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



Inserted: 19 jan 2022
Last Updated: 19 jan 2022

Year: 2022

ArXiv: 2201.06859 PDF


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.