On the marginals of product measures

Stochastics Seminar
Monday, June 15, 2015 - 14:00
1 hour (actually 50 minutes)
Skiles 005
Kent State University
It was shown by Keith Ball that the maximal section of an n-dimensional cube is \sqrt{2}. We show the analogous sharp bound for a maximal marginal of a product measure with bounded density. We also show an optimal bound for all k-codimensional marginals in this setting, conjectured by Rudelson and Vershynin. This talk is based on the joint work with G. Paouris and P. Pivovarov.