A non-ergodic probabilistic cellular automaton with a unique invariant measure

DOI10.1016/j.spa.2011.06.009zbMath1237.60076arXiv1009.0143OpenAlexW2963235777MaRDI QIDQ719767

Philippe Chassaing, Jean Mairesse

Publication date: 11 October 2011

Published in: Stochastic Processes and their Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1009.0143

zbMATH Keywords

ergodicityprobabilistic cellular automaton

Mathematics Subject Classification ID

Discrete-time Markov processes on general state spaces (60J05) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Cellular automata (computational aspects) (68Q80) Dynamical aspects of cellular automata (37B15)

Related Items (10)

Ergodicity of some classes of cellular automata subject to noise ⋮ Overview: PCA Models and Issues ⋮ Convergence Time of Probabilistic Cellular Automata on the Torus ⋮ Cold dynamics in cellular automata: a tutorial ⋮ Rotating states in driven clock- and XY-models ⋮ A class of nonergodic interacting particle systems with unique invariant measure ⋮ Around probabilistic cellular automata ⋮ Probabilistic Cellular Automata, Invariant Measures, and Perfect Sampling ⋮ Markovianity of the invariant distribution of probabilistic cellular automata on the line ⋮ A class of non-ergodic probabilistic cellular automata with unique invariant measure and quasi-periodic orbit

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