Laws of large numbers for a cellular automaton

DOI10.1214/aop/1176989124zbMath0787.60121OpenAlexW1985862968MaRDI QIDQ688054

Haiyan Cai, Xiaolong Luo

Publication date: 19 May 1994

Published in: The Annals of Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1214/aop/1176989124

zbMATH Keywords

characteristic functioncellular automatonergodic properties

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35)

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Statistical mechanics of surjective cellular automata ⋮ Law of large numbers for non-local functions on probabilistic cellular automata ⋮ A normal approximation theorem in comparing two binomial distributions ⋮ The ergodic theory of cellular automata