Random matrices with independent log-concave columns

Series: 
Stochastics Seminar
Thursday, November 11, 2010 - 15:05
1 hour (actually 50 minutes)
Location: 
Skiles 002
,  
University of Warsaw and Fields Institute
I will discuss certain geometric properties of random matrices with independent logarithmically concave columns, obtained in the last several years jointly with O. Guedon, A. Litvak, A. Pajor and N. Tomczak-Jaegermann. In particular I will discuss estimates on the largest and smallest singular values of such matrices and rates on convergence of empirical approximations to covariance matrices of log-concave measures (the Kannan-Lovasz-Simonovits problem).