This is an announcement for the paper "Order statistics and concentration of l_r norms for log-concave vectors" by Rafal Latala.
Abstract: We establish upper bounds for tails of order statistics of isotropic log-concave vectors and apply them to derive a concentration of l_r norms of such vectors.
Archive classification: math.PR math.FA
Mathematics Subject Classification: 60E15 (52A38, 60B11)
Remarks: 17 pages
Submitted from: rlatala@mimuw.edu.pl
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/1011.6610
or