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Stationary measures and phase transition for a class of Probabilistic Cellular Automata
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New directions in Time Series Analysis (Guest Editor: Philippe Soulier)
Subject
Random fields
Markov chains (discrete-time Markov processes on discrete state spaces)
Interacting random processes; statistical mechanics type models; percolation theory
Phase transitions (general)
Dynamic lattice systems (kinetic Ising, etc.) and systems on graphs
Probabilistic Cellular Automata
stationary measure
Gibbs measure.
Title
Stationary measures and phase transition for a class of Probabilistic Cellular Automata
Date
2002-01-01
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has manifestation of work
http://hub.abes.fr/edp/periodical/ps/2002/volume_6/issue_2002/psVol6-4/m/web
http://hub.abes.fr/edp/periodical/ps/2002/volume_6/issue_2002/psVol6-4/m/print
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http://hub.abes.fr/edp/periodical/ps/2002/volume_6/issue_2002/psVol6-4/authorship/3
http://hub.abes.fr/edp/periodical/ps/2002/volume_6/issue_2002/psVol6-4/authorship/1
http://hub.abes.fr/edp/periodical/ps/2002/volume_6/issue_2002/psVol6-4/authorship/2
Author
Louis, Pierre-Yves
Rœlly, Sylvie
Pra, Paolo Dai
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.
article type
research-article
publisher identifier
psVol6-4
Date Copyrighted
2002-01-01
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© EDP Sciences, SMAI, 2002
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ESAIM: Probability and Statistics
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