Equivalence of the Poincaré inequality with a transport-chi-square inequality in dimension one
Résumé
In this paper, we prove that, in dimension one, the Poincaré inequality is equivalent to a new transport-chi-square inequality linking the square of the quadratic Wasserstein distance with the chi-square pseudo-distance. We also check tensorization of this transport-chi-square inequality.
Domaines
Probabilités [math.PR]Origine | Fichiers produits par l'(les) auteur(s) |
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