Quasi-stationary distribution for Hamiltonian dynamics with singular potentials

• 成果类型: Article
• 署名作者: Guillin, Arnaud; Nectoux, Boris; Wu, Liming
• 署名单位: Universite Clermont Auvergne (UCA); Centre National de la Recherche Scientifique (CNRS)
• 刊物名称: PROBABILITY THEORY AND RELATED FIELDS
• ISSN/ISSBN: 0178-8051
• DOI: 10.1007/s00440-022-01154-9
• 发表日期: 2023
• 页码: 921-959
• 关键词: exponential convergence; dependent diffusion; ergodicity; time; criteria

摘要

In this work, we prove the existence and the uniqueness of a quasi-stationary distribution for hypoelliptic Hamiltonian dynamics for a system of N particles in R-d interacting with Lennard-Jones type potentials or with repulsive Coulomb potentials.