Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9496005 | Journal of Functional Analysis | 2005 | 23 Pages |
Abstract
Sharpening work of the first two authors, for every proportion λâ(0,1) we provide exact quantitative relations between global parameters of n-dimensional symmetric convex bodies and the diameter of their random âλnâ-dimensional sections. Using recent results of Gromov and Vershynin, we obtain an “asymptotic formula” for the diameter of random proportional sections.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Apostolos Giannopoulos, Vitali D. Milman, Antonis Tsolomitis,