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On robustness of optimal balanced resolution v plans

✍ Scribed by Subir Ghosh


Publisher
Elsevier Science
Year
1980
Tongue
English
Weight
740 KB
Volume
4
Category
Article
ISSN
0378-3758

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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