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dc.contributor.authorCarlier, Guillaume
dc.contributor.authorAgueh, Martial
dc.date.accessioned2011-11-02T15:02:09Z
dc.date.available2011-11-02T15:02:09Z
dc.date.issued2011
dc.identifier.urihttps://basepub.dauphine.fr/handle/123456789/7368
dc.language.isoenen
dc.subjectdualityen
dc.subjectconvexityen
dc.subjectWasserstein spaceen
dc.subjectOptimal transporten
dc.subject.ddc515en
dc.titleBarycenters in the Wasserstein spaceen
dc.typeArticle accepté pour publication ou publié
dc.contributor.editoruniversityotherDepartment of Mathematics and Statistics (DMS) University of Victoria;Canada
dc.description.abstractenIn this paper, we introduce a notion of barycenter in the Wasserstein space which generalizes McCann's interpolation to the case of more than two measures. We provide existence, uniqueness, characterizations and regularity of the barycenter, and relate it to the multimarginal optimal transport problem considered by Gangbo and 'Swi¸ech in [8]. We also consider some examples and in particular rigorously solve the gaussian case. We finally discuss convexity of functionals in the Wasserstein space.en
dc.relation.isversionofjnlnameSIAM Journal on Mathematical Analysis
dc.relation.isversionofjnlvol43en
dc.relation.isversionofjnlissue2en
dc.relation.isversionofjnldate2011
dc.relation.isversionofjnlpages904-924en
dc.relation.isversionofdoihttp://dx.doi.org/10.1137/100805741en
dc.identifier.urlsitehttp://hal.archives-ouvertes.fr/hal-00637399/fr/en
dc.description.sponsorshipprivateouien
dc.relation.isversionofjnlpublisherSociety for Industrial and Applied Mathematicsen
dc.subject.ddclabelanalyseen


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