Between Paouris concentration inequality and variance conjecture
Annales de l'I.H.P. Probabilités et statistiques, Tome 46 (2010) no. 2, pp. 299-312.

Nous prouvons une inégalité inverse Hölder presque isométrique pour la norme euclidienne sur une boule d'Orlicz généralisée isotrope qui interpole l'inégalité de concentration de Paouris et la conjecture de la variance. Nous étudions dans ce sens le cas des corps convexes isotropes à base inconditionnelle et celui des corps convexes généraux.

We prove an almost isometric reverse Hölder inequality for the euclidean norm on an isotropic generalized Orlicz ball which interpolates Paouris concentration inequality and variance conjecture. We study in this direction the case of isotropic convex bodies with an unconditional basis and the case of general convex bodies.

DOI : 10.1214/09-AIHP315
Classification : 46B07, 46B09
Mots-clés : concentration inequalities, convex bodies 
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     title = {Between {Paouris} concentration inequality and variance conjecture},
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     publisher = {Gauthier-Villars},
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Fleury, B. Between Paouris concentration inequality and variance conjecture. Annales de l'I.H.P. Probabilités et statistiques, Tome 46 (2010) no. 2, pp. 299-312. doi : 10.1214/09-AIHP315. http://www.numdam.org/articles/10.1214/09-AIHP315/

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