Bounds on optimal transport maps onto log-concave measures

Author:

Colombo MariaORCID,Fathi Max

Funder

Schweizerischer Nationalfonds zur Förderung der Wissenschaftlichen Forschung

Publisher

Elsevier BV

Subject

Analysis,Applied Mathematics

Reference28 articles.

1. On Isoperimetric Constants for Log-Concave Probability Distributions. Geometric Aspects of Functional Analysis;Bobkov,2007

2. Polar factorization and monotone rearrangement of vector-valued functions;Brenier;Commun. Pure Appl. Math.,1991

3. Monotonicity properties of optimal transportation and the FKG and related inequalities;Caffarelli;Commun. Math. Phys.,2000

4. On the Poincaré constant of log-concave measures;Cattiaux,2019

5. Lipschitz changes of variables between perturbations of log-concave measures;Colombo;Ann. Sc. Norm. Super. Pisa, Cl. Sci.,2017

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