betway必威学术报告-Exponential ergodicity for damping Hamiltonian dynamics with state-dependent and non-local collisions

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

报告人:鲍建海(天津大学应用数学中心)

主持人:betway必威副经理郭洪峰教授

报告地点:舜耕校区实验楼507

报告时间:2023年5月14日(周日)15:45---16:45

主办单位:betway必威

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 while is very popular in numerous modelling situations including stochastic algorithms. The approach adopted in this talk 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 talk is a continuation of the counterpart in our previous work on exponential ergodicity of stochastic Hamiltonian systems with Levy noises.

报告人简介:鲍建海,现任职于天津大学应用数学中心。2013年01月获英国斯旺西大学博士学位;2012年9月-2013年8月在美国韦恩州立大学从事Research Fellow;2017年1月-2019年12月在英国斯旺西大学从事博士后研究;2013年9月-2020年6月,在中南大学数学与统计学院工作。