Grand-Canonical Optimal Transport

Simone Di Marino, Mathieu Lewin, Luca Nenna

Research output: Contribution to journalArticlepeer-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 languageEnglish
Article number12
JournalArchive for Rational Mechanics and Analysis
Volume249
Issue number1
DOIs
Publication statusPublished - 1 Feb 2025
Externally publishedYes

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