𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Notes on optimal transportation

✍ Scribed by Ivar Ekeland

Book ID
105866907
Publisher
Springer
Year
2008
Tongue
English
Weight
238 KB
Volume
42
Category
Article
ISSN
0938-2259

No coin nor oath required. For personal study only.

πŸ“œ SIMILAR VOLUMES

On the Monotonicity of Optimal Transport
On the Monotonicity of Optimal Transportation Plans
✍ 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