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SUMMARY:Curvature condition for the stability of SDEs on the Wasserstein s
 pace
DTSTART:20261103T085000Z
DTEND:20261103T095000Z
DTSTAMP:20261115T162700Z
UID:indico-event-17068@indico.math.cnrs.fr
DESCRIPTION:Speakers: Aymeric Martin (Université de Bordeaux)\n\nIn 2013\
 , Cattiaux and Guillin introduce the so-called HC(K) condition for $K \\in
  \\mathbb{R}$ on the drift and the diffusion coefficients of an $\\mathbb{
 R}^d$-valued SDE to study the stability of the latter (Ergodicity\, speed 
 of convergence\, functional inequalities…). We present a generalization 
 of this condition\, the IWCD(K) condition\, on the Wasserstein space over 
 a closed Riemannian manifold\, which depends on the driving vector fields 
 of the SDE but also on the instrinsic Riemann curvature of the Wasserstein
  space. In particular\, when $K>0$\, we obtain the existence and uniquenes
 s of an ergodic invariant measure for the associated Markov semigroup.\n\n
 https://indico.math.cnrs.fr/event/17068/
LOCATION:Amphi Schwartz
URL:https://indico.math.cnrs.fr/event/17068/
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