Covering numbers and ``low $M^{*}$-estimate'' for quasi-convex bodies
Metric Geometry
2008-02-03 v1 Functional Analysis
Abstract
This article gives estimates on covering numbers and diameters of random proportional sections and projections of symmetric quasi-convex bodies in . These results were known for the convex case and played an essential role in development of the theory. Because duality relations can not be applied in the quasi-convex setting, new ingredients were introduced that give new understanding for the convex case as well.
Cite
@article{arxiv.math/9605223,
title = {Covering numbers and ``low $M^{*}$-estimate'' for quasi-convex bodies},
author = {A. E. Litvak and V. D. Milman and A. Pajor},
journal= {arXiv preprint arXiv:math/9605223},
year = {2008}
}