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Hölder continuity for optimal multivalued mappings

Published 20 Jul 2010 in math.AP and math.OC | (1007.3395v1)

Abstract: Gangbo and McCann showed that optimal transportation between hypersurfaces generally leads to multivalued optimal maps - bivalent when the target surface is strictly convex. In this paper we quantify H\"older continuity of the bivalent map optimizing average distance squared between arbitrary measures supported on Euclidean spheres.

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