HEAT KERNEL UPPER BOUNDS FOR INTERACTING PARTICLE SYSTEMS

HEAT KERNEL UPPER BOUNDS FOR INTERACTING PARTICLE SYSTEMS

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–Varopoul...

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Veröffentlicht in:The Annals of probability 2019-03, Vol.47 (2), p.1056-1095
Hauptverfasser: Giunti, Arianna, Gu, Yu, Mourrat, Jean-Christophe
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Mathematical Physics
Mathematics
Physics
Probability
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container_issue 2
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container_title The Annals of probability
container_volume 47
creator Giunti, Arianna
Gu, Yu
Mourrat, Jean-Christophe
description 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.
doi_str_mv 10.1214/18-AOP1279
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subjects Mathematical Physics
Mathematics
Physics
Probability
title HEAT KERNEL UPPER BOUNDS FOR INTERACTING PARTICLE SYSTEMS
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