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arXiv · 1007.3395

H\"older continuity for optimal multivalued mappings

Robert J. McCann·Maria Sosio
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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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Robert J. McCann, Maria Sosio. 2010-07-20. H\"older continuity for optimal multivalued mappings. https://arxiv.org/abs/1007.3395

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