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A note on Monge–Kantorovich problem

✍ Scribed by Feng, Pengbin; Peng, Xuhui


Book ID
122218793
Publisher
Elsevier Science
Year
2014
Tongue
English
Weight
385 KB
Volume
84
Category
Article
ISSN
0167-7152

No coin nor oath required. For personal study only.


📜 SIMILAR VOLUMES


On a Problem of Monge
✍ L. V. Kantorovich 📂 Article 📅 2006 🏛 Springer US 🌐 English ⚖ 248 KB
Optimal maps for the multidimensional Mo
✍ Wilfrid Gangbo; Andrzej Święch 📂 Article 📅 1998 🏛 John Wiley and Sons 🌐 English ⚖ 261 KB

Let µ1, . . . , µN be Borel probability measures on R d . Denote by Γ(µ1, . . . , µN ) the set of all N -tuples T = (T1, . . . , TN ) such that Ti : R d → R d (i = 1, . . . , N) are Borel-measurable and satisfy µ1[T -1 i (V )] = µi[V ] for all Borel V ⊂ R d . The multidimensional Monge-Kantorovich p