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Optimal transport maps on infinite dimensional spaces

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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.

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Authors and Affiliations

  1. I.M.B., Université de Bourgogne, BP 47870, Dijon, France

    Shizan Fang & Vincent Nolot

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  1. Shizan Fang
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  2. Vincent Nolot
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Correspondence to Shizan Fang.

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In memory of Denis Feyel

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Fang, S., Nolot, V. Optimal transport maps on infinite dimensional spaces. Front. Math. China 10, 715–732 (2015). https://doi.org/10.1007/s11464-015-0474-y

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  • DOI: https://doi.org/10.1007/s11464-015-0474-y

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