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math.PR2024
Cutoff for the mixing time of the Facilitated Exclusion Process
Brune Massoulié
We compute the mixing time of the Facilitated Exclusion Process (FEP) and obtain cutoff and pre-cutoff in different regimes. The main tool to obtain this result is a new bijective,…
math.PR2024
Cutoff for the transience and mixing time of a SSEP with traps and consequences on the FEP
Clément Erignoux, Brune Massoulié
We introduce a new particle system that we call the SSEP with traps, which is non reversible, attractive, and has a transient regime. We study its \emph{transience time} , mea…
math.PR2023
Wetting on a wall and wetting in a well: Overview of equilibrium properties
Quentin Berger, Brune Massoulié
We study the wetting model, which considers a random walk constrained to remain above a hard wall, but with additional pinning potential for each contact with the wall. This model…