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Cutoff for the mixing time of the facilitated exclusion process

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  • Massoulié, Brune

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 Simple Symmetric 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.

Suggested Citation

  • Massoulié, Brune, 2026. "Cutoff for the mixing time of the facilitated exclusion process," Stochastic Processes and their Applications, Elsevier, vol. 197(C).
    • Handle: RePEc:eee:spapps:v:197:y:2026:i:c:s0304414926000657
    DOI: 10.1016/j.spa.2026.104933
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