Mathematics – Metric Geometry
Scientific paper
1996-05-20
Mathematics
Metric Geometry
Scientific paper
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.
Litvak Alexander E.
Milman Vitali D.
Pajor Alain
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