汇报标题 (Title)： Exponential contraction and propagation of chaos uniform in time under a Lyapunov condition for Langevin dynamics of McKean-Vlasov type with Levy noises（Levy噪声驱动的McKean-Vlasov型Langevin动力学在Lyapunov前提下的指数收缩性和功夫一致的混沌传布）
汇报人 (Speaker)： 王建 教授（福建师范大学）
汇报功夫 (Time)：2024年9月4日 (周三) 10:00
汇报地址 (Place)：腾讯会议：306-615-044 (会议密码：123456)
约请人(Inviter)：阳芬芬
主办部门：理学院数学系
汇报提要：
By the probabilistic coupling approach which combines a new refined basic coupling with the synchronous coupling for Levy processes, we obtain explicit exponential contraction rates in terms of Wasserstein distance for the Langevin dynamic (X, Y) of McKean-Vlasov type. The proof is also based on a novel distance function with respect to a Lyapunov-type function, which is designed according to the distance of the marginals associated with the constructed coupling process. Furthermore, by applying the coupling technique above with modifications on the construction of a new Lyapunov-type function, we also provide uniform in time propagation of chaos for the corresponding mean-field interacting particle systems with Levy noises as well as with explicit bounds.
