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SUMMARY:On dynamical Schrödinger problems: Gamma-convergence and convexit
y
DTSTART;VALUE=DATE-TIME:20210315T090000Z
DTEND;VALUE=DATE-TIME:20210315T100000Z
DTSTAMP;VALUE=DATE-TIME:20210508T110930Z
UID:indico-event-6444@indico.math.cnrs.fr
DESCRIPTION:The historical Schrödinger problem (~1930) consists in recons
tructing the most likely trajectory of a system of particles\, given the o
bservation of its statistical distribution at two initial and terminal tim
es. Recently\, deep links with optimal transport were discovered\, allowin
g to view the the Schrödinger problem as a noisy version of the geodesic
problem in the Wasserstein space of probability measures. The level of noi
se is determined by a small temperature ε>0 and is driven by the Boltzm
ann entropy. In the small noise limit\, it is known that the blurred probl
em Gamma-converges towards the deterministic one\, which is actually remar
kably useful for numerics. In this talk I will discuss a natural extension
to geometric Schrödinger problems driven by general entropy functionals
on arbitrary metric spaces\, for which a general Gamma-convergence results
holds and connections with geodesic convexity can be established.\n\n\nTh
is is based on joint works with L. Tamanini (CEREMADE/INRIA-Mokaplan) and
D. Vorotnikov (Univ. Coimbra).\n\n \n\nhttps://indico.math.cnrs.fr/event/
6444/
LOCATION:À distance https://webconf.math.cnrs.fr/b/pau-fvx-pac (mdp 34347
7)
URL:https://indico.math.cnrs.fr/event/6444/
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