Calculus of Variations and Geometric Measure Theory

S. Di Marino - M. Lewin - L. Nenna

Grand-Canonical Optimal Transport

created by nenna on 19 Jan 2022

[BibTeX]

Preprint

Inserted: 19 jan 2022
Last Updated: 19 jan 2022

Year: 2022

ArXiv: 2201.06859 PDF

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.


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