HEAT KERNEL UPPER BOUNDS FOR INTERACTING PARTICLE SYSTEMS

• 成果类型: Article
• 署名作者: Giunti, Arianna; Gu, Yu; Mourrat, Jean-Christophe
• 署名单位: University of Bonn; Carnegie Mellon University; Centre National de la Recherche Scientifique (CNRS); Universite PSL; Ecole Normale Superieure (ENS)
• 刊物名称: ANNALS OF PROBABILITY
• ISSN/ISSBN: 0091-1798
• DOI: 10.1214/18-AOP1279
• 发表日期: 2019
• 页码: 1056-1095
• 关键词: quenched invariance-principles; random conductance model; central-limit-theorem; Stochastic Homogenization; random-walks; percolation; CONVERGENCE; equilibrium; functionals; REGULARITY

摘要

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.