Grand-Canonical Optimal Transport

Simone Di Marino; Mathieu Lewin; Luca Nenna

doi:10.1007/s00205-024-02080-x

Grand-Canonical Optimal Transport

Simone Di Marino
, Mathieu Lewin
, Luca Nenna

University of Genoa
Université Paris Dauphine
Laboratoire de Mathématiques d'Orsay

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

Résumé

We study a generalization of the multi-marginal optimal transport problem, which has no fixed number of marginals N and is inspired of statistical mechanics. It consists in optimizing a linear combination of the costs for all the possible N’s, while fixing a certain linear combination of the corresponding marginals.

langue originale	Anglais
Numéro d'article	12
journal	Archive for Rational Mechanics and Analysis
Volume	249
Numéro de publication	1
Les DOIs	https://doi.org/10.1007/s00205-024-02080-x
état	Publié - 1 févr. 2025
Modification externe	Oui

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10.1007/s00205-024-02080-x

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Grand-Canonical Optimal Transport

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