WIAS Preprint No. 700, (2001)

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


  • Dai Pra, Paolo
  • Louis, Pierre-Yves
  • Rœlly, Sylvie

2010 Mathematics Subject Classification

  • 60G60 60J10 60K35 82C20 82B26


  • Probabilistic Cellular Automata, stationary measure, Gibbs measure


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.

Appeared in

  • ESAIM probab. Statist. 6 (2002), pp. 89-104

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