Between Paouris concentration inequality and variance conjecture
Fleury, B.
Ann. Inst. H. Poincaré Probab. Statist., Tome 46 (2010) no. 1, p. 299-312 / Harvested from Project Euclid
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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.
Publié le : 2010-05-15
Classification:  Concentration inequalities,  Convex bodies,  46B07,  46B09 
@article{1273584125,
     author = {Fleury, B.},
     title = {Between Paouris concentration inequality and variance conjecture},
     journal = {Ann. Inst. H. Poincar\'e Probab. Statist.},
     volume = {46},
     number = {1},
     year = {2010},
     pages = { 299-312},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1273584125}
}

Fleury, B. Between Paouris concentration inequality and variance conjecture. Ann. Inst. H. Poincaré Probab. Statist., Tome 46 (2010) no. 1, pp.  299-312. http://gdmltest.u-ga.fr/item/1273584125/