Grand-Canonical Optimal Transport

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 th...

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Bibliographic Details
Published in:Archive for rational mechanics and analysis 2024
Main Authors: Di Marino, Simone, Lewin, Mathieu, Nenna, Luca
Format: Article
Language:English
Subjects:
Condensed Matter
Mathematical Physics
Mathematics
Optimization and Control
Physics
Statistical Mechanics
Online Access:Get full text
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Summary: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.
ISSN:0003-9527
1432-0673