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Infinite-body optimal transport with Coulomb cost

We introduce and analyze symmetric infinite-body optimal transport (OT) problems with cost function of pair potential form. We show that for a natural class of such costs, the optimizer is given by the independent product measure all of whose factors are given by the one-body marginal. This is in st...

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Detalles Bibliográficos
Autores principales: Cotar, Codina, Friesecke, Gero, Pass, Brendan
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer Berlin Heidelberg 2014
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7010387/
https://www.ncbi.nlm.nih.gov/pubmed/32103864
http://dx.doi.org/10.1007/s00526-014-0803-0

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