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
Format: Artikel
Sprache:eng
Schlagworte:
Mathematical Physics
Mathematics
Physics
Probability
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Beschreibung
Zusammenfassung: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.
ISSN:0091-1798
2168-894X
DOI:10.1214/18-AOP1279