Concentration of mass on convex bodies Academic Article uri icon

abstract

  • We establish sharp concentration of mass inequality 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 ε K:||x|| 2 ≥ c√nLKt}) ≤ exp (-√nt) for every t ≥ 1, where L K denotes the isotropic constant. © Birkhäuser Verlag, Basel 2006.

author list (cited authors)

  • Paouris, G.

citation count

  • 122

publication date

  • December 2006