On a problem of optimal mixing
Probability
2024-11-26 v1
Abstract
We consider the simultaneous optimal transportation of measures, where the target marginal is not necessarily fixed. For this problem, we prove the existence of a solution for completely regular spaces and investigate the structure of the discrete problem. We establish a connection between the Monge problem and the Kantorovich problem by showing that their functionals are equal and that the solutions coincide in Euclidean space.
Cite
@article{arxiv.2411.16651,
title = {On a problem of optimal mixing},
author = {Kirill Sokolov},
journal= {arXiv preprint arXiv:2411.16651},
year = {2024}
}
Comments
11 pages