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

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.

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Published inProbability and statistics Vol. 6; pp. 89 - 104
Main Authors Pra, Paolo Dai, Louis, Pierre-Yves, Rœlly, Sylvie
Format Journal Article
LanguageEnglish
Published Les Ulis EDP Sciences 2002
Subjects
60G60
60J10
60K35
82B26
82C20
Adaptation and Self-Organizing Systems
Algorithms
Cellular Automata and Lattice Gases
Computer Science
Discrete Mathematics
Gibbs measure
Investigations
Markov analysis
Mathematics
Nonlinear Sciences
Phase transitions
Probabilistic Cellular Automata
Probability
stationary measure
82B26
60J10
82C20
60K35
Mathematics Subject Classification 60G60
Online AccessGet full text
ISSN1292-8100
1262-3318
DOI10.1051/ps:2002004

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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.
AbstractList 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.
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. [PUBLICATION ABSTRACT]
Author Louis, Pierre-Yves
Pra, Paolo Dai
Rœlly, Sylvie
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  givenname: Sylvie
  surname: Rœlly
  fullname: Rœlly, Sylvie
  organization: Weierstraß-Institut für Angewandte Analysis und Stochastik, Mohrenstraße 39, 10117 Berlin, Germany; roelly@wias-berlin.de
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Snippet We discuss various properties of Probabilistic Cellular Automata, such as the structure of the set of stationary measures and multiplicity of stationary...
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SubjectTerms 60G60
60J10
60K35
82B26
82C20
Adaptation and Self-Organizing Systems
Algorithms
Cellular Automata and Lattice Gases
Computer Science
Discrete Mathematics
Gibbs measure
Investigations
Markov analysis
Mathematics
Nonlinear Sciences
Phase transitions
Probabilistic Cellular Automata
Probability
stationary measure
Title Stationary measures and phase transition for a class of Probabilistic Cellular Automata
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