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Publication 18-CNA-010

Heat Kernel Upper Bounds for Interacting Particle Systems

Arianna Giunti
Institute for Applied Mathematics
University of Bonn
Bonn, Germany

Yu Gu
Department of Mathematical Sciences
Carnegie Mellon University
Pittsburgh, PA 15213, USA
yug2@andrew.cmu.edu

Jean-Christophe Mourrat
Ecole Normale Supérieure de Lyon
CNRS
Lyon, France

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.

Get the paper in its entirety as  18-CNA-010.pdf


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