Glauber-Exclusion dynamics: rapid mixing regime*

Ryokichi Tanaka, Kenkichi Tsunoda

Research output: Contribution to journalArticlepeer-review

Abstract

We show that for any attractive Glauber-Exclusion process on the one-dimensional lattice of size N with periodic boundary condition, if the corresponding hydrodynamic limit equation has a reaction term with a strictly convex potential, then the total-variation mixing time is of order O(log N). In particular, the result covers the full high-temperature regime in the original model introduced by De Masi, Ferrari and Lebowitz (1985).

Original languageEnglish
Article number141
JournalElectronic Journal of Probability
Volume27
DOIs
Publication statusPublished - 2022

All Science Journal Classification (ASJC) codes

  • Statistics and Probability
  • Statistics, Probability and Uncertainty

Fingerprint

Dive into the research topics of 'Glauber-Exclusion dynamics: rapid mixing regime*'. Together they form a unique fingerprint.

Cite this