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 ℝn, then Prob ({x ∈ K: ∥x∥2 ≥ c√n LKt}) ≤ exp(-√nt) for every t ≥ 1, where LK denotes the isotropic constant. © 2005 Académie des sciences. Published by Elsevier SAS. All rights reserved.

author list (cited authors)

  • Paouris, G.

citation count

  • 16

publication date

  • February 2006