Stationary measures and phase transition for a class of probabilistic cellular automata

Abstract

We discuss various properties of Probabilistic Cellular Automata, such as the structure of the set of stationary measures and multiplicity of stationary measures (or phase transition) for reversible models.

References in corpus (1)

• Critical droplets in Metastable States of Probabilistic Cellular Automata

Cited by in corpus (12)

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• Probabilistic cellular automata with general alphabets letting a Markov chain invariant
• Transfer matrix analysis of one-dimensional majority cellular automata with thermal noise
• Invariant measures of discrete interacting particle systems: Algebraic aspects
• Ergodicity versus non-ergodicity for Probabilistic Cellular Automata on rooted trees