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arXiv · 1907.07900

Multi-marginal Entropy-Transport with repulsive cost

Augusto Gerolin·Anna Kausamo·Tapio Rajala
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Abstract

In this paper we study theoretical properties of the entropy-transport functional with repulsive cost functions. We provide sufficient conditions for the existence of a minimizer in a class of metric spaces and prove the $\Gamma$-convergence of the entropy-transport functional to a multi-marginal optimal transport problem with a repulsive cost. We also prove the entropy-regularized version of the Kantorovich duality.

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Augusto Gerolin, Anna Kausamo, Tapio Rajala. 2019-07-18. Multi-marginal Entropy-Transport with repulsive cost. https://arxiv.org/abs/1907.07900

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