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Barycenters in the Wasserstein Space

โœ Scribed by Agueh, Martial; Carlier, Guillaume


Book ID
118197900
Publisher
Society for Industrial and Applied Mathematics
Year
2011
Tongue
English
Weight
270 KB
Volume
43
Category
Article
ISSN
0036-1410

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In this paper we consider a Hamiltonian H on P 2 (R 2d ), the set of probability measures with finite quadratic moments on the phase space R 2d = R d ร— R d , which is a metric space when endowed with the Wasserstein distance W 2 . We study the initial value problem dยต t /dt +โˆ‡โ€ข(J d v t ยต t ) = 0, wh