»ã±¨±êÌâ (Title)£º Exponential contraction and propagation of chaos uniform in time under a Lyapunov condition for Langevin dynamics of McKean-Vlasov type with Levy noises£¨LevyÔëÉùÇý¶¯µÄMcKean-VlasovÐÍLangevin¶¯Á¦Ñ§ÔÚLyapunovÇ°ÌáϵÄÖ¸ÊýÊÕËõÐԺ͹¦·òÒ»ÖµĻìãç´«²¼£©

»ã±¨ÈË (Speaker)£º Íõ½¨ ½ÌÊÚ£¨¸£½¨Ê¦·¶´óѧ£©

»ã±¨¹¦·ò (Time)£º2024Äê9ÔÂ4ÈÕ (ÖÜÈý) 10:00

»ã±¨µØÖ· (Place)£ºÌÚѶ»áÒ飺306-615-044 (»áÒéÃÜÂ룺123456)

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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.