Existence of optimal transport maps for crystalline norms

Existence of optimal transport maps for crystalline norms

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We show the existence of optimal transport maps in the case when the cost function is the distance induced by a crystalline norm in ℝn, assuming that the initial distribution of mass is absolutely continuous with respect to ℒn. The proof is based on a careful decomposition of the space in transport...

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Bibliografiske detaljer
Main Authors:	Ambrosio, L, Kirchheim, B, Pratelli, A
Format:	Journal article
Sprog:	English
Udgivet:	2004

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