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March 2019 Heat kernel upper bounds for interacting particle systems
Arianna Giunti, Yu Gu, Jean-Christophe Mourrat
Ann. Probab. 47(2): 1056-1095 (March 2019). DOI: 10.1214/18-AOP1279

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.

Citation

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Arianna Giunti. Yu Gu. Jean-Christophe Mourrat. "Heat kernel upper bounds for interacting particle systems." Ann. Probab. 47 (2) 1056 - 1095, March 2019. https://doi.org/10.1214/18-AOP1279

Information

Received: 1 September 2016; Revised: 1 April 2018; Published: March 2019
First available in Project Euclid: 26 February 2019

zbMATH: 07053564
MathSciNet: MR3916942
Digital Object Identifier: 10.1214/18-AOP1279

Subjects:
Primary: 35B65, 82C22
Secondary: 60K35

Rights: Copyright © 2019 Institute of Mathematical Statistics

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Vol.47 • No. 2 • March 2019
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