Concentration of mass on isotropic convex bodies Academic Article uri icon

abstract

  • 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.

published proceedings

  • Comptes Rendus Mathematique

author list (cited authors)

  • Paouris, G.

citation count

  • 17

complete list of authors

  • Paouris, Grigoris

publication date

  • February 2006