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On random intersections of two convex bodies. Appendix to: "Isoperimetry of waists and
local versus global asymptotic convex geometries" by R.Vershynin
Published Web Location
https://arxiv.org/pdf/math/0404502.pdfNo data is associated with this publication.
Abstract
In the paper "Isoperimetry of waists and local versus global asymptotic convex geometries", it was proved that the existence of nicely bounded sections of two symmetric convex bodies K and L implies that the intersection of randomly rotated K and L is nicely bounded. In this appendix, we achieve a polynomial bound on the diameter of that intersection (in the ratio of the dimensions of the sections).