Heat kernel upper bounds for interacting particle systems

Yu Gu, Arianna Giunti, and Jean-Christophe Mourrat

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Submission date: 09. Sep. 2016
Pages: 30
published in: The annals of probability, 47 (2019) 2, p. 1056-1095 
DOI number (of the published article): 10.1214/18-AOP1279
Bibtex
MSC-Numbers: 82C22, 35B65, 60K35
Keywords and phrases: heat kernel estimate, interacting particle systems, exclusion process
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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.