Title	Gromov-Hausdorff convergence of discrete optimal transport
Creator	Maas, Jan
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2018-04-12T10:33
Description	For a natural class of discretisations of a convex domain in $R^n$, we consider the dynamical optimal transport metric for probability measures on the discrete mesh. Although the associated discrete heat flow converges to the continuous heat flow, we show that the transport metric may fail to converge to the 2-Kantorovich metric. Under an additional symmetry condition on the mesh, we show that Gromov-Hausdorff convergence to the 2-Kantorovich metric holds. This is joint work with Peter Gladbach and Eva Kopfer.
Extent	33 minutes
Subject	Mathematics; Partial differential equations; Statistical mechanics, structure of matter
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: IST Austria
Series	BIRS Workshop Lecture Videos (Banff, Alta)
Date Available	2018-10-11
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0372481
URI	http://hdl.handle.net/2429/67464
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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