Covering numbers and ``low $M^{*}$-estimate'' for quasi-convex bodies

Litvak, A. E.; Milman, V. D.; Pajor, A.

Covering numbers and ``low $M^{*}$-estimate'' for quasi-convex bodies

Authors

Litvak, A. E.

Milman, V. D.

Pajor, A.

Description

This article gives estimates on covering numbers and diameters of random proportional sections and projections of symmetric quasi-convex bodies in $\mathbb R$. 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.