17 Dec
2013
17 Dec
'13
11:34 a.m.
This is an announcement for the paper "A remark on the diameter of random sections of convex bodies" by Shahar Mendelson.
Abstract: We obtain a new upper estimate on the Euclidean diameter of the intersection of the kernel of a random matrix with iid rows with a given convex body. The proof is based on a small-ball argument rather than on concentration and thus the estimate holds for relatively general matrix ensembles.
Archive classification: math.FA
Submitted from: shahar.mendelson@anu.edu.au
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/1312.3608
or