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math.PR2025
Ergodicity of the hard-core PCA with a random walk method
Jérôme Casse, Irène Marcovici, Maxence Poutrel
The hard-core probabilistic cellular automaton has attracted a renewed interest in the last few years, thanks to its connection with the study of a combinatorial game on percolatio…
math.PR2025
Richardson's model and the contact process with stirring: long time behavior
Régine Marchand, Irène Marcovici, Pierrick Siest
We study two famous interacting particle systems, the so-called Richardson's model and the contact process, when we add a stirring dynamics to them. We prove that they both satisfy…