G. Wolf, T. Legendi, and U. Schendel, editors, Proceedings
of the 4th International Workshop on Parallel Processing by Cellular Automata
and Arrays, pages 298-307. LNCS 342. Springer, October 1988.

510

Anthony J. C. Ladd and Daan Frenkel. Dissipative hydrodynamic interactions
via lattice-gas cellular automata. Physics of fluids.A, 2(11):1921,
1990.

511

Scott Robert Ladd. C++ Simulations and Cellular Automata/Book and
Disk. M and T BOOKS, 1995. ISBN: 1558514473.

512

C. G. Langton. Self-reproduction in cellular automata. Physica D,
10(1-2):135-144, 1984.
Details of a simple self-reproducing CA
configuration.

513

C. G. Langton. Self-reproduction in cellular automata. Physica D,
10:135-144, 1984.

514

C. G. Langton. Studying artificial life with cellular automata.
Physica D, 22:120-149, 1986.
A preliminary investigation of
the potential of CA for supporting life.

515

C. G. Langton. Virtual state machines in cellular automata. Complex
Systems, 1:257-271, 1987.
Discussion of the importance of
propagating structures in CA. Contains example of a Turing machine implemented
on the model of protein synthesis using propagating structures.

516

C. G. Langton. Computation at the edge of chaos. Physica D, 42,
1990.

517

Christopher G. Langton. Artificial Life. Addison-Wesley, Redwood
City, CA, 1989.

518

Christopher G. Langton and et al. Artificial Life II.
Addison-Wesley, Reading, MA, 1990.

519

John W. Layman. Dynamics of multicellular automata with unbounded memory.
Complex Systems, 6(4):315-332, August 1992.

520

Fung F. Lee, Michael J. Flynn, and Martin Morf. A VLSI architecture for
the FCHC isometric lattice gas model. Technical Report CSL-TR-90-426, Stanford
University, April 1990. price ($5.24).

521

Fung F. Lee, Michael J. Flynn, and Martin Morf. A VLSI ARCHITECTURE FOR
THE FCHC ISOMETRIC LATTICE GAS MODEL. Technical Report STAN//CSL-TR-90-426,
Stanford University, Computer Systems Laboratory, April 1990. [Adminitrivia
V1/Prg/19941108].

522

Hyen Yeal Lee and Yasuo Kawahara. On dynamical behaviors of cellular
automata CA-60. Bulletin of informatics and cybernetics, 25(1 /
2):21, March 1992.

523

Y. C. Lee, S. Qian, R. D. Jones, C. W. Barnes, G. W. Flake, M. K.
O'Rourke, K. Lee, H. H. Chen, G. Z. Sun, Y. Q. Zhang, D. Chen, and G. L.
Giles. Adaptive stochastic cellular automata: applications. Physica,
D, 1990.

524

T. Legendi, D. Parkinson, R. Vollman, and G. Wolf, editors. Parallel
Processing by Cellular Automata and Arrays. North-Holland, 1986.

525

T. Legendi, D. Parkinson, R. Vollmar, and G. Wolf. Parallel Processing
by Cellular Automata and Arrays (Parcella '86, Berlin, GDR, September 9-11,
1986). North Holland, Amsterdam, 1986.

526

T. Legendi, D. Parkinson, R. Vollmar, and G. Wolf, editors. Parcella
'86, Proceedings of the Third International Workshop on Parallel Processing by
Cellular Automata and Arrays, Berlin, GDR, September 9-11, 1986.
Akademie-Verlag, Berlin.

527

Craig S Lent, Douglas Tougaw, and Wolfgang Porod. Bistable saturation in
coupled quantum dots for quantum cellular automata. Applied physics
Letters, 62(7):714, 1993.

528

Lenore Levine. Regular language invariance under one-dimensional cellular
automaton rules. Complex Systems, 6:163-178, 1992.

529

W. Li. Pretty pictures generated by two-state five-neighbor cellular
automata. Technical Report CCSR-88-15, Center for Complex Systems Research,
University of Illinois, Champaign, IL, 1988.

530

W. Li and N. H. Packard. unknown. Complex Systems, 4:281, 1990.

531

Wentian Li. Power spectra of regular languages and cellular automata.
Complex Systems, 1:107-130, 1987.

532

Wentian Li. Complex patterns generated by next nearest neighbors cellular
automata. Computers and Graphics, 13(4):531-537, 1989.

533

Wentian Li. On the relationship between complexity and entropy for markov
chains snd regular languages. Complex Systems, 5:381-399, 1991.

534

Wentian Li. Phenomenology of nonlocal cellular automata. Journal of
Statistical Physics, 68(5 / 6):829, September 1992.

535

Wentian Li and Mats Nordahl. Transient behavior of cellular automata rule
110. Physics Letters A, 166(5/6):335-339, 1992.

536

Wentian Li and Norman Packard. The structure of the elementary cellular
automata rule space. Complex Systems, 4(3):281-297, June 1990.

537

Wentian Li, Norman Packard, and Christopher G. Langton. Transition
phenomena in CA rule space. Physica D, 45:77, 1990.

538

Y.-L. Li and C.-W. Wu. Logic and fault simulation by cellular automata. In
J.-P. Tual, editor, Proceedings of the European Conference on Design
Automation, the European Test Conference, and the European Event in ASIC
Design, pages 552-556. IEEE Computer Society Press, feb 1994.

539

S Lin, I Kumazawa, and J Wu. Optical chip implementation of cellular
automata. Microwave and optical technology Letters, 5(10):493,
September 1992.

540

Senmao Lin and Ruitang Liu. An incoherent multiple-imaging system for
cellular automata. Journal of modern optics, 39(9):1863, September
1992.

541

D. A. Lind. Applications of ergodic theory and sofic systems to cellular
automata. Physica D, 10:36-44, 1984.

542

A. Lindenmayer and G. Rozenberg, editors. Automata, Languages,
Development. North-Holland, Amsterdam, 1976.

543

Lindgren. Errata and changes: ``correlations and random information in
cellular automata''. Complex Systems, 1, 1987.

544

Kristian Lindgren. Evolutionary phenomena in simple dynamics. In
Christopher G. Langton, Charles Taylor, J. Doyne Farmer, and Steen Rasmussen,
editors, Artificial Life II, volume 10 of Proceedings volume in
the Santa Fe Institute studies in the science of Complexity, pages
295-312, Redwood City, CA, 1992. Addison-Wesley.

545

Kristian Lindgren and Mats G. Nordahl. Universal computation in simple
one-dimensional cellular automata. Complex Systems, 4(3):299-318,
June 1990.

546

Kristian Lindren and Mats G. Nordahl. Complexity measures and cellular
automata. Complex Systems, 2(4):409-440, August 1988.

547

B Litow and Ph Dumas. Additive cellular automata and algebraic series.
Theoretical computer science, 119(2):345, 1993.

548

S. N. Coppersmith. P. B. Littlewood and P. Sibani. Cellular automata and
complex dynamics of driven elastic media. In Bailey, D. H, Bj{}rstad, P. E,
Gilbert, J. E, Mascagni, Michael V., Schreiber, R. S, Simon, H. D, Torczon, V.
J, Watson, and L. T, editors, Proceedings of the 27th Conference on
Parallel Processing for Scientific Computing, pages 187-192. SIAM Press,
1995.

549

G. G. Lorentz. Bernstein Polynomials, 1953.

550

Erik D. Lumer and Grégoire Nicolis. Synchronous versus asynchronous
dynamics in spatially distributed systems. Physica D, 71:440-452,
1994.

551

M. Mizumoto, J. Toyoda, and K. Tanaka. Some Considerations on Fuzzy
Automata. Journal of Computer and Systems Sciences, 3:409-422, 1969.

552

Antonio Machi and Filippo Mignosi. Garden of eden configurations for
cellular automata on cayley graphs of groups. SIAM journal on discrete
mathematics, 6(1):44, February 1993.

553

M Machtey and P. Young. An introduction to the general theory of
algorithms. Elsevier North Holland, 1978.

554

A. B. MacIsaac, D. L Hunter, and M. J. Corsten. Determinism and
thermodynamics: Ising cellular automata. Physical Review.A.,
43(6):3190, 1991.

555

B. F. Madore and W. L Freedman. Self-organizing structures. American
Scientist, 75:252-259, 1987.

556

Barry F. Madore and Wendy L. Freedman. Computer simulations of the
belousov-zhabotinsky reaction. Science, 222:615-616, 1983.

557

D. G. Maeder and M. Droz. 'cellular automata and monte-carlo simulation
for a mesoscopic model of martensitic transformations. Materials science
forum, 56 / 58:119, 1990.

558

Ch. Maes and S. B. Shlosman. Ergodicity of probabilistic cellular
automata: A constructive criterion. Communications in Mathematical
Physics, 135(2):233, 1991.

559

M. Mahajan and K. Krithivasan. Relativised cellular automata and
complexity classes. In S. Biswas and K. V. Nori, editors, Proceedings of
Foundations of Software Technology and Theoretical Computer Science,
pages 172-185. LNCS 560. Springer, December 1991.

560

M Mahajan and K Krithivasan. Some results on time varying and relativised
cellular automata. International Journal of computer mathematics,
43(1 / 2):21, 1992.

561

M. A Mainster. Cellular automata: Retinal cells, circulation and patterns.
Eye, 6 p 4:420, 1992.

562

D Makawiec. Chaos in networks of two-dimensional homogenous cellular
automata. Physica A, 172(3):291, April 1991.

563

Ranjit Makkuni. A pixelated design medium. In Tsiyasu L. Kunii, editor,
Advanced Computer Graphics (Proceedings of Computer Graphics Tokyo
'86), pages 180-202. Springer-Verlag, 1986.

564

Ranjit Makkuni. A pixelated design medium. In Tsiyasu L. Kunii, editor,
Advanced Computer Graphics (Proceedings of Computer Graphics Tokyo
'86), pages 180-202. Springer-Verlag, 1986.

565

Ranjit Makkuni. Pixelated structures as a compositional medium. The
Visual Computer, 2(4):243-254, August 1986.

566

D Makowiec. Remarks on the rule classification of symmetric
two-dimensional homogeneous cellular automata. Physica A, 176(3):430,
September 1991.

567

D Makowiec. The dynamics of homogeneous and symmetric cellular automata
via description of neighbourhood distribution. Journal of Physics A,
25(6):1441, 1992.

568

D Makowiec. Probabilistic approach to the dynamics of deterministic
homogeneous and symmetric two-dimensional cellular automata. Physica
A, 199(2):299, 1993.

569

Danuta Makowiec. The classification of homogenous and symmetric cellular
automata. Acta physica Polonica,Series B, 23(4):299, April 1992.

570

G. G Malinstskii and M. S Shakaeva. On cellular automata modelling
oscillatory chemical reactions on a surface. Soviet physics, Doklady,
37(8):401, August 1992.

571

V. A Malyshev. Large systems. Problems of information
transmission, 27(2):87, April 1991. Breakdown of Conservation Laws in
Stochastic Cellular Automata.

572

S. S. Manna and D. Stauffer. Systematics of transitions of square-lattice
cellular automata. Physica A., 162(2):176, 1990.

573

P. Manneville, N. Boccara, G. Vichniac, and R. Bidaux. Cellular
automata and the modeling of complex physical systems. Springer, Berlin,
1989.

574

Margolus and Toffoli. Cellular automata machines. Complex
Systems, 1, 1987.

575

N. Margolus. Physics-like models of computation. Physica D,
10:81-95, 1984.
Discussion of reversible cellular automata illustrated
by an implementation of Fredkin's Billiard-Ball model of computation.

576

N. Margolus, T. Toffoli, and G. Vichnise. Cellular automata supercomputers
for fluid dynamics modeling. Technical Report MIT/LCS/TM-296, MIT Laboratory
for Computer Science, December 1985. Price: $4.00.

577

N. H. Margolus. Physics And Computation. Ph.D. thesis, MIT
Laboratory for Computer Science, March 1988.

578

N. H. Margolus. Physics and computation. Technical Report MIT/LCS/TR-415,
MIT Laboratory for Computer Science, March 1988.

579

A. P Marriott, Ph Tsalides, and P. J Hicks. VLSI implementation of smart
imaging system using two-dimensional cellular automata. IEE
proceedings.G,Circuits, devices and syst, 138(5):582, October 1991.

580

B. Martin. A universal cellular automaton in quasi-linear time and its
S-m-n form. Theoretical Computer Science, (123):199-237, 1994.

581

O. Martin. Critical dynamics of 1-D irreversible systems. Physica
D, 45:345, 1990.

582

O. Martin, A. Odlyzko, and S. Wolfram. Algebraic properties of cellular
automata. Communications in Mathematical Physics, 93:219, 1984. An
early paper on algebraic properties of CA.

583

Maruoka and Kimura. Injectivity and surjectivity of parallel maps for
cellular automata. Journal of Computer and Systems Sciences, 18,
1979.

584

A. Maruoka and M. Kimura. Conditions for injectivity of global maps for
tessallation automata. Information and Control, 32:158-162, 1976.

585

Akira Maruoka and Masayuki Kimura. Injectivity and surjectivity of
parallel maps for cellular automata. Journal of Computer and System
Sciences, 18(1):47-64, February 1979.

586

William K Mason. Art form cellular automata and symmetrized dot-patterns.
Computers and Graphics, 16(4):439, 1992.

587

William K. Mason. Art from cellular automata and symmetrized dot-patterns.
Computers and Graphics, 16(4):439-442, 1992.

588

J. Mazoyer. A six-state minimal time solution to the firing squad
synchronization problem. Theoretical Computer Science, 50(2):183-240,
1987.

589

J Mazoyer and N Reimen. A linear speed-up theorem for cellular automata.
Theoretical computer science, 101(1):59, July 1992.

590

J. F McCarthy. Flow through arrays of cylinders: Lattice gas cellular
automata simulations. Physics of fluids, 6(2):435, February 1994.

591

J. F McCarthy. Lattice gas cellular automata method for flow in the
interdendritic region. Acta metallurgica et materialia, 42(5):1573,
May 1994.

592

W. S. McCulloch and W. Pitts. A logical calculus of the ideas immanent in
nervous activity. Bulletin of Mathematical Biophysics, 5:115-133,
1943.

593

Hugh McEvoy and Jaap A. Kaandorp. On modelling environmentally-sensitive
growth forms and cellular automata using multiset transformation. to appear in
Fractals, 1995.

594

H. V. McIntosh. Wolfram's class IV automata and a good life. Physica
D, 45:105, 1990.

595

Harold V. Mcintosh. Wolfram's class IV automata and a good life.
Physica D, 45:105-121, 1990.

596

Harold V. McIntosh. Linear cellular automata via de bruijn diagrams.
preprint, May 1991.

597

Harold V. McIntosh. Reversible cellular automata. preprint, January 1991.

598

W. Meier and O. Staffelbach. Analysis of pseudo random sequences generated
by cellular automata. Proceedings of Eurocrypt '91, pages 186-199,
1991.

599

W. Meier and O. Staffelbach. Analysis of pseudo random sequences generated
by cellular automata. In D. W. Davies, editor, Proceedings of Advances in
Cryptology (EUROCRYPT '91), pages 186-199. LNCS 547. Springer, April
1991.

600

C. Meinel and P. Zienicke. Recursive design of communication schemes for
parallel computation with R E L A C S. In G. Wolf, T. Legendi, and U.
Schendel, editors, Proceedings of the 4th International Workshop on
Parallel Processing by Cellular Automata and Arrays, pages 308-310. LNCS
342. Springer, October 1988.

601

Hans Meinhardt. The Algorithmic Beauty of Sea Shells. Springer
Verlag, 1995. ISBN 3-540-67842-0, ISBN 0-387-57842-0.

602

Mikulecky. On configurations in cellular automata. In Symposium on
Mathematical Foundations of Computer Science, 1974.

603

J. S. Miller. Molecular electronics? Advanced materials.,
2(12):601, 1990. Research News/Molecular Materials II Part C: In the final
part of this article, the potential contributions of magnetic and
superconducting components to the goal of molecular electronics are analyzed
as are alternative scenarios involving optically based computing, neural
networks and cellular automata. An assessment of future targets is given.

604

M. I. Miller, B. Roysam, K. R. Smith, and J. A. O'Sullivan. Representing
and computing regular languages on massively parallel networks. IEEE
Transactions on Neural Networks, 2(1):56-72, 1991.

605

G. Milne, P. Cockshott, G. McCaskill, and P. Barrie. Realising massively
concurrent systems on the SPACE machine. In D. A. Buell and K. L. Pocek,
editors, Proceedings of IEEE Workshop on FPGAs for Custom Computing
Machines, pages 26-32, Napa, CA, April 1993.

606

George Milne, Paul Cockshott, George McCaskill, and Peter Barrie.
Realising massively concurrent systems on the SPACE machine. Technical Report
HDV-29-93, Department of Computer Science, University of Strathclyde, 1993.

607

John Milnor. On the entropy geometry of cellular automata. Complex
Systems, 2(3):357-385, June 1988.

608

O Miramontes, R. V. Sole, and B. C Goodwin. Collective behaviour of
random-activated mobile cellular automata. Physica D, 63(1 / 2):145,
1993.

609

Eduardo Reck Miranda. Cellular automata music: An interdisciplinary
project. Interface, 22(1):3, 1993.

610

S. Misra, A. K. Das, and Dipanwita Roy Chowdhury. Cellular automata-theory
and applications. Journal of the Institution of Electronics and Te,
36(3 / 4):251, 1990.

611

M. Mitchell, J. P. Crutchfield, and P. T. Hraber. Evolving cellular
automata to perform computations. Physica D (submitted), 1993.
available from ftp.santafe.edu /pub/Users/mm/sfi-93-11-071.part1.ps.Z and
sfi-93-11-071.part2.ps.Z.

612

M. Mitchell, P. T. Hraber, and J. P. Crutchfield. Dynamic computation, and
the ``edge of chaos'': A re-examination. In G. Cowan, D. Pines, and D.
Melzner, editors, Integrative Themes, Santa Fe Institute Proceedings,
Volume 19, page (to appear), Reading, MA, 1993. Addison-Wesley. Santa Fe
Institute Working Paper 93-06-040.

613

M. Mitchell, P. T. Hraber, and J. P. Crutchfield. revisiting the egde of
chaos: Evolving cellular automata to perform computations. Complex
Systems, page (submitted), 1993. Santa Fe Institute Working Paper
93-03-014.

614

E. N. Miya. Multiprocessor - distributed processing bibliography. In
Proc. of the Entity-Relationship conference, North-Holland,
Karlsruhe, October 1992. Also published in/as: Computer Architecture
News, ACM SIG Architecture, Vol.13 No.1, Mar.1985, pp.27-29.

615

Mizuno. A neural network model for pattern recognition. In Proceedings
of the 3rd International Workshop on Parallel Processing by Cellular Automata
and Arrays. North-Holland/Akademie-Verlag, 1986.

616

R. Monaco. Discrete Kinetic Theory, Lattice Gas Dynamics and
Foundations of Hydrodynamics. World Scientific, 1989.

617

Cristopher Moore. Non-abelian cellular automata. Technical report, Santa
Fe Institute, 1996. ftp://ftp.santafe.edu/pub/moore/semi.ps.

618

Cristopher Moore. Quasi-linear cellular automata. Technical report, Santa
Fe Institute, 1996. ftp://ftp.santafe.edu/pub/moore/quasi.ps.

619

Cristopher Moore and Arthur A. Drisko. Algebraic properties of the block
transformation on cellular automata. Technical report, Santa Fe Institute,
1996. ftp://ftp.santafe.edu/pub/moore/block.ps.

620

E. F. Moore. Machine models of self-reproduction. In A. W. Burks, editor,
Essays on Cellular Automata, pages 187-203. University of Illinois
Press, 1970.
Moore's proof of the existence of ``Garden of Eden''
configurations in cellular automata: configurations which cannot occur under
the action of a specific CA rule. Moore also provides a way around Rosen's
paradox [].

621

Edward F. Moore. Gedanken experiments on sequential machines. In C. E.
Shannon and John McCarthy, editors, Automata Studies. Princeton
University Press, Princeton, New Jersey, 1956.

622

Edward F. Moore. Machine models of self reproduction. American
Mathematical Society, Proceedings of Symposia in Applied Mathematics,
14:17-33, 1962.

623

Edward F. Moore. The firing squad synchronization problem. In Edward F.
Moore, editor, Sequential Machines: Selected Papers, pages 213-214.
Addison-Wesley, Reading, Massachussetts, 1964.

624

F. R. Moore and G. G. Langdon. A generalized firing squad problem.
Information and Control, 12:212-220, 1968.

625

K. Morita. A simple construction method of a reversible finite automaton
out of fredkin gates, and its related model. Transactions of the
IEICE, E(6):978-984, June 1990.

626

K Morita. Computation-universality of one-dimensional one-way reversible
cellular automata. Information Processing Letters, 42(6):325, 1992.

627

K. Morita. Computation-universality of one-dimensional one-way reversible
cellular automata. Information Processing Letters, 42(6):325-??,
1992.

628

K. Morita and S. Ueno. Computation-universal models of two-dimensional
16-state reversible automata. IEICE Trans. Inf. and Syst.,
E75-D(1):141-147, January 1992.

629

K. Morita and S Ueno. Parallel generation and parsing of array languages
using reversible cellular automata. International Journal of pattern
recognition and, 8(2):543, April 1994.

630

Kenichi Morita. Reversible simulation of one-dimensional irreversible
cellular automata. Theoretical Computer Science, 148(1):157-163,
1995. Note.

631

Kenichi Morita and Satoshi Ueno. Computation-universal models of
two-dimensional 16-state reversible cellular automata. IEICE transactions
on information and systems, 75(1):141, January 1992.

632

Scott Morris. Games - the game of life. Omni, 7(1):188-189,
October 1984.

633

Z. G. Mou. CAL: A cellular automata language. In Bailey, D. H, Bj{}rstad,
P. E, Gilbert, J. E, Mascagni, Michael V., Schreiber, R. S, Simon, H. D,
Torczon, V. J, Watson, and L. T, editors, Proceedings of the 27th
Conference on Parallel Processing for Scientific Computing, pages
722-727. SIAM Press, 1995.

634

C. Moukarzel and N. Parga. On the evaluation of magnetisation fluctuations
with Q2R cellular automata. Journal of Physics A, 22(8):943, 1989.

635

Shahar Mozes. Tilings, substitution systems and dynamical systems
generated by them. Journal d'analyse mathématique, 53:139-186, 1988.

636

Stefan C. Muller, Theo Plesser, and Benno Hess. The structure of the core
of the spiral wave in the B-Z reaction. Science, 230:4726, November
1985.

637

Stefan C. Muller, Theo Plesser, and Benno Hess. Threedimensional
representation of chemical gradients. Biophysical Chemistry, February
1987.

638

James D. Murray. How the leopard gets its spots. Scientific
American, pages 62-69, March 1988.

639

A. Muscholl. On the complementation of Büchi asynchronous cellular
automata. In Proceedings of the 21st International Colloquium on Automata,
Languages and Programming (ICALP'94), Jerusalem (Israel) 1994, Lecture
Notes in Computer Science. Springer, 1994.

640

J. Myczkowski. Parallel programming for cellular automata. Technical
Report TR-16 CA89-3, Thinking Machines Corporation, 1989. (Appeared in
Cellular Automata and Modeling of Complex Physical Systems, P. Manneville, N.
Boccara, G. Y.Vichniac, and R. Bidaux, eds. Berlin: Springer-Verlag[1989]: pp.
118-129.).

641

Dale Myers. Nonrecursive tilings of the plane. II. The Journal of
Symbolic Logic, 39:286-294, 1974.

642

J. Myhill. The converse to Moore's garden-of-Eden theorem. Proceedings
of the American Mathematical Society, 14:685-686, 1963.

643

J. Myhill. The abstract theory of self-reproduction. In A. W. Burks,
editor, Essays on Cellular Automata, pages 206-218. University of
Illinois Press, 1970.
.

644

Toyoaki Naitoh, Matthieu H Ernst, and Martin A van der Hoef. Extended mode
coupling and simulations in cellular-automata fluids. Physical Review
A, 44(4):2484, 1991.

645

K. Nakamura. Asynchronous cellular automata and their computational
ability. Systems, Computer, Control, 5:58-66, 1974.

646

S Nandi, B Vamsi, and S Chakraborty. Cellular automata as a BIST structure
for testing CMOS circuits. IEE proceedings.e, computers and digital
tech, 141(1):41, January 1994.

647

G Narkounskaia and D. L Turcotte. A cellular-automata, slider-block model
for earthquakes-I demonstration of chaotic behaviour for a low-order system.
Geophysical journal international, 111(2):250, November 1992.

648

Masakazu Nasu. Local maps inducing surjective global maps of one
dimensional tesselation automata. Mathematical Systems Theory,
11:327-351, 1978.

649

Masakazu Nasu. Indecomposable local maps of tesselation automata.
Mathematical Systems Theory, 13:81-93, 1979.

650

Masakazu Nasu. An interconnection of local maps inducing onto global maps.
Discrete Applied Mathematics, 2:125-150, 1980.

651

Masakazu Nasu. Uniformly finite-to-one and onto extensions of
homomorphisms between strongly connected graphs. Discrete
Mathematics, 39:171-197, 1982.

652

Masakazu Nasu. Textile systems for endomorphisms and automorphisms of the
shift. Memoirs of A.M.S, 1996.

653

Basem A. Nayfeh. Cellular automata for solving mazes. Dr. Dobb's
Journal of Software Tools, 18(2):32-??, February 1993.

654

Mark D. Niemiec. Life algorithms. Byte, 4(1):90-97, 1979.

655

Masaya Nohmi. On a polynomial representation of finite linear cellular
automata. Bulletin of Informatics and Cybernetics, 24(3 / 4):137,
March 1991.

656

Mats G. Nordahl. Formal languages and finite cellular automata.
Complex Systems, 3:63-78, 1989.

657

Martin A. Nowak and Robert M. May. Evolutionary games and spatial chaos.
Nature, 359:826-829, 1992.

658

M. Oliphant. Evolving cooperation in the non-iterated prisoner's dilemma.
In R Brooks and P. Maes, editors, Artificial Life IV. MIT Press,
1994.

659

B. Ostrovsky, M.A. Smith, and Y. Bar-Yam. Applications of parallel
computing to biological problems. Ann. Rev. Biophys. Biomol. Struct.,
24:239-67, 1995. uses Margolus dynamics to conserve mass and implement
excluded volume, or a novel two-space algorithm to do the same, discusses
fine- vs. course-grain simulation issues.

660

B. J. Overeinder, P. M. A. Sloot, and L. O. Hertzberger. Time warp on a
transputer platform: Pilot study with asynchronous cellular automata. In M.
Valero, E. Onate, M. Jane, J. L. Larriba, and B. Suarez, editors, Parallel
Computing and Transputer Applications, pages 1303-1312, Amsterdam, 1992.
IOS Press.

661

Benno J. Overeinder and Peter M. A. Sloot. Application of time warp to
parallel simulations with asynchronous cellular automata. In A. Verbraeck and
E. J. H. Kerckhoffs, editors, European Simulation Symposium 1993,
pages 397-402, Delft, The Netherlands, October 1993. Society for Computer
Simulation International.

662

N. H. Packard. Adaptation toward the edge of chaos. In J. A. S. Kelso, A.
J. Mandell, and M. F. Shlesinger, editors, Dynamic patterns in complex
systems, pages 293-301. World Scientific, Singapore, 1988.

663

Norman H. Packard and Stephen Wolfram. Two-dimensional cellular automata.
Journal of Statistical Physics, 38:901-946, 1985.

664

K. Palagyi. Solution of dense systems of linear equations using cellular
processors. In G. Wolf, T. Legendi, and U. Schendel, editors, Proceedings
of the 4th International Workshop on Parallel Processing by Cellular Automata
and Arrays, pages 311-316. LNCS 342. Springer, October 1988.

665

R. Pandey. Cellular automata approach to interacting cellular network
models for the dynamics of cell population in an early HIV infection.
Physica A, 179:442-470, 1991.

666

R. B. Pandey and D. Stauffer. Metastability with probabilistic cellular
automata in an HIV infection. Journal of Statistical Physics, 61(1 /
2):235, 1990.

667

T. S. Papatheodorou, M. J. Ablowitz, and Y. G. Saridakis. A rule for fast
computation and analysis of soliton automata. Studies in Applied
Mathematics, 79:173-184, 1988.

668

T. S. Papatheodorou and .S. Fokas. Evolution theory, periodic particles
and solitons in cellular automata. Studies in Applied Math,
80:165-182, 1989.

669

T. S. Papatheodorou and N. B. Tsantanis. Fast soliton automata. In H.
Djidjev, editor, Optimal Algorithms, volume LNCS:401, pages 41-47.
Springer, Berlin, 1989.

670

Parcella '90 - Proceedings on the V. International Workshop on
Parallel Processing on Cellular Automata and Arrays, Berlin, September
17-21, volume 2. Akademie-Verlag, Berlin, 1990.

671

J. K. Park, K. Steiglitz, and W. P. Thurston. Soliton-like behavior in
automata. Physica D, 19:423-432, 1986.

672

M. Payer. Finite state machine theory as a tool for construction of
systolic arrays. In Pichler F. and Moreno-Diaz R., editors, Computer Aided
Systems Theory - Eurocast 89, volume LNCS:410, pages 212-224, Berlin,
1990. Springer-Verlag.

673

Pedersen. Decision problems for cellular automata and their semigroups. In
Symposium on Mathematical Foundations of Computer Science, 1992.

674

J. Pedersen. Decision problems for cellular automata and their semigroups.
In I. M. Havel and V. Koubek, editors, Proceedings of MFCS '92.
Mathematical Foundations of Computer Science (MFCS '92), pages 421-429.
LNCS 629. Springer, August 1992.

675

John Pedersen. Continuous transitions of cellular automata. Complex
Systems, 4(6):653-665, December 1990.

676

John Pedersen. Cellular automata as algebraic systems. Complex
Systems, 6(3):237-250, June 1992.

677

A Perera, K. A Penson, and U Schultze. Long-time dynamics of
two-dimensional fluid binary mixture in cellular automata models.
Helvetica Physica Acta, 65(2 / 3):501, 1992.

678

Asher Peres. Reversible logic and quantum computers. Physical Review
A, 32:3266-3276, 1985.

679

M. Perles, M. O. Rabin, , and E. Shamir. The theory of definite automata.
IEEE Transactions on Electronic Computers, EC-12:233-243, 1963.

680

Kenneth E. Perry. Abstract mathematical art. Byte, (13):181-192,
dec 1986.

681

N. Petkov. Bumming order statistics on a bit-level systolic array. In G.
Wolf, T. Legendi, and U. Schendel, editors, Proceedings of the 4th
International Workshop on Parallel Processing by Cellular Automata and
Arrays, pages 317-325. LNCS 342. Springer, October 1988.

682

Tsalides Ph., York T. A., and Thanailakis A. Pseudorandom number
generators for VLSI systems based on linear cellular automata. IEE
Proceedings-E, 138(4):241-249, July 1991. Besides random numbers
generation it contains a nice presentation of the rigorous methods of analysis
of CA time evolution. The transition matrices and semigroup structures for
global rules are used to describe state transition graphs of some CA.

683

L. B Di Pietro, A Melayah, and S Zaleski. Modeling water infiltration in
unsaturated porous media by interacting lattice gas-cellular automata.
Water resources research, 30(10):2785, October 1994.

684

G. Pighizzini. About asynchronous cellular automata. Technical Report
76/90, Dip. Scienze dell'Informazione, Università di Milano, 1990.

685

Nicholas Pippenger. Symmetry in self-correcting cellular automata.
Journal of Computer and Systems Sciences, 49(1):83, August 1994.

686

N. Pitsianis, Ph. Tsalides, G. L. Bleris, A. Thanailakis, and H. C. Card.
Deterministic one-dimensional cellular automata. Journal of Statistical
Physics, 56:99-112, 1989.

687

Tomaso Poggio and Federico Girosi. Continuous stochastic cellular automata
that have a stationary distribution and no detailed balance. Technical report,
Artificial Intelligence Laboratory, Massachusetts Institute of Technology
(MIT), Cambridge, Massachusetts, December 1990.

688

Y Pomeau. Periodic behavior of cellular automata. Journal of
Statistical Physics, 70(5 / 6):1379, March 1993.

689

T. Pöschel, W. Ebeling, and T. Boseniuk. Simulation of learning networks.
In G. Wolf, T. Legendi, and U. Schendel, editors, Proceedings of the 4th
International Workshop on Parallel Processing by Cellular Automata and
Arrays, pages 332-339. LNCS 342. Springer, October 1988.

690

William Poundstone. The Recursive Universe. William Morrow and
Company, New York, 1985. ISBN 0-688-03975-8.

691

The International Workshop on Parallel Processing by Cellular Automata
- Abstracts. Central Institute of Cybernetics and Informationprocesses of
Academy of Sciences of GDR, Research Group of Automata Theory of Hungarian
Academy of Sciences, 1982.

692

Carmen P. C Prado and Zeev Olami. Inertia and break of self-organized
criticality in sandpile cellular-automata models. Physical Review A,
45(2):665, 1992.

693

W. Pries, A. Thanailakis, and H. C. Card. Group properties of cellular
automata and VLSI applications. T- COMP, 35:1013-1024, 1986.

694

Priese. A note on asynchronous cellular automata. Journal of Computer
and Systems Sciences, 17, 1978.

695

G. Pritsch and J. Volkert. Multiprocessor systems for large numerical
applications. In G. Wolf, T. Legendi, and U. Schendel, editors,
Proceedings of the 4th International Workshop on Parallel Processing by
Cellular Automata and Arrays, pages 266-273. LNCS 342. Springer, October
1988.

696

M. A. Prunkin. Systolic array for eigenvalue of jacobi matrix. In G. Wolf,
T. Legendi, and U. Schendel, editors, Proceedings of the 4th International
Workshop on Parallel Processing by Cellular Automata and Arrays, pages
274-284. LNCS 342. Springer, October 1988.

697

S. Qian, Y. C. Lee, R. D. Jones, C. W. Barnes, G. W. Flake, M. K.
O'Rourke, K. Lee, H. H. Chen, G. Z. Sun, Y. Q. Zhang, D. Chen, and C. L.
Giles. Adaptive stochastic cellular automata: Theory. Phyisca D, 666,
1990.

698

Hameroff S. R., J. E. Dayhoff, R. Lahoz-Beltra, A. V. Samsonovich, and S.
Rasmussen. Conformational automata in the cytoskeleton. Computer,
25(11):30-40, 1992.

699

Raghu Raghavan. Cellular automata in pattern recognition. Information
sciences, 70(1 / 2):145, May 1993.

700

Anthony Ralston. De bruijn sequences-A model example of the interaction of
discrete mathematics and computer science. Mathematics Magazine,
55:131-143, 1982.

701

A Ramirez. Stochastic cellular automata with gibbsian invariant measures.
IEEE transactions on information theory, 37(3 p 1):541, May 1991.

702

S. Rasmussen and J.R. Smith. Lattice polymer automata. Ber. Bunsenges.
Phys. Chem., 98(9):1185-1193, 1994. extension of LGA that uses
particle-interactions to implement excluded volume and polymeric bonds. To
find, contact: VCH Verlagsgesellschaft mbH, D-69451 Weinheim Paper
0005-9021/94/0909-1185.

703

A. Norman Redlich. Supervised factorial learning. Neural
Computation, 6:750-766, 1994.

704

J. A. Reggia, H.-H. Chou, S. L. Armentrout, and Y. Peng. Minimizing
complexity in cellular automata models of self-replication. In L. Hunter, D.
Searls, and J. Shavlik, editors, Proceedings of the 1st International
Conference on Intelligent Systems for Molecular Biology, pages 337-344.
AAAI Press, July 1993.

705

James A. Reggia, Steven L. Armentrout, Hui-Hsien Chou, and Yun Peng.
Simple systems that exhibit self-directed replication. Science,
259:1282-1287, 1993.

706

Wolfgang Renz, Rudiger Westermann, and Wolfgang Kruger. Interactive
visualization of three-dimensional cellular automata. Computers in
Physics, 8(5):550, September 1994.

707

Craig Reynolds. Flocks, herds, and schools: A distributed behavioral
model. Proceedings of ACM Computer Graphics, 21(4):25-33, July 1987.

708

D. Richardson. Tesselations with local transformations. Journal of
Computer and Systems Sciences, 5:373-388, 1972.

709

D. Richardson. Tesselations with local transformations. Journal of
Computer and Systems Sciences, 6:373-388, 1972.

710

M. Rickert, K. Nagel, M. Schreckenberg, and A. Latour. Two lane traffic
simulations using cellular automats. to appear in: Physica A, 1995.

711

R. M. Robinson. Undecidability and nonperiodicity for tilings of the
plane. Inventiones Mathematicae, 12:177-209, 1971.

712

Robison. Fast computation of additive cellular automata. Complex
Systems, 1, 1987.

713

T Rogers and C Want. Emulation and subshifts of finite type in cellular
automata. Physica D, 70(4):396, 1994.

714

Z. Róka. One-way cellular automata on cayley graphs. In Z. Esik, editor,
Proceedings of Fundamentals of Computation Theory (FCT '93), pages
406-417. LNCS 710. Springer, August 1993.

715

Zs. Róka. One-way cellular automata on Cayley graphs (short version). In
FCT'93, Lecture Notes in Computer Science. Springer Verlag, August
1993.

716

Zs. Róka. One-way cellular automata on Cayley graphs. Theoretical
Computer Science, (to appear).

717

Zsuzsanna Róka. One-way cellular automata on Cayley graphs.
Theoretical Computer Science, 132(1-2):259-290, 1994.

718

C. Rose. Rapid optimal scheduling for time-multiplex switches using a
cellular automaton. IEEE trans. on commun., COM-37, 5:500-509, 1989.

719

D. Rothman and S. Zaleski. lga review (?). Reviews of Modern
Physics, 66:1417, 1994.

720

Renata B Rybka, Marek Cieplak, and U D'Ortona. Cellular-automata studies
of circular couette flows and choatic mixing. Physical Review E,
48(2):757, August 1993.

721

Muhammad Sahimi. Flow phenomena in rocks: From continuum models to
fractals percolation, cellular automata, and simulated annealing. Reviews
of modern physics, 65(4):1393, October 1993.

722

Eugene S. Santos. Maximin Automata. Information and Control,
13:363-377, 1968.

723

T Sato. Decidability for some problems of linear cellular automata over
finite commutative rings. Information processing Letters, 46(3):151,
1993.

724

Tadakazu Sato. Group structured linear cellular automata over zm.
Journal of Computer and Systems Sciences, 49(1):18, August 1994.

725

Tadakazu Sato and Namio Honda. Certain relations between properties of
maps of tesselation automata. Journal of System and Computer
Sciences, 15:121-145, 1977.

726

Kazuhiro Satoh. Computer experiment on the complex behavior of a
two-dimensional cellular automaton as a phenomenological mpdel for an
ecosystem. Journal of the Physical Society of Japan,
58(10):3842-3856, 1989.

727

Kazuhiro Satoh. Single and multiarmed spiral patterns in a cellular
automaton model for an ecosystem. Journal of the Physical Society of
Japan, 59(12):4204-4207, 1990.

728

U. Schendel. Parallel computation and supercomputers and applications. In
G. Wolf, T. Legendi, and U. Schendel, editors, Proceedings of the 4th
International Workshop on Parallel Processing by Cellular Automata and
Arrays, pages 157-176. LNCS 342. Springer, October 1988.

729

A. Schlijper. On some variational approximations in two-dimensional
classical lattice systems. PhD thesis, University of Groningen, The
Netherlands, 1985.

730

H. Schmeck and A. Dittrich. Given's rotation on an instruction systolic
array. In G. Wolf, T. Legendi, and U. Schendel, editors, Proceedings of
the 4th International Workshop on Parallel Processing by Cellular Automata and
Arrays, pages 340-346. LNCS 342. Springer, October 1988.

731

H. Schnelle. CONCURRENT PARSING IN programmable LOGIC ARRAY (PLA-) NETS -
PROBLEMS AND PROPOSALS. In 10th International Conference on Computational
Linguistics, 22nd Annual Meeting of the Association for Computational
Linguistics, Proceedings of Coling 84. Palo Alto, California, pages
150-153, Ruhr-Univ Bochum, Bochum, West Germany, 1984. Assoc for Computational
Linguistics, Menlo Park, CA, USA.

732

Robert H Schonmann. On the behavior of some cellular automata related to
bootstrap percolation. The Annals of probability, 20(1):174, January
1992.

733

Schrandt and Ulam. On recursively defined geometrical objects and patterns
of growth. In Essays on Cellular Automata, ed. Arthur W. Burks, University
of Illinois Press, Urbana, Chicago, London. 1970.

734

R. G. Schrandt and S. M. Ulam. On patterns of growth of figures in two
dimensions. Notices of the American Mathematical Society, 7:642ff,
1960.
Early studies of pattern development in cellular automata,
including competitions between two kinds of patterns. Reprinted in [118].

735

L. S. Schulman and P. E. Seiden. Statistical mechanics of a dynamical
system based on conway's game of life. Journal of Statistical
Physics, pages 293-314, 1978.

736

R. Serra and G. Zanarini. Complex Systems and cognitive
processes. Springer-Verlag, 1990. see Chapter 3.

737

Friedhelm Seutter. CEPROL: A cellular programming language. Parallel
Computing, 2(327-333):327-333, 1985.

738

Claude E. Shannon and John McCarthy. Annals of Mathematics Studies #34.
Princeton University Press, Princeton, 1956. ISBN 0-691-07916-1.

739

M. A Shereshevsky. Ergodic properties of certain surjective cellular
automata. Monatshefte fur Mathematik, 114(3 / 4):305, 1992.

740

M. A Shereshevsky. Lyapunov exponents for one-dimensional cellular
automata. Journal of nonlinear science, 2(1):1, 1992.

741

Bhavin Sheth, Prantik Nag, and Robert W. Hellwarth. Binary addition on
cellular automata. Complex Systems, 5(5):479-486, October 1991.

742

Bhavin Sheth, Prantik Nag, and Robert W. Hellwarth. Driver mechanisms on
cellular automata. Complex Systems, 5(5):487-496, October 1991.

743

M. Shirvani and T. D Rogers. On ergodic one-dimensional cellular automata.
Communications in Mathematical Physics, 136(3):599, 1991.

744

H. Sieburg, X. McCutchan, X. Clay, X. Cabalerro, and X. Ostlund.
Simulation of HIV infection in artificial immune systems. Physica D,
45:208-227, 1990.

745

Hans B. Sieburg and Oliver K. Clay. Cellular automata as algebraic
systems. Complex Systems, 5(6):575-602, December 1991.

746

Hans B. Sieburg and Oliver K. Clay. The cellular device machine
development system for modeling biology. Complex Systems, pages
575-601, 1991.

747

Margaret L. Silbar. Computational tool or curiosity? Mosaic,
19(2):44.

748

L. R. Da Silva, A. Hansen, and S. Roux. Spreading of damage in
deterministic cellular automata as a percolation problem. Europhysics
Letters, 8(1):47, 1989.

749

Jonathan Silvertown, Senino Holtier, Jeff Johnson, and Pam Dale. Cellular
automaton models of interspecific competition for space-the effect of pattern
on process. Journal of Ecology, 80:527-534, 1992.

750

N. R. S Simons, G. E Bridges, and A. R Sebak. Cellular automata as an
environment for simulating electromagnetic phenomena. IEEE microwave and
guided wave Letters, 4(7):247, July 1994.

751

M. Sipper. Non-uniform cellular automata: Evolution in rule space and
formation of complex structures. In Brooks, R. A, Maes, and Pattie, editors,
Proceedings of the 4th International Workshop on the Synthesis and
Simulation of Living Systems , pages 394-399.
MIT Press, July 1994.

752

M. Sipper. Quasi-uniform computation-universal cellular automata. In
ECAL95: 3rd European Conference on Artificial Life, Granada, Spain,
June 1995. Springer-Verlag.

753

M. Sipper. Studying artificial life using a simple, general cellular
model. Artificial Life Journal, 2(1), 1995. The MIT Press, Cambridge,
MA.

754

P. Siwak. Particles of parity rule recursive filtering constructed by
means of particle edge automata. Technical report, unknown, 1992. typescript.

755

P. Siwak. Introduction to filter automata theory. Studia z
Automatyki, T.XVIII:87-110, 1993.

756

M. M. Skolnick, S. Kim, and R. O'Bara. Morphological algorithms for
computing non-planar point neighborhoods on cellular automata. pages 106-111,
1988.

757

Sven Skyum. Confusion in the garden of eden. Proceedings of the
American Mathematical Society, 50:332-336, 1975.

758

Smith. Cellular automata and formal languages. In IEEE Symposium on
Foundations of Computer Science (FOCS), 1970.

759

Smith. Cellular automata complexity trade-offs. Information and
Computation (formerly Information and Control), 18, 1971.

760

Smith. Real-time language recognition by one-dimensional cellular
automata. Journal of Computer and Systems Sciences, 1972.

761

III A. R. Smith. Cellular automata and formal languages. In Proc. 11th
IEEE Symposium on Foundations of Computer Science (FOCS), pages 216-224,
1970.

762

III A. R. Smith. Two-dimensional formal languages and pattern recognition
by cellular automata. In Proc. 12th IEEE Symposium on Foundations of
Computer Science (FOCS), pages 144-152, 1971.

763

M. A. Smith. Technical Report MIT/LCS/TR-615, MIT Laboratory for Computer
Science.

764

M. A. Smith. Representations of geometrical and topological quantities in
CA. Physica D, 45:271, 1990.

765

A. R. Smith III. Simple computation-universal cellular spaces.
JACM, 18(3):339-353, 1971.
Proof that 1D cellular automata are
capable of supporting universal computation.

766

Alvy Ray Smith III. Cellular automata complexity trade-offs.
Information and Control, 18(5):466-482, June 1971.

767

R. Sole, D. Lopez, M. Ginovart, and J. Valls. Self-organized criticality
in monte carlo simulated ecosystems. Physics Letters A, 172:56, 1992.

768

J. A Somers. Direct simulation of fluid flow with cellular automata and
the lattice-boltzmann equation. Applied scientific research, 51(1 /
2):127, June 1993.

769

J. A. Somers and P. C. Rem. A parallel cellular automata implementation on
a transputer network for the simulation of small scale fluid flow experiments.
In G. A. van Zee and J. G. G. van de Vorst, editors, Proceedings of the
Shell Conference on Parallel Computing, pages 116-126. LNCS 384.
Springer, June 1988.

770

Sommerhaider and van Westrhenen. Parallel language recognition in constant
time by cellular automata. Acta Informatica, 19, 1983.

771

R. Sosic and Robert R. Johnson. Computational properties of
self-reproducing growing automata. BioSystems, to appear, 1996. The
paper is available from: http://www.cit.gu.edu.au/ sosic/living.html
ftp://ftp.cit.gu.edu.au/pub/R.Sosic/biosystems95.ps.Z.

772

G. Spezzano and D. Talia. CARPET: A programming language for parallel
cellular processing. In Proceedings 2nd Europ. School on PPE for HPC,
pages 71-74, Aprile 1996.

773

A. Spik and D. W. Robinson. Investigation of the cellular automata method
for phase unwrapping and its implementation of an array processor. Optics
and lasers in engineering, 14(1):25, 1991.

774

P. S. Spirakis. Past parallel algorithms and the complexity of
parallelism. In G. Wolf, T. Legendi, and U. Schendel, editors, Proceedings
of the 4th International Workshop on Parallel Processing by Cellular Automata
and Arrays, pages 177-190. LNCS 342. Springer, October 1988.

775

Richard K. Squier. Efficient, scalable architectures for lattice-gas
computations. Thesis TR-304-91, Department of Computer Science, Princeton
University, June 1991.

776

Richard K. Squier and Ken Steiglitz. Programmable parallel arithmetic in
cellular automata using a particle model. Technical Report TR-478-94,
Department of Computer Science, Princeton University, December 1994.

777

B Srisuchinwong, Ph Tsalides, and T. A York. VLSI implementation of mod-p
multiplier using homomorphisms and hybird cellular automata. IEE
proceedings.E,Computers and digital tech, 139(6):486, November 1992.

778

D. Stauffer. Classification of square-lattice cellular automata with
respect to total magnetization. Journal of Physics A, 23(24):5933,
1990.

779

D. Stauffer. Computer simulation of cellular automata. J. Phys. A:
Math. Gen., 24:909-927, 1991.

780

D. Stauffer and R. Pandey. Immunologically motivated simulation of
cellular automata. Computers in Physics, 6:4:404-410, 1992.

781

D. Stauffer and G. Weisbuch. High-dimensional simulation of the
shape-space model for the immune system. Physica A, 180: 1-2:42-52,
1992.

782

Tim Stefanini. The genetic coding of behavioral attributes in cellular
automata. In John R. Koza, editor, Artificial Life at Stanford 1994,
pages 172-180. Stanford Bookstore, Stanford, California, 94305-3079 USA, June
1994.

783

K. Steiglitz, I. Kamal, and A. Watson. Embedding computation in
one-dimensional automata by phase coding solitons. IEEE Transactions on
Computers, C-37:2:138-145, 1988.

784

Stein and Ulam. Nonlinear transformation studies on electronic computers.
In Essays on Cellular Automata, ed. Arthur W. Burks, University of
Illinois Press, Urbana, Chicago, London. 1970.

785

John G Stevens, Ronald E Rosensweig, and A. E Cerkanowicz. Transient and
cyclic behavior of cellular automata with null boundary conditions.
Journal of Statistical Physics, 73(1 / 2):159, October 1993.

786

P. N Stiles and I. S Glickstein. Highly parallelizable route planner based
on cellular automata algorithms. Ibm journal of research and
development, 38(2):167, March 1994.

787

K. Sugihara, A. Okabe, and B. Boots. Spatial Tessellations: Concepts
and Applications of Voronoi Diagrams. Wiley, 1992.

788

N Sukumar, B. M Deb, and H Singh. Electron charge and current densities,
the geometric phase and cellular automata. Zeitschrift fur
Naturforschung.A,, 48(1 / 2):134, January 1993.

789

Sutner. The computational complexity of cellular automata.
Fundamentals (or Foundations) of Computation Theory, 7, 1989.

790

Sutner. The sigma-game and cellular automata. The American
Mathematical Monthly, 97, 1990.

791

K. Sutner. The computational complexity of cellular automata. In J.
Csirik, J. Demetrovics, and F. Gécseg, editors, Proceedings of the
International Conference on Fundamentals of Computation Theory, pages
451-459. LNCS 380. Springer, August 1989.

792

K. Sutner. Linear cellular automata and the garden-of-eden. The
mathematical intelligencer., 11(2):49, 1989.

793

K. Sutner. Classifying circular CA. Physica D, 45:386, 1990.

794

Klaus Sutner. De bruijin graphs and linear cellular automata. Complex
Systems, 5(1):19-30, February 1991.

795

Klaus SUTNER. Linear Cellular Automata and their Fischer Automata.
Technical Report 93-46, RISC-Linz, Johannes Kepler University, Linz, Austria,
1993.

796

K. Svozil. Constructive chaos by CA and possible sources of an arrow of
time. Physica D, 45:420, 1990.

797

Michael Swaine. Programming paradigms. Dr. dobb's journal,
18(12):107, November 1993.

798

Byorgy Szabo and Istvan Borsos. Evolution and extinction of families in
cellular automata. Physical Review E, 49(6B):5900, June 1994.

799

B Tadic. Dynamics of frustrated cellular automata. Journal of
non-crystalline solids, 172 / 174:501, September 1994.

800

D. Takahashi and J. Matsukidaira. On discrete soliton equations related to
cellular automata. Physics Letters A, 209:184-188, 1995.

801

H. Takahashi. The maximum invariant set of an automaton system.
Information and Control, 32:307-354, 1976.

802

S. Takahashi. CA and multifractals:dimension spectra of linear CA.
Physica D, 45:36, 1990.

803

Satoshi Takahashi. Self-similarity of linear cellular automata.
Journal of Computer and Systems Sciences, 44(1):114, February 1992.

804

S. Takesue. Relaxation properties of elementary reversible CA. Physica
D, 45:278, 1990.

805

Shinji Takesue. Reversible cellular automata and statistical mechanics.
Physical Review Letters, 59:2499-2502, 1987.

806

Shinji Takesue. Ergodic properties and thermodynamics behavior of
elementary reversible cellular automata. I. basic properties. Journal of
Statistical Physics, 56(3):371, 1989.

807

P. Tamayo and H. Hartman. Cellular automata, reaction-diffusion systems,
and the origin of life. In C. G. Langton, editor, Proceedings of the
Interdisciplinary Workshop on the Synthesis and Simulation of Living Systems
(ALIFE '87), pages 105-124. Santa Fe Institute Studies in the Sciences of
Complexity 6. Addison-Wesley, September 1987.

808

S. S Tambe, V. K Jayaraman, and B. D Kulkarni. Cellular automata modelling
of a surface catalytic reaction with eley-rideal step: the case of CO
oxidation. Chemical physics Letters, 225(4 / 6):303, 1994.

809

R. L. Buvel T.E. Ingerson. Structure in asynchronous cellular automata.
Physica D, 1:59-68, 1984.

810

T. Tensi. Worst case analysis for reducing algorithms on instruction
systolic arrays with simple instruction sets. In G. Wolf, T. Legendi, and U.
Schendel, editors, Proceedings of the 4th International Workshop on
Parallel Processing by Cellular Automata and Arrays, pages 347-352. LNCS
342. Springer, October 1988.

811

Véronique Terrier. Language not recognizable in real time by one-way
cellular automata. Theoretical Computer Science, 156(1-2):281-287,
1996.

812

Worsch Th. Komplexitatstheoretische untersuchungen an myopischen
polyautomaten. Technical report, TU Braunschweig, 1991. Dissertation.

813

D. Thalmann. A ``lifegame'' approach to surface modelling and rendering.
The Visual Computer, 2(6):384-390, December 1986.

814

O Than and S Buttgenbach. Simulation of anisotropic chemical etching of
crystalline silicon using a cellular automata model. Sensors and
actuators. part a, 45(1):85, October 1994.

815

J. Thatcher. Self-describing turing machines and self-reproducing cellular
automata. In A. W. Burks, editor, Essays on Cellular Automata, pages
103-131. University of Illinois Press, 1970.
.

816

J. Thatcher. Universality in the von Neumann cellular model. In A. W.
Burks, editor, Essays on Cellular Automata, pages 132-186. University
of Illinois Press, 1970.
.

817

T. Toffoli. Cellular Automata Mechanics. PhD thesis, The
University of Michigan, 1977.
Toffoli's demonstration of reversible
universal computation.

818

T. Toffoli. Cellular automata mechanics. Technical Report 208, Logic of
Computers Group, CCS Dept., The University of Michigan, November 1977.

819

T. Toffoli. Cellular automata as an alternative to (rather than an
approximation of) differential equations in modeling physics. Physica
D, 10, 1984.
An insightful discussion of the reasons for and
against modeling physical systems with differential equations.

820

T. Toffoli and N. Margolus. Cellular Automata Machines - a New
Environment for Modeling. MIT Press, Cambridge, MA, 1986.

821

T. Toffoli and N. Margolus. Invertible cellular automata: a review.
Physica, D 45:229-253, 1990.

822

Tommaso Toffoli. Computation and construction universality of reversible
cellular automata. Journal of Computer and Systems Sciences,
15:213-231, 1977.

823

Tommaso Toffoli and Norman Margolus. Cellular Automata Machines.
MIT Press, London, 1987.

824

Y. S Toh, M. J Nobes, and G Carter. A cellular automata simulation study
of surface roughening resulting from multi-atom etch pit generation during
sputtering. Nuclear instruments and methods in physics researc, 67(1
/ 4):586, April 1992.

825

M. Tomassini. The parallel genetic cellular automata: Application to
global function optimization. In C. R. N. Steele R. F. Albrecht, editor,
Proceedings of the International Conference on Artificial Neural Nets and
Genetic Algorithms, pages 385-391. Springer, February 1993.

826

Toom. Monotonic binary cellular automata. Problems of Information
Transmission (translated from Problemy Peredachi Informatsii (Russian)),
12, 1976.

827

N. Toth. Self-checking processing elements in cellular arrays. In G. Wolf,
T. Legendi, and U. Schendel, editors, Proceedings of the 4th International
Workshop on Parallel Processing by Cellular Automata and Arrays, pages
353-359. LNCS 342. Springer, October 1988.

828

P. Douglas Tougaw and Craig S Lent. Logical devices implemented using
quantum cellular automata. Journal of applied physics, 75(3):1818,
February 1994.

829

R. Trobec. Cellular diagnostic in parallel systems. In G. Wolf, T.
Legendi, and U. Schendel, editors, Proceedings of the 4th International
Workshop on Parallel Processing by Cellular Automata and Arrays, pages
360-365. LNCS 342. Springer, October 1988.

830

Ph. Tsalides. Cellular automata-based built-in self-test structures for
VLSI systems. Electronics Letters, 26(17):1350, 1990.

831

C. J. Twining. The limiting behavior of non-cylindrical elementary
cellular automata. Complex Systems, 6(5):417-431, October 1992.

832

C. J. Twining and P. M. Binder. Enumeration of limit cycles in
noncylindrical cellular automata. Journal of Statistical Physics,
66:385-401, 1992.

833

P Tzionas, Ph Tsalides, and A Thanailakis. Cellular automata based minimum
cost path estimation on binary maps. Electronics Letters,
28(17):1653, 1992.

834

P Tzionas, Ph Tsalides, and A Thanailakis. Design and VLSI implementation
of a pattern classifier using a pseudo 2D cellular automata. IEE
proceedings.G,Circuits, devices and syst, 139(6):661, December 1992.

835

P Tzionas, P Tsalidis, and A Thanailakis. Three-dimensional minimum-cost
path planning using cellular automata architectures. Mobile robots,
7:297, 1992.

836

D. Uhlig. Beliable networks for boolean functions with small complexity.
In G. Wolf, T. Legendi, and U. Schendel, editors, Proceedings of the 4th
International Workshop on Parallel Processing by Cellular Automata and
Arrays, pages 366-371. LNCS 342. Springer, October 1988.

837

L. Uhr. Process-structured architectures to transform information flowing
through. In G. Wolf, T. Legendi, and U. Schendel, editors, Proceedings of
the 4th International Workshop on Parallel Processing by Cellular Automata and
Arrays, pages 191-204. LNCS 342. Springer, October 1988.

838

S. M. Ulam. On some mathematical problems connected with patterns of
growth of figures. Proceedings of Symposia in Applied Mathematics,
14:215-224, 1962.
An early study on pattern development in cellular
automata by the man who suggested CA's to von Neumann. Reprinted in [].

839

Umeo, Morita, and Sugata. Deterministic one-way simulation of two-way
real-time cellular automata and its related problems. Information
Processing Letters, 14, 1982.

840

unknown, editor. Physics of Computation and Computational models of
Physics, volume 21:3-4, 6-7, and 12, 1982.

841

unknown. Chris langton's cellular automaton (?). Mathematical
Intelligencer, 15(2):54, 1993.

842

J Urias. Arithmetic representations of cellular automata. Physica
D, 68(3 / 4):437, 1993.

843

Terrier V. Real time recognition with cellular automata a meaningful
example. Technical report, ENS Lyon, 1987. Rapport LIP-R-90-17.

844

Plamen PETROV <[email-masked]>. Non-replicative fredkin's
rules in homogeneous cellular spaces. Technical report, Faculty of Mathematics
and Informatics, Sofia University, 1996. see
http:highz.as.arizona.eduvdivanovPlamen, mostly in Bulgarian.

845

M. A. van der Hoef and D. Frenkel. Long-time tails of the velocity
autocorrrelation function in two- and three-dimensional lattice-gas cellular
automata: A test of mode-coupling theory. Physical Review A,
41(8):4277, 1990.

846

J van Sas, F Catthoor, and H De Man. Cellular automata based deterministic
self-test strategies for programmable data paths. IEEE Transactions on
Computer-aided design, 13(7):940, July 1994.

847

G. Vichniac. Simulating physics with cellular automata. Physica
D, 10:96-116, 1984.

848

G. Vichniac. Boolean derivatives on CA. Physica D, 45:63, 1990.

849

G. Vichniac, P. Tamayo, and H. Hartman. Annealed and quenched
inhomogeneous cellular automata. Journal of Statistical Physics, 45,
1986.

850

J. D. Victor. What can automaton theory tell us about the brain?
Physica D, 45:205, 1990.

851

Paul Vitanyi. Physics and the new computation. In J.Wiedermann and
P.Hajek, editors, MFCS'95, LNCS 969, pages 106-128. Springer, Berlin,
1995.

852

P. M. B. Vitayni. Sexually reproducing cellular automata. Math.
Biosci., 18:23-54, 1973.
.

853

R. Vollmar. Basic research for cellular processing. In G. Wolf, T.
Legendi, and U. Schendel, editors, Proceedings of the 4th International
Workshop on Parallel Processing by Cellular Automata and Arrays, pages
205-222. LNCS 342. Springer, October 1988.

854

R. Vollmar and B. G. Teubner. Algorithmen in Zellularautomaten.
Stuttgart, 1979.

855

B. Voorhees. Nearest neighbor CA over with
periodic boundary conditions. Physica D, 45:26, 1990.

856

B Voorhees. Predecessors of cellular automata states. I. additive
automata. Physica D, 68(2):283, October 1993.

857

B Voorhees. Predecessors of cellular automata states.II.pre-images of
finite sequences. Physica D, 73(1 / 2):136, 1994.

858

B Voorhees and S Bradshaw. Predecessors of cellular automata
states.III.garden of eden classification of cellular automata. Physica
D, 73(1 / 2):152, 1994.

859

Burton Voorhees. Division algorithm sic for cellular automata rules.
Complex Systems, 4(6):587-597, December 1990.

860

Burton Voorhees. Geometry and arithmetic of a simple cellular automaton.
Complex Systems, 5(2):169-182, April 1991.

861

Burton Voorhees. Determination of fixed points and shift cycles for
nearest neighbor cellular automata. Journal of Statistical Physics,
66(5 / 6):1397, March 1992.

862

Burton H. Voorhees. Computational Analysis of One-Dimensional Cellular
Automata. World Scientific, 1996.

863

Ken-nosuke Wada, Yoshiko Wada, Hirofumi Doi, Shin-ichi Tanaka, and Mitsuri
Furusawa. Evolutionary systems: Structures and functions. In Proceedings
of IEEE International Conference on Evolutionary Computation (ICEC-94), World
Congress on Computational Intelligence, pages 796-801, Orlando, Florida,
USA, jun 1994. IEEE Computer Society Press, New York.

864

L. Wagner. Dependence of drag on a galilean invariance-breaking parameter
in lattice-boltzmann flow simulations. Physical Review E, 49:2115,
1994.

865

P. Wagner. Traffic simulations using cellular automata: comparison with
reality. Traffic and Granular Flow, Conference Proceedings, 1995.

866

Robert T. Wainwright. self, 1973. a quarterly newsletter with 11 issues
published between March 1971 and September 1973.

867

Abraham. Waksman. An optimum solution to the firing squad synchronization
problem. Information and Control, 9:66-78, 1966.

868

C. C. Walker. Attractor dominance patterns in sparsely connected boolean
nets. Physica D, 45:441-451, 1990.

869

Hao Wang. Notes on a class of tiling problems. Fundamenta
Mathemastecae, 82, 1975.

870

John Watrous. On one-dimensional quantum cellular automata. In 36th
Annual Symposium on Foundations of Computer Science, pages 528-537,
Milwaukee, Wisconsin, 1995. IEEE.

871

W. G. Wee and K. S. Fu. A Formulation of Fuzzy Automata and its
Application as Model of Learning Systems. IEEE Transactions on Systems,
Man, Cybernetics, 5:215-223, 1969.

872

Jörg R. Weimar. Spontaneous nucleation in a reactive lattice gas
automaton. In Stefan Müller and Theo Plesser, editors, Spatio-temporal
organization in nonequilibrium systems, pages 266-269, Dortmund, Germany,
1992. Projekt Verlag.

873

Jorg R Weimar and Jean-Pierre Boon. Class of cellular automata for
reaction-diffusion systems. Physical Review E, 49(2):1749, February
1994.

874

Jörg R. Weimar and Jean-Pierre Boon. A new class of cellular automata for
reaction-diffusion systems. Physical Review E, to appear, 1994.

875

Jörg R. Weimar and Jean-Pierre Boon. New class of cellular automata for
reaction-diffusion systems applied to the CIMA reaction. In A. Lawniczak and
R. Kapral, editors, Lattice Gas Automata and Pattern Formation,
Waterloo, Ont, Canada, 1994. Fields Institute.

876

Jörg R. Weimar, David Dab, Jean-Pierre Boon, and Sauro Succi. Fluctuation
correlations in reaction-diffusion systems: Reactive lattice gas automata
approach. Europhysics Letters, 20(7):627-632, 1992.

877

Jörg R. Weimar, John J. Tyson, and Layne T. Watson. Diffusion and wave
propagation in cellular automaton models of excitable media. Physica
D, 55:309-327, 1992.

878

Jörg R. Weimar, John J. Tyson, and Layne T. Watson. Third generation
cellular automaton for modeling excitable media. Physica D,
55:328-339, 1992.

879

Gérard Weisbuch, Howard Gutowitz, and Guillemette Duchateau-Nguyen.
Information contagion and the economics of pollution. Journal of Economic
Behavior and Organization, in press, 1996.

880

Benjamin Weiss. Subshifts of finite type and sofic systems.
Monatshefte fuer Mathematik, 77:462-474, 1973.

881

R. White and G. Engelen. Urban system dynamics and cellular automata:
Fractal structures between order and chaos. unknown, 1900.

882

R White and G Engelen. Cellular automata and fractal urban form: a
cellular modelling approach to the evolution of urban land-use patterns.
Environment and planning, 25(8):1175, August 1993.

883

R. White, G. Engelen, and I. Uljee. Cellular automata modelling of fractal
urban land use patterns: Forcasting change for planning applications.
unknown, 1900.

884

J. Wiedermann. Weak parallel machines: a new class of physically feasible
parallel machine models. In I. M. Havel and V. Koubek, editors,
Proceedings of the 17th International Symposium Mathematical Foundations
of Computer Science, pages 95-111. Springer-Verlag, 1992. LNCS 629.

885

Norbert Wiener. Cybernetics. John Wiley and Company, New York,
1948.

886

W. John Wilbur, David J. Lipman, and Shihab A. Shamma. On the prediction
of local patterns in cellular automata. Physica D, 19:397-410, 1986.

887

W. Wilhelmi. Parallel algorithms in image processing. In G. Wolf, T.
Legendi, and U. Schendel, editors, Proceedings of the 4th International
Workshop on Parallel Processing by Cellular Automata and Arrays, pages
223-240. LNCS 342. Springer, October 1988.

888

Kelly P. Williams. Simplifications of a self-replication model.
Science, 261:925-925, 1993.

889

R. F. Williams. Classification of subshifts of finite type. Annals of
Mathematics, 98:120-153, 1973.

890

Willson. Growth patterns of ordered cellular automata. Journal of
Computer and Systems Sciences, 22, 1981.

891

Willson. Calculating growth rates and moments for additive cellular
automata. Discrete Applied Mathematics and Combinatorial Operations
Research and Computer Science, 35, 1992.

892

Stephen J. Willson. Growth rates and fractional dimensions in cellular
automata. Physica D, 10:69-74, 1984.

893

Greg Wilson. The life and times of cellular automata. New
Scientist, pages 44-47, October 1988.

894

A. T. Winfree, E. M. Winfree, and H. Seifert. Organizing centers in a
cellular excitable medium. Physica D, 17:109-115, 1985.

895

Arthur T. Winfree. Rotating chemical reactions. Scientific
American, pages 82-95, June 1974.

896

G. Wolf, T. Legendi, and U. Schendel, editors. Parcella '88,
Proceedings of the Fourth International Workshop on Parallel Processing by
Cellular Automata and Arrays, Berlin, GDR, October 17-21, 1988.
Akademie-Verlag, Berlin.

897

G. Wolf, T. Legendi, and U. Schendel, editors. Proceedings of the 4th
International Workshop on Parallel Processing by Cellular Automata and
Arrays. LNCS 342. Springer, October 1988.

898

S. Wolfram. Statistical mechanics of cellular automata. Reviews of
Modern Physics, 55:601-644, 1983.
Important paper largely
responsible for the resurgence of interest in cellular automata.

899

S. Wolfram. Cellular automata as models of complexity. Nature,
311(4):419-424, 1984.
A well written account of the manner in which
complex dynamics can emerge from simple components.

900

S. Wolfram. Universality and complexity in cellular automata. Physica
D, 10:1-35, 1984.
Identifies four qualitative classes of CA
dynamics.

901

S. Wolfram, editor. Theory and Applications of Cellular Automata.
World Scientific, Singapore, 1986.
Collection of papers on CA's.
Contains an extensive bibliography.

902

Stephan Wolfram. Random sequence generation by cellular automata. Adv.
Appl. Math, 7:123, 1984.

903

Stephan Wolfram. Cryptography with cellular automata. Proceedings of
Crypto '85, pages 429-432, 1985.

904

Stephan Wolfram. undecidability and intractability in physics.
Physical Review Letters, 54:735, 1985.

905

Stephan Wolfram. Cellular Automata and Complexity: Collected
Papers. Addison-Wesley, 1994. revision of [901]
Paperback: ISBN 0-201-62664-0, Hardcover: ISBN 0-201-62716-7.

906

Stephen Wolfram. Computation theory of cellular automata.
Communications in Mathematical Physics, 96:15-57, 1984.

907

Stephen Wolfram. Cellular Automata and Complexity.
Addison-Wesley, 1994.

908

W. W. Wootters and C. G. Langton. Is there a sharp phase transition for
deterministic CA? Physica D, 45:95, 1990.

909

Th. Worsch. Reducing parallelism in cellular automata. In
[submitted].

910

Lawrence E. Wright. Cellular Automata with Non-Working Cells. PhD
thesis, Ann Arbor, 1976.

911

Andrew Wuensche. The ghost in the machine:basins of attraction of random
boolean networks. Cognitive Science Research Paper 281, University of
Sussex, 1993, 1993. to be published in Artificial Life III, Santa Fe
Institute Studies in the Sciences of Complexity.

912

Andrew Wuensche and Mike Lesser. The Global Dynamics of Cellular
Automata, volume Reference Vol 1 of Santa Fe Institute Studies in the
Sciences of Complexity. Addison-Wesley, 1992. IBSN 0-201-55740-1.

913

Yaku. Surjectivity of nondeterministic parallel maps induced by
nondeterministic cellular automata. Journal of Computer and Systems
Sciences, 12, 1976.

914

Takeo Yaku. The constructibility of a configuration in a cellular
automaton. Journal of Computer and Systems Sciences, 7:481-496, 1973.

915

Takeo Yaku. Inverse and injectivity of parallel relations induced by
cellular automata. Proceedings of the American Mathematical Society,
58:216-220, 1976.

916

Yamada and Imori. One step transformation of periodic sequences by
cellular automata. SIAM Journal on Computing, 1983.

917

Hisao Yamada and Masatosi Imori. One step transformation of periodic
sequences by cellular automata. SIAM Journal on Computing,
12(3):539-550, August 1983.

918

J. G. Zabolitzky. Critical properties of rule 22 elementary cellular
automata. Journal of Statistical Physics, 50:1255-1262, 1988.

919

D. Zambrella and P. Grassberger. Complexity of forecasting in a class of
simple models. Complex Systems, 2:269-303, 1988.

920

G Zandler, A Di Carlo, and K Kometer. A comparison of monte carlo and
cellular automata approaches for semiconductor device simulation. IEEE
electron device Letters, 14(2):80, February 1993.

921

C. J. Zarowski, R. D. McLeod, and H. C. Card. Primitive cellular automata,
threshold decomposition, and ranked order operations. IEEE Transactions on
Computers, 38(1):148, [1] 1989.

922

Bernard P. Zeigler. Discrete event models for cell space simulation.
International Journal of Theoretical Physics, 21(6/7):573-588, 1982.

923

S Zhang, D. M Miller, and J. C Muzio. Determination of minimal cost
one-dimensional linear hybrid cellular automata. Electronics Letters,
27(18):25, 1991.

924

Z. J. Zheng and A. J. Maeder. The conjugate classification of the kernel
form of the hexagonal grid. In T. L. Kunii and Y Shinagawa 73-89, editors,
Modern Geometric Computing for Visualization. Springer-Verlag, 1992.

925

Z. J. Zheng and A. J. Maeder. The elementary equation of the conjugate
transformation for hexagonal grid. In B. Falcidieno and T. L. Kunii, editors,
Modeling in Computer Graphics, pages 21-42. Springer-Verlag, 1993.

926

W. Zielonka. Safe executions of recognizable trace languages by
asynchronous automata. In A. R. Mayer et al., editors, Symposium on
Logical Foundations of Computer Science, Logic at Botik '89,
Pereslavl-Zalessky (USSR) 1989, number 363 in LNCS, pages 278-289.
SPRINGER, 1989.

927

K.-H. Zimmermann. Pipeline-automata - a model for acyclic systolic
systems. In G. Wolf, T. Legendi, and U. Schendel, editors, Proceedings of
the 4th International Workshop on Parallel Processing by Cellular Automata and
Arrays, pages 372-379. LNCS 342. Springer, October 1988.

928

K. Zygourakis and P. Markenscoff. Cellular automata modeling isotropic
growth of clusters of arbitrary morphology and their application to the study
of heterogeneous reacting systems. In J. Dongarra, K. Kennedy, P. Messina, D.
C. Sorensen, and R. G. Voigt, editors, Proceedings of the 5th SIAM
Conference on Parallel Processing for Scientific Computing, pages
382-387. SIAM, March 1991.