Coupling from the past for exponentially ergodic one-dimensional probabilistic cellular automata
Probability
2021-09-01 v2
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.
Cite
@article{arxiv.2106.07219,
title = {Coupling from the past for exponentially ergodic one-dimensional probabilistic cellular automata},
author = {Jean Bérard},
journal= {arXiv preprint arXiv:2106.07219},
year = {2021}
}