On the marginals of product measures

Series
Stochastics Seminar
Time
Monday, June 15, 2015 - 2:00pm for 1 hour (actually 50 minutes)
Location
Skiles 005
Speaker
Galyna Livshyts – Kent State University
Organizer
Karim Lounici
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.