arXiv 1007.33952010-07-20math.APmath.OC

Hölder continuity for optimal multivalued mappings

Robert J. McCann, Maria Sosio

备注：: 21 pages

英文摘要：

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 Hölder continuity of the bivalent map optimizing average distance squared between arbitrary measures supported on Euclidean spheres.

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