Cutoff for the mixing time of the Facilitated Exclusion Process

2024/12/05 by Brune Massoulié, Massoulié, Brune
Mathematics · #FOS: Mathematics #Markov Chains and Monte Carlo Methods #Probability (math.PR) #Random Matrices and Applications #Stochastic processes and statistical mechanics

paper · pdf · doi:10.48550/arxiv.2412.04032

openalex publication_date 2024/12/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01

Abstract

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, deterministic mapping between the joint law of an ergodic FEP and its current through the origin, and the joint law of a Symmetric Simple Exclusion Process (SSEP) and its current through the origin. This mapping is interesting in itself, as it remains valid in the non-ergodic regime where it gives a coupling between the position of a tagged particle in the FEP and the current through the origin in a SSEP with traps.

Related

• Mixing Times for the Facilitated Exclusion Process
• Cutoff for the transience and mixing time of a SSEP with traps and consequences on the FEP
• Mixing Time and Cutoff for the k-SEP
• Cutoff of the simple exclusion process with inhomogeneous conductances
• Mixing times for the simple exclusion process with open boundaries