An e-regularity result for optimal transport maps between continuous densities

Michael Goldman

doi:10.4171/RLM/922

An e-regularity result for optimal transport maps between continuous densities

Michael Goldman

Laboratoire de Probabilités et Modèles Aléatoires

Résultats de recherche: Contribution à un journal › Article › Revue par des pairs

Résumé

The aim of this short note is to extend the recent variational proof of partial regularity for optimal transport maps to the case of continuous densities.

langue originale	Anglais
Pages (de - à)	971-979
Nombre de pages	9
journal	Atti della Accademia Nazionale dei Lincei, Classe di Scienze Fisiche, Matematiche e Naturali, Rendiconti Lincei Matematica e Applicazioni
Volume	31
Numéro de publication	4
Les DOIs	https://doi.org/10.4171/RLM/922
état	Publié - 1 janv. 2020
Modification externe	Oui

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10.4171/RLM/922

Contient cette citation

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title = "An e-regularity result for optimal transport maps between continuous densities",

abstract = "The aim of this short note is to extend the recent variational proof of partial regularity for optimal transport maps to the case of continuous densities.",

keywords = "Monge-Amp{\`e}re equation, Optimal transport, Partial regularity",

author = "Michael Goldman",

year = "2020",

month = jan,

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doi = "10.4171/RLM/922",

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An e-regularity result for optimal transport maps between continuous densities. / Goldman, Michael.
Dans: Atti della Accademia Nazionale dei Lincei, Classe di Scienze Fisiche, Matematiche e Naturali, Rendiconti Lincei Matematica e Applicazioni, Vol 31, Numéro 4, 01.01.2020, p. 971-979.

Résultats de recherche: Contribution à un journal › Article › Revue par des pairs

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PY - 2020/1/1

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N2 - The aim of this short note is to extend the recent variational proof of partial regularity for optimal transport maps to the case of continuous densities.

AB - The aim of this short note is to extend the recent variational proof of partial regularity for optimal transport maps to the case of continuous densities.

KW - Monge-Ampère equation

KW - Optimal transport

KW - Partial regularity

U2 - 10.4171/RLM/922

DO - 10.4171/RLM/922

M3 - Article

AN - SCOPUS:85102515250

SN - 1120-6330

VL - 31

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JO - Atti della Accademia Nazionale dei Lincei, Classe di Scienze Fisiche, Matematiche e Naturali, Rendiconti Lincei Matematica e Applicazioni

JF - Atti della Accademia Nazionale dei Lincei, Classe di Scienze Fisiche, Matematiche e Naturali, Rendiconti Lincei Matematica e Applicazioni

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An e-regularity result for optimal transport maps between continuous densities

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