Concentration of mass on isotropic convex bodies
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We establish sharp concentration of mass for isotropic convex bodies: there exists an absolute constant c > 0 such that if K is an isotropic convex body in n, then Prob ({x K: x2 cn LKt}) exp(-nt) for every t 1, where LK denotes the isotropic constant. 2005 Acadmie des sciences. Published by Elsevier SAS. All rights reserved.