English

Stationary measures and phase transition for a class of probabilistic cellular automata

Probability 2016-04-28 v1 Discrete Mathematics Adaptation and Self-Organizing Systems Cellular Automata and Lattice Gases

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.

Keywords

Cite

@article{arxiv.1604.07970,
  title  = {Stationary measures and phase transition for a class of probabilistic cellular automata},
  author = {Paolo Dai Pra and Pierre-Yves Louis and Sylvie Roelly},
  journal= {arXiv preprint arXiv:1604.07970},
  year   = {2016}
}