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ERC Workshop on Optimal Transportation and Applications

Partial Regularity of Optimal Transport Maps

speaker: Guido De Philippis (SISSA, Trieste e New York University)

abstract: We prove that for general smooth cost functions on the Euclidean space, or for the cost given by the squared distance on a Riemannian manifold, optimal transport maps between smooth densities are smooth outside a closed set of measure zero.(Joint work with Alessio Figalli)

timetable:
Thu 8 Nov, 14:30 - 15:20, Aula Dini
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