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Published online: 2009-12-23
Arbeitsgemeinschaft: Optimal Transport and GeometryFelix Otto and Karl-Theodor Sturm (1) MPI für Mathematik in den Naturwissenschaften, Leipzig, Germany
(2) Universität Bonn, Germany
This Arbeitsgemeinschaft was devoted to recent developments in optimal transport with emphasis on links and applications to geometry. The topics reached from the origin of optimal transport as a variational problem, where one minimizes a transportation cost when transporting one density into another, over the introduction of a metric on the space of probability measures, leading to the Wasserstein-space and convex funtionals on it, to the connection between Ricci-curvature and the optimal mass transport problem.
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Otto Felix, Sturm Karl-Theodor: Arbeitsgemeinschaft: Optimal Transport and Geometry. Oberwolfach Rep. 6 (2009), 983-1018. doi: 10.4171/OWR/2009/18