Frontiers of Mathematics in China >
Optimal transport maps on infinite dimensional spaces
Received date: 02 Feb 2015
Accepted date: 11 Feb 2015
Published date: 05 Jun 2015
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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.
Key words: Girsanov theorem; entropy; optimal transport map; Wiener space; Lebesgue point
Shizan FANG , Vincent NOLOT . Optimal transport maps on infinite dimensional spaces[J]. Frontiers of Mathematics in China, 2015 , 10(4) : 715 -732 . DOI: 10.1007/s11464-015-0474-y
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