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A non-ergodic probabilistic cellular automaton with a unique invariant measure
Probabilistic cellular automaton interacting particle system ergodicity
2010/12/15
We exhibit a Probabilistic Cellular Automaton (PCA) on {0, 1}Z with a neighborhood of size 2 which is non-ergodic although it has a unique invariant measure.This answers by the negative an old open qu...
Construction of an isotropic cellular automaton for a reaction-diffusion equation by means of a random walk
reaction-diffusion equation random walk
2010/4/1
We propose a new method to construct an isotropic cellular automaton corresponding to a reaction-diffusion equation. The method consists of replacing the diffusion term and the reaction term of the re...