Stationary measures and phase transition for a class of Probabilistic Cellular Automata

Paolo Dai Pra; Pierre-Yves Louis; Sylvie Rœlly

ESAIM: Probability and Statistics (2010)

  • Volume: 6, page 89-104
  • ISSN: 1292-8100

Abstract

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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.

How to cite

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Pra, Paolo Dai, Louis, Pierre-Yves, and Rœlly, Sylvie. "Stationary measures and phase transition for a class of Probabilistic Cellular Automata." ESAIM: Probability and Statistics 6 (2010): 89-104. <http://eudml.org/doc/104297>.

@article{Pra2010,
abstract = { 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. },
author = {Pra, Paolo Dai, Louis, Pierre-Yves, Rœlly, Sylvie},
journal = {ESAIM: Probability and Statistics},
keywords = {Probabilistic Cellular Automata; stationary measure; Gibbs measure.; Gibbs measure; probabilistic cellular automata; stationary measures},
language = {eng},
month = {3},
pages = {89-104},
publisher = {EDP Sciences},
title = {Stationary measures and phase transition for a class of Probabilistic Cellular Automata},
url = {http://eudml.org/doc/104297},
volume = {6},
year = {2010},
}

TY - JOUR
AU - Pra, Paolo Dai
AU - Louis, Pierre-Yves
AU - Rœlly, Sylvie
TI - Stationary measures and phase transition for a class of Probabilistic Cellular Automata
JO - ESAIM: Probability and Statistics
DA - 2010/3//
PB - EDP Sciences
VL - 6
SP - 89
EP - 104
AB - 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.
LA - eng
KW - Probabilistic Cellular Automata; stationary measure; Gibbs measure.; Gibbs measure; probabilistic cellular automata; stationary measures
UR - http://eudml.org/doc/104297
ER -

References

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