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On the sufficiency ofc-cyclical monotonicity for optimality of transport plans

✍ Scribed by A. Pratelli


Book ID
105875129
Publisher
Springer-Verlag
Year
2007
Tongue
French
Weight
273 KB
Volume
258
Category
Article
ISSN
0025-5874

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On the Monotonicity of Optimal Transport
✍ J.A. Cuesta-Albertos; C. MatrΓ‘n; A. Tuero-Dı́az πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 196 KB

We obtain analytical properties of the maps that give optimal transportation plans for the L 2 -Wasserstein distance. We take advantage of the monotonicity of such optimal transportation plans to discuss their measurability and continuity. As Ε½ a main result of independent interest we obtain the a.e