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

A. E. Litvak·V. D. Milman·A. Pajor
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Abstract

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.

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A. E. Litvak, V. D. Milman, A. Pajor. 1996-05-20. Covering numbers and ``low $M^{*}$-estimate'' for quasi-convex bodies. https://arxiv.org/abs/math/9605223

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