Stationary measures and phase transition for a class of probabilistic cellular automata
Paolo Dai Pra, Pierre-Yves Louis (UFR de Math\'ematiques Universit\'e, de Lille), Sylvie Roelly (WIAS, CMAP)
TL;DR
This paper investigates the stationary measures and phase transitions in a class of probabilistic cellular automata, focusing on their structure and multiplicity, especially in reversible models.
Contribution
It provides new insights into the structure of stationary measures and the conditions for phase transitions in probabilistic cellular automata.
Findings
Characterization of stationary measures
Identification of phase transition conditions
Analysis of reversible models
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.
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