Coupling from the past for exponentially ergodic one-dimensional probabilistic cellular automata

Jean Bérard

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arXiv · 2106.07219

Coupling from the past for exponentially ergodic one-dimensional probabilistic cellular automata

Jean Bérard

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Abstract

We prove that, for every one-dimendional exponentially ergodic probabilistic cellular automaton with positive rates, there exists a locally defined coupling-from-the-past flow whose coalescence time has a finite exponential moment.

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Jean Bérard. 2021-06-14. Coupling from the past for exponentially ergodic one-dimensional probabilistic cellular automata. https://arxiv.org/abs/2106.07219

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