Grand-Canonical Optimal Transport
Optimization and Control
2025-01-15 v4 Statistical Mechanics
Mathematical Physics
math.MP
Abstract
We study a generalization of the multi-marginal optimal transport problem, which has no fixed number of marginals and is inspired of statistical mechanics. It consists in optimizing a linear combination of the costs for all the possible 's, while fixing a certain linear combination of the corresponding marginals.
Cite
@article{arxiv.2201.06859,
title = {Grand-Canonical Optimal Transport},
author = {Simone Di Marino and Mathieu Lewin and Luca Nenna},
journal= {arXiv preprint arXiv:2201.06859},
year = {2025}
}
Comments
Final version, to appear in Arch. Rat. Mech. Anal