Stationary measures and phase transition for a class of probabilistic cellular automata
ESAIM: Probability and Statistics, Tome 6 (2002), pp. 89-104.

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.

DOI : 10.1051/ps:2002004
Classification : 60G60, 60J10, 60K35, 82C20, 82B26
Mots clés : probabilistic cellular automata, stationary measure, Gibbs measure 
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     author = {Pra, Paolo Dai and Louis, Pierre-Yves and R{\oe}lly, Sylvie},
     title = {Stationary measures and phase transition for a class of probabilistic cellular automata},
     journal = {ESAIM: Probability and Statistics},
     pages = {89--104},
     publisher = {EDP-Sciences},
     volume = {6},
     year = {2002},
     doi = {10.1051/ps:2002004},
     zbl = {1003.60090},
     language = {en},
     url = {http://www.numdam.org/articles/10.1051/ps:2002004/}
}
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Pra, Paolo Dai; Louis, Pierre-Yves; Rœlly, Sylvie. Stationary measures and phase transition for a class of probabilistic cellular automata. ESAIM: Probability and Statistics, Tome 6 (2002), pp. 89-104. doi : 10.1051/ps:2002004. http://www.numdam.org/articles/10.1051/ps:2002004/

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