报告题目：Exponential ergodicity for damping Hamiltonian dynamics with state-dependent and non-local collisions

报告人：鲍建海 教授, 天津大学

报告时间：10月26日 周三 下午 15:00-16:00

地点：腾讯会议：658-418-690  没有密码

摘要：

In this talk, we investigate the exponential ergodicity in a Wasserstein-type distance for a damping Hamiltonian dynamics with state-dependent and non-local collisions, which indeed is a special case of piecewise deterministic Markov processes that is very popular in numerous modelling situations including stochastic algorithms. The approach adopted in this work is based on a combination of the refined basic coupling and the refined reflection coupling for non-local operators. In a certain sense, the main result developed in the present paper is a continuation of the counterpart in Bao and Wang (2022) on exponential ergodicity of stochastic Hamiltonian systems with Lévy noises and a complement of Bou-Rabee and Eberle (2022) upon exponential ergodicity for Andersen dynamics with constant jump rate functions. This is a joint work with Jian Wang