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Multi-to One-Dimensional Optimal Transport

  • Published:2017-07-13 Issue:12 Volume:70 Page:2405-2444
  • ISSN:0010-3640
  • Container-title:Communications on Pure and Applied Mathematics
  • language:en
  • Short-container-title:Comm. Pure Appl. Math.

Author:

Chiappori Pierre-André1,McCann Robert J.2,Pass Brendan3

Affiliation:

1. Department of Economics Columbia; University 1009A International Affairs Building, 420 West 118th St; New York NY 10027 USA

2. Department of Mathematics; University of Toronto Bahen Centre, 40 St. George St., Room 6290; Toronto Ontario M5S 2E4 CANADA

3. Department of Mathematical and Statistical; Sciences University of Alberta; Edmonton Alberta T6G 2G1 CANADA

Publisher

Wiley

Subject

Applied Mathematics,General Mathematics

Reference56 articles.

1. Optimal transportation, topology and uniqueness;Ahmad;Bull. Math. Sci.,2011

2. A general chain rule for distributional derivatives;Ambrosio;Proc. Amer. Math. Soc.,1990

3. A theory of marriage. Part I;Becker;J. Political Econom.,1973

4. Décomposition polaire et réarrangement monotone des champs de vecteurs;Brenier;C. R. Acad. Sci. Paris Sér. I Math.,1987

5. The regularity of mappings with a convex potential;Caffarelli;J. Amer. Math. Soc.,1992

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