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Existence and uniqueness of optimal maps on Alexandrov spaces |
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| Authors: | Jérôme Bertrand |
| Institution: | Institut de Mathématiques, Université Paul Sabatier, 118 route de Narbonne, F31062 Cedex 4 Toulouse, France |
| 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. |
| Keywords: | Optimal mass transport Alexandrov spaces |
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