»ã±¨±êÌâ (Title)£ºOrnstein-Uhlenbeck Type Processes on Wasserstein Space£¨Wasserstein¿Õ¼äÉϵÄO-U¹ý³Ì£©
»ã±¨ÈË (Speaker)£º Íõ·ïÓê ½ÌÊÚ£¨Ìì½ò´óѧ£©
»ã±¨¹¦·ò (Time)£º2023Äê12ÔÂ13ÈÕ (ÖÜÈý) 16:00
»ã±¨µØÖ· (Place)£ºÐ£±¾²¿F309
Ô¼ÇëÈË(Inviter)£ºÑô·Ò·Ò
Ö÷°ì²¿ÃÅ£ºÀíѧԺÊýѧϵ
»ã±¨ÌáÒª£ºThe Gaussian measure and Ornstein-Uhlenbeck type Dirichelt form are constructed on the Wasserstein space as images form those on the tangent space. The Dirichelt form is quasi regular and satisfies the log-Sobolev inequality, and the associated Markov semigroup is $L^2$-compact.