:::    J A S O N   G A L L A S     on     Cellular Automata     :::

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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Published 17 Aug 2003; last revised 17 Jul 2004.
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