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Cited article:

Ergodicity of some probabilistic cellular automata with binary alphabet via random walks

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Entropy 24 (4) 450 (2022)

Invariant measures of interacting particle systems: Algebraic aspects

Luis Fredes and Jean-François Marckert
ESAIM: Probability and Statistics 24 526 (2020)

Ergodicity of some classes of cellular automata subject to noise

Irène Marcovici, Mathieu Sablik and Siamak Taati
Electronic Journal of Probability 24 (none) (2019)

Probabilistic Cellular Automata

Roberto Fernández, Pierre-Yves Louis and Francesca R. Nardi
Emergence, Complexity and Computation, Probabilistic Cellular Automata 27 1 (2018)

Probabilistic cellular automata with general alphabets possessing a Markov chain as an invariant distribution

Jérôme Casse
Advances in Applied Probability 48 (2) 369 (2016)

Probabilistic Cellular Automata for Low-Temperature 2-d Ising Model

Aldo Procacci, Benedetto Scoppola and Elisabetta Scoppola
Journal of Statistical Physics 165 (6) 991 (2016)

A class of non-ergodic probabilistic cellular automata with unique invariant measure and quasi-periodic orbit

Benedikt Jahnel and Christof Külske
Stochastic Processes and their Applications 125 (6) 2427 (2015)

Effect of self-interaction on the phase diagram of a Gibbs-like measure derived by a reversible Probabilistic Cellular Automata

Emilio N.M. Cirillo, Pierre-Yves Louis, Wioletta M. Ruszel and Cristian Spitoni
Chaos, Solitons & Fractals 64 36 (2014)

Transfer matrix analysis of one-dimensional majority cellular automata with thermal noise

Rémi Lemoy, Alexander Mozeika and Shinnosuke Seki
Journal of Physics A: Mathematical and Theoretical 47 (10) 105001 (2014)

Metastability for Reversible Probabilistic Cellular Automata with Self-Interaction

Emilio N. M. Cirillo, Francesca R. Nardi and Cristian Spitoni
Journal of Statistical Physics 132 (3) 431 (2008)

Ergodicity of PCA: Equivalence between Spatial and Temporal Mixing Conditions

Pierre-Yves Louis
Electronic Communications in Probability 9 (none) (2004)