On the hyperplane conjecture for random convex sets

Details On the hyperplane conjecture for random convex sets On the hyperplane conjecture for random convex sets

2006-12-18

arxiv.org/abs/math/0612517v1

Mathematics

Metric Geometry

14 pages

Scientific paper

Let N > n, and denote by K the convex hull of N independent standard gaussian
random vectors in an n-dimensional Euclidean space. We prove that with high
probability, the isotropic constant of K is bounded by a universal constant.
Thus we verify the hyperplane conjecture for the class of gaussian random
polytopes.

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