Title: Optimal transport maps on infinite dimensional spaces.
Authors: Fang, Shizan; Nolot, Vincent
Abstract: We will give a survey on results concerning Girsanov transformations, transportation cost inequalities, convexity of entropy, and optimal transport maps on some infinite dimensional spaces. Some open Problems will be arisen.
Subjects: MATHEMATICAL inequalities; CONVEX domains; POINT set theory; CONVEX bodies; SUPERADDITIVITY
Publication: Frontiers of Mathematics in China, 2015, Vol 10, Issue 4, p715
ISSN: 1673-3452
Publication type: Academic Journal
DOI: 10.1007/s11464-015-0474-y

Optimal transport maps on infinite dimensional spaces.

Fang, Shizan; Nolot, Vincent