Bibliography
Selected literature from the revival period 1983-86 may obtained
from Wolfram's reprint volume
Theory and Application of Cellular Automata,
World Scientific, Singapore, 1986, ISBN 9971-50-124-4 pbk.
Here is an extract:
- Basic Theory and phenomenology
- S. Wolfram, Statistical mechanics of cellular
automata,
Rev. Mod Phys. 55, 601-644(1983)
- O. Martin, A. Odlyzko and S. Wolfram, Algebraic
properties of cellular automata,
Commun. Math. Phys. 93, 219-258(1984).
- S. Wolfram,
Universality and complexity in cellular automata,
Physica D, 10, 1-35(1984).
- N. Packard and S. Wolfram,
Two dimensional cellular automata,
J. Stat. Phys. 38, 901-946(1985).
- S. Wolfram,
Twenty problems in the theory of cellular automata,
Physica Scripta, T9, 170-183(1985).
- Computation theoretical approaches
- S. Wolfram,
Computation theory of cellular automata,
Commun. Math. Phys. 96, 15-57(1984).
- N. Margolus,
Physics-like models of computation,
Physica D, 10, 81-95(1984).
- S. Wolfram,
Random sequences generation by cellular automata,
Adv. Applied Math. 7, 123-169(1986).
- S. Wolfram,
Undecidability and intractability in theoretical physics,
Phys. Rev. Lett. 54, 735-738(1985).
- S. Wolfram,
Origins of randomness in physical physics,
Phys. Rev. Lett. 55, 449-452(1985).
- Some applications
- Y. Ono and M. Kohmoto,
Discrete model of chemical turbulence,
Phys. Rev. Lett. 55, 2927-2931(1985).
- J. Park, K. Steiglitz and W. Thurston,
Soliton-like behavior in automata,
Physica D, 19, 423-432(1986).
- J. Pomeau,
Invariant in cellular automata,
J. Phys. A 17, L415-L418(1984).
- Probabilistic cellular automata
- W. Kinzel, Phase transitions in cellular automata,
Z. Phys. B 58, 229-244(1985).
- P. Grassberger, F. Krause and T. von der Twer,
A new type of kinetic critical phenomena,
J. Phys. A 17, L105-L109(1984).
- K. Kaneko and Y. Akutsu,
Phase transitions in 2D stochastic cellular automata,
J. Phys. A 19, L69-L75(1986).
- E. Domany and W. Kinzel,
Equivalence of cellular automata to Ising models and
directed percolation,
Phys. Rev. Lett. 53, 311-314(1984).
- G. Grinstein, C. Jayaprakash and Y. He,
Statistical mechanics of probabilistic cellular automata,
Phys. Rev. Lett. 55, 2527-2530(1985).
- C. Bennet and G. Grinstein,
Role of irreversibility in stabilizing complex and
nonergodic behavior in locally interacting discrete systems,
Phys. Rev. Lett. 55, 657-660(1985).
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