Title	Some ideas and results about gradient flows and large deviations
Creator	Léonard, Christian
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2018-12-10T15:22
Description	In several situations, the empirical measure of a large number of random particles evolving in a heat bath is an approximation of the solution of a dissipative PDE. The evaluation of the probabilities of large deviations of this empirical measure suggests a way of defining a natural ``large deviation cost'' for these fluctuations, very much in the spirit of optimal transport. Some standard Wasserstein gradient flow evolutions are revisited in this perspective, both in terms of heuristic results and a few rigorous ones. This talk gathers several joint works with Julio Backhoff, Giovanni Conforti, Ivan Gentil, Luigia Ripani and Johannes Zimmer.
Extent	36.0
Subject	Mathematics; Calculus of variations and optimal control; optimization; Differential geometry
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: Universite Paris Nanterre
Series	BIRS Workshop Lecture Videos (Banff, Alta)
Date Available	2019-06-09
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0379367
URI	http://hdl.handle.net/2429/70583
Affiliation	Non UBC
Peer Review Status	Unreviewed
Scholarly Level	Faculty
Rights URI	http://creativecommons.org/licenses/by-nc-nd/4.0/
Aggregated Source Repository	DSpace

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