Cellular Automaton Supercomputing (1988)

References

[1] S. Wolfram, ``Computer software in science and mathematics,'' Scientific American (September 1984).

[2] A. Sommerfeld, Partial differential equations of mathematical physics (Academic Press, 1955).

[3] S. Wolfram (ed.), Theory and applications of cellular automata (World Scientific, Singapore, 1986).

[4] S. Wolfram, ``Cellular automata as models of complexity,'' Nature 311 (1984) 419.

[5] W. D. Hillis, The Connection Machine (MIT Press, 1985).

[6] U. Frisch, B. Hasslacher and Y. Pomeau, ``Lattice gas automata for the Navier-Stokes equation,'' Physical Review Letters 56 (1986) 1505 [reprinted in ref. 3]; J. Salem and S. Wolfram, ``Thermodynamics and hydrodynamics with cellular automata,'' in ref. 3; S. Wolfram, ``Cellular automaton fluids 1: Basic theory,'' Journal of Statistical Physics 45 (1986) 471--526; B. Nemnich and S. Wolfram, ``Cellular automaton fluids 2: Basic phenomenology,'' Center for Complex Systems Research/Thinking Machines Corporation Report, to appear.

[7] D. J. Tritton, Physical fluid dynamics (Van Nostrand, 1977).

[8] A. Sommerfeld, Thermodynamics and statistical mechanics (Academic Press, 1955).

[9] S. Wolfram, ``Random sequence generation by cellular automata,'' Advances in Applied Mathematics 7 (1986) 123.

[10] S. Wolfram, ``Origins of randomness in physical systems,'' Physical Review Letters 55 (1985) 449.

[11] S. Wolfram, ``Cryptography with cellular automata,'' in Proceedings of CRYPTO'85 (Santa Barbara, August 1985).

[12] J. Hopcroft and J. Ullman, Introduction to automata theory, languages, and computation (Addison-Wesley, 1979).

[13] M. Creutz, ``Deterministic Ising dynamics,'' Annals of Physics 167 (1986) 62; Y. Pomeau, ``Invariant in cellular automata,'' Journal of Physics A17 (1984) L415.

[14] D. Farmer, A. Lapedes, N. Packard, and B. Wendroff (eds.), Evolution, games and learning, Physica D, 1986.

[15] S. Wolfram, ``Approaches to complexity engineering,'' in ref. 2 and ref. 14.

[16] S. Kirkpatrick et al., ``Global optimization by simulated annealing,'' Science 220 (1986) 671.

[17] N. Packard, ``Adaptation in the space of cellular automaton rules,'' Center for Complex Systems Research Report, in preparation.