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On the Monotonicity of Optimal Transportation Plans

  • Published:1997-11 Issue:1 Volume:215 Page:86-94
  • ISSN:0022-247X
  • Container-title:Journal of Mathematical Analysis and Applications
  • language:en
  • Short-container-title:Journal of Mathematical Analysis and Applications

Author:

Cuesta-Albertos J.A.,Matrán C.,Tuero-Dı́az A.

Publisher

Elsevier BV

Subject

Applied Mathematics,Analysis

Reference15 articles.

1. Nonlinear Semigroups and Differential Equations in Banach Spaces;Barbu,1976

2. Probability and Measure;Billingsley,1986

3. Notes on the Wasserstein metric in Hilbert spaces;Cuesta-Albertos;Ann. Probab.,1989

4. Optimal transportation plans and convergence in distribution;Cuesta-Albertos;J. Multivariate Anal.,1997

5. J. A. Cuesta-Albertos, C. Matrán, A. Tuero-Diaz, 1996, Properties of the Optimal Maps for theL2

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1. On the pythagorean structure of the optimal transport for separable cost functions;Rendiconti Lincei, Matematica e Applicazioni;2024-01-17

2. On the Structure of Optimal Transportation Plans between Discrete Measures;Applied Mathematics & Optimization;2022-05-10

3. Law Invariant Convex Risk Measures on $$L_{d}^{p}$$ and Optimal Mass Transportation;Springer Series in Operations Research and Financial Engineering;2012-08-30

4. Uniqueness and approximate computation of optimal incomplete transportation plans;Annales de l'Institut Henri Poincaré, Probabilités et Statistiques;2011-05-01

5. Free boundaries in optimal transport and Monge-Ampère obstacle problems;Annals of Mathematics;2010-03-25
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