2 papers
math.PR2026
The Contact Process Can Survive on a Slightly Subcritical Dynamical Percolation Cluster
Aurelia Deshayes, Régine Marchand
The contact process on dynamic edges (CPDE) is a contact process evolving on a dynamic environment given by a dynamical percolation on the edges of Z d\,: each edge updates its sta…
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…