3 papers
math.PR2026
Sharp freezing time estimates for the subcritical Facilitated Exclusion Process
Oriane Blondel, Clément Erignoux, Seonwoo Kim +1
We investigate the exact transience time of the Facilitated Exclusion Process (FEP) on the one-dimensional torus with sites. The FEP exhibits an active/inactive phase transitio…
math.PR2025
Weakly asymmetric facilitated exclusion process
Guillaume Barraquand, Oriane Blondel, Marielle Simon
We consider the facilitated exclusion process, an interacting particle system on the integer line where particles hop to one of their left or right neighbouring site only when the…
math.PR2024
Stationary measures for the Porous Medium Model
Oriane Blondel
We study the stationary measures for variants of the Porous Medium Model in dimension 1. These are exclusion processes that belong to the class of kinetically constrained models, i…