Thin-shell concentration for convex measures
Résumé
We prove that for s<0, s-concave measures on Rn exhibit thin-shell concentration similar to the log-concave case. This leads to a Berry–Esseen type estimate for most of their one-dimensional marginal distributions. We also establish sharp reverse Hölder inequalities for s-concave measures.
Domaines
Analyse fonctionnelle [math.FA]| Origine | Fichiers éditeurs autorisés sur une archive ouverte |
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