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SUMMARY:Stochastic analysis and geometric functional inequalities
DTSTART:20150319T140000
DTEND:20150319T160000
DTSTAMP:20260410T135353Z
UID:50554f2e62f990eb782d41456d452f75162aec8ab390fb07dd005054
CATEGORIES:Conferences - Seminars
DESCRIPTION:Maria Gordina\nWe start by recalling that on a Euclidean space
  there is a connection between the spectrum of the Laplacian and the speed
  of heat diffusion\, which leads to several functional inequalities\, such
  as Poincare\, Nash etc. Moving to a curved space\, we see that the geomet
 ry of the underlying space plays an important role in such an analysis. If
 \, in addition\, the state space is infinite-dimensional\, the log-Sobolev
  inequality becomes a useful fact which can be applied to describe entropi
 c convergence of the heat flow to an equilibrium. A probabilistic point of
  view comes from a path integral representation of the heat flow for stoch
 astic differential equations driven by a Brownian motion. In particular\, 
 we will discuss how the Cameron-Martin-Girsanov type theorem is related to
  certain functional inequalities. The talk will review recent advances in 
 the field\, including elliptic and hypo-elliptic settings over both finite
 - and infinite-dimensional spaces.
LOCATION:BI A0 448 https://plan.epfl.ch/?room==BI%20A0%20448
STATUS:CANCELLED
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