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arXiv · 2411.16651

On a problem of optimal mixing

Kirill Sokolov
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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.

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Kirill Sokolov. 2024-11-25. On a problem of optimal mixing. https://arxiv.org/abs/2411.16651

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