$_{}$-estimates for marginals of log-concave probability measures Academic Article uri icon

abstract

  • We show that a random marginal F () of an isotropic log-concave probability measure on R n exhibits better -behavior. For a natural variant ' of the standard -norm we show the following: (i) If k n, then for a random F G n,k we have that F () is a ' 2- measure. We complement this result by showing that a random F () is, at the same time, super-Gaussian. (ii) If k = n , 1/2 < < 1, then for a random F G n,k we have that F () is a ' ()-measure, where () = 2/3-1. 2011 American Mathematical Society.

published proceedings

  • Proceedings of the American Mathematical Society

author list (cited authors)

  • Giannopoulos, A., Paouris, G., & Valettas, P.

citation count

  • 4

complete list of authors

  • Giannopoulos, A||Paouris, G||Valettas, P

publication date

  • April 2012