Monte Carlo study of infinite-dimensional cellular automata

John G. Zabolitzky

Physica A: Statistical Mechanics and its Applications, 1990, vol. 163, issue 2, 447-457

Abstract: The well-known one-dimensional elementary cellular automata are generalized to an infinite number of dimensions. The generalization of the most interesting automaton in 1D, “Rule 22”, is studied in detail by means of Monte Carlo as well as enumeration methods. It is shown that Monte Carlo data extrapolate very smoothly to infinite system size. Numerical deviation from mean-field theory is analyzed.

Date: 1990
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:163:y:1990:i:2:p:447-457

DOI: 10.1016/0378-4371(90)90136-G

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