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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)
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Invariant measures of interacting particle systems: Algebraic aspects

Luis Fredes and Jean-François Marckert
ESAIM: Probability and Statistics 24 526 (2020)
https://doi.org/10.1051/ps/2020008

Ergodicity of some classes of cellular automata subject to noise

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

Roberto Fernández, Pierre-Yves Louis and Francesca R. Nardi
Emergence, Complexity and Computation, Probabilistic Cellular Automata 27 1 (2018)
https://doi.org/10.1007/978-3-319-65558-1_1

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

Jérôme Casse
Advances in Applied Probability 48 (2) 369 (2016)
https://doi.org/10.1017/apr.2016.5

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)
https://doi.org/10.1007/s10955-016-1661-2

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)
https://doi.org/10.1016/j.spa.2015.01.006

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)
https://doi.org/10.1016/j.chaos.2013.12.001

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)
https://doi.org/10.1088/1751-8113/47/10/105001

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)
https://doi.org/10.1007/s10955-008-9563-6

Ergodicity of PCA: Equivalence between Spatial and Temporal Mixing Conditions

Pierre-Yves Louis
Electronic Communications in Probability 9 (none) (2004)
https://doi.org/10.1214/ECP.v9-1116