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2023.11.08

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»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)£º2023Äê11ÔÂ9ÈÕ(ÖÜËÄ) 10:00

»ã±¨µØÖ· (Place)£ºÐ£±¾²¿F309

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»ã±¨±êÌ⣺Ornstein-Uhlenbeck Type Processes on Wasserstein Space£¨Wasserstein¿Õ¼äÉϵÄO-U¹ý³Ì£©

»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.

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