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arXiv · 0705.0437

Existence and uniqueness of optimal maps on Alexandrov spaces

Jerome Bertrand
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Abstract

The purpose of this paper is to show that in a finite dimensional metric space with Alexandrov's curvature bounded below, Monge's transport problem for the quadratic cost admits a unique solution.

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Jerome Bertrand. 2007-05-03. Existence and uniqueness of optimal maps on Alexandrov spaces. https://arxiv.org/abs/0705.0437

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