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

Research output: Contribution to journal › Article › peer-review

Abstract

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.

Original language	English
Article number	12
Journal	Archive for Rational Mechanics and Analysis
Volume	249
Issue number	1
DOIs	https://doi.org/10.1007/s00205-024-02080-x
Publication status	Published - 1 Feb 2025
Externally published	Yes

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Grand-Canonical Optimal Transport

Abstract

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