| Issue |
ESAIM: PS
Volume 6, 2002
|
|
|---|---|---|
| Page(s) | 89 - 104 | |
| DOI | https://doi.org/10.1051/ps:2002004 | |
| Published online | 15 November 2002 | |
Stationary measures and phase transition for a class of Probabilistic Cellular Automata
1
Dipartimento di Matematica Pura e Applicata,
Università di Padova, Via Belzoni 7, 35131 Padova, Italy; daipra@math.unipd.it.
2
Laboratoire de Statistique
et Probabilités, FRE 2222 du CNRS, UFR de Mathématiques,
Université Lille 1, 59655 Villeneuve-d'Ascq Cedex, France;
louis@lps.univ-lille1.fr.
3
Weierstraß-Institut für
Angewandte Analysis und Stochastik, Mohrenstraße 39,
10117 Berlin, Germany; roelly@wias-berlin.de.
4
: CMAP, UMR 7641 du CNRS,
École Polytechnique, 91128 Palaiseau Cedex, France.
Received:
4
December
2001
Revised:
11
March
2002
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.
Mathematics Subject Classification: 60G60 / 60J10 / 60K35 / 82C20 / 82B26
Key words: Probabilistic Cellular Automata / stationary measure / Gibbs measure.
© EDP Sciences, SMAI, 2002
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