Publication

Continuity Of Multimarginal Optimal Transport With Repulsive Cost

Maria Colombo, Maria Carola Colombo, Federico Stra
2019
Journal Articles

Abstract

We provide sharp conditions for the finiteness and the continuity of multimarginal optimal transport with repulsive cost, expressed in terms of a suitable concentration property of the measure. To achieve this result, we analyze the Kantorovich potentials of the optimal plans, and we estimate the distance of any optimal plan from the regions where the cost is infinite.

Official source

https://infoscience.epfl.ch/entities/publication/99b9c6f6-1f96-4371-876a-be0ffacb1b45

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Continuity Of Multimarginal Optimal Transport With Repulsive Cost

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