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arXiv · 1805.00880

Duality theory for multi-marginal optimal transport with repulsive costs in metric spaces

Augusto Gerolin·Anna Kausamo·Tapio Rajala
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Abstract

In this paper we extend the duality theory of the multi-marginal optimal transport problem for cost functions depending on a decreasing function of the distance (not necessarily bounded). This class of cost functions appears in the context of SCE Density Functional Theory introduced in "Strong-interaction limit of density-functional theory" by M. Seidl.

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Augusto Gerolin, Anna Kausamo, Tapio Rajala. 2018-05-02. Duality theory for multi-marginal optimal transport with repulsive costs in metric spaces. https://arxiv.org/abs/1805.00880

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