Heat kernel upper bounds for interacting particle systems

Arianna Giunti, Yu Gu, Jean Christophe Mourrat

Research output: Contribution to journalArticle

Abstract

We show a diffusive upper bound on the transition probability of a tagged particle in the symmetric simple exclusion process. The proof relies on optimal spectral gap estimates for the dynamics in finite volume, which are of independent interest. We also show off-diagonal estimates of Carne-Varopoulos type.

Original languageEnglish (US)
Pages (from-to)1056-1095
Number of pages40
JournalAnnals of Probability
Volume47
Issue number2
DOIs
StatePublished - 2019

Keywords

  • Exclusion process
  • Heat kernel estimate
  • Interacting particle system

ASJC Scopus subject areas

  • Statistics and Probability
  • Statistics, Probability and Uncertainty

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