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arXiv · 1006.3917

A Remark on the Potentials of Optimal Transport Maps

Paul W. Y. Lee
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Abstract

Optimal maps, solutions to the optimal transportation problems, are completely determined by the corresponding c-convex potential functions. In this paper, we give simple sufficient conditions for a smooth function to be c-convex when the cost is given by minimizing a Lagrangian action.

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Paul W. Y. Lee. 2010-06-20. A Remark on the Potentials of Optimal Transport Maps. https://arxiv.org/abs/1006.3917

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