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 n, then Prob({x K:||x|| 2 cnLKt}) exp (-nt) for every t 1, where L K denotes the isotropic constant. Birkhuser Verlag, Basel 2006.

published proceedings

  • GEOMETRIC AND FUNCTIONAL ANALYSIS

author list (cited authors)

  • Paouris, G.

citation count

  • 148

complete list of authors

  • Paouris, G

publication date

  • December 2006