期刊
ANNALS OF PROBABILITY
卷 47, 期 2, 页码 1056-1095出版社
INST MATHEMATICAL STATISTICS
DOI: 10.1214/18-AOP1279
关键词
Heat kernel estimate; interacting particle system; exclusion process
资金
- NSF [DMS-1613301]
- Center for Nonlinear Analysis of CMU
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 Came-Varopoulos type.
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