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• W2136786922 abstract "We discuss a close link between two seemingly different topics studied in the cellular automata literature: additive conservation laws and invariant probability measures. We provide an elementary proof of a simple correspondence between invariant full-support Bernoulli measures and interaction-free conserved quantities in the case of one-dimensional surjective cellular automata. We also discuss a generalization of this fact to Markov measures and higher-range conservation laws in arbitrary dimension. As a corollary, we show that the uniform Bernoulli measure is the only shift-invariant, full-support Markov measure that is invariant under a strongly transitive cellular automaton." @default.
• W2136786922 created "2016-06-24" @default.
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• W2136786922 date "2011-01-01" @default.
• W2136786922 modified "2023-10-18" @default.
• W2136786922 title "Conservation Laws and Invariant Measures in Surjective Cellular Automata" @default.
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• W2136786922 doi "https://doi.org/10.46298/dmtcs.2968" @default.
• W2136786922 hasPublicationYear "2011" @default.
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