Title	Optimal mass transport and density flows
Creator	Georgiou, Tryphon
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2017-05-02T10:01
Description	We will discuss certain new directions in the nexus of ideas that originate in Optimal Mass Transport (OMT) and the Schroedinger Bridge Problem (SBP). More specifically, we will discuss generalizations to the setting of matrix-valued and vector-valued distributions. Matrix-valued OMT in particular allows us to define a Wasserstein geometry on the space of density matrices of quantum mechanics and, as it turns out, the Lindblad equation of open quantum systems (quantum diffusion) turns out to be exactly the gradient flow of the von Neumann quantum entropy in this sense. The talk is based on joint work with Yongxin Chen (MSKCC), Michele Pavon (University of Padova), and Allen Tannenbaum (Stony Brook).
Extent	29 minutes
Subject	Mathematics; Calculus of variations and optimal control; optimization; Statistics; Scientific computing
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: University of California, Irvine
Series	BIRS Workshop Lecture Videos (Oaxaca de Juárez (Mexico))
Date Available	2017-10-30
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0357385
URI	http://hdl.handle.net/2429/63480
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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Optimal mass transport and density flows Georgiou, Tryphon

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