Thin-shell concentration for convex measures
Matthieu Fradelizi ; Olivier Guédon ; Alain Pajor
Studia Mathematica, Tome 223 (2014), p. 123-148 / Harvested from The Polish Digital Mathematics Library
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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.

Publié le : 2014-01-01
EUDML-ID : urn:eudml:doc:285659 
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Matthieu Fradelizi; Olivier Guédon; Alain Pajor. Thin-shell concentration for convex measures. Studia Mathematica, Tome 223 (2014) pp. 123-148. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm223-2-2/