Heat kernel upper bounds for interacting particle systems

2016/09/08 by Arianna Giunti, Giunti, Arianna, Gu, Yu +2 · 2 citations
Mathematics · #FOS: Mathematics #FOS: Physical sciences #Markov Chains and Monte Carlo Methods #Mathematical Physics (math-ph) #Probability (math.PR) #Random Matrices and Applications #Stochastic processes and statistical mechanics

paper · doi:10.48550/arxiv.1609.02527

openalex publication_date 2016/09/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Cited by

• Relaxation to equilibrium of conservative dynamics II: non-gradient exclusion processes
• Upper bound on heat kernels of finite particle systems of Keller-Segel type

Related

• Gaussian estimates for symmetric simple exclusion processes
• The inclusion process: duality and correlation inequalities
• One- and two-particle spectral gap identities for the symmetric inclusion process and related models
• Asymptotes of macroscopic observables in Gibbs measures of general interacting particle systems
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