Almost sharp rates of convergence for the average cost and displacement in the optimal matching problem
Résumé
In this note we prove estimates for the average cost in the quadratic optimal transport problem on the two-dimensional flat torus which are optimal up to a double logarithm. We also prove sharp estimates on the displacement. This is based on the combination of a post-processing of our quantitative linearization result together with a quasi-orthogonality property.
Domaines
Mathématiques [math]| Origine | Fichiers produits par l'(les) auteur(s) |
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