Random matrices with independent log-concave columns

Series
Stochastics Seminar
Time
Thursday, November 11, 2010 - 3:05pm for 1 hour (actually 50 minutes)
Location
Skiles 002
Speaker
Radoslaw Adamczak – University of Warsaw and Fields Institute
Organizer
Yuri Bakhtin
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).