Wasserstein¿Õ¼äÉϵÄO-U¹ý³Ì

2023.12.14

Ͷ¸å£º¹¨»ÝÓ¢²¿ÃÅ£ºÀíѧԺä¯ÀÀ´ÎÊý£º

»î¶¯ÐÅÏ¢

»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.

¡¾ÍøÕ¾µØÍ¼¡¿