On the hyperplane conjecture for random convex sets
度量几何
2007-05-23 v1 概率论
摘要
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.
引用
@article{arxiv.math/0612517,
title = {On the hyperplane conjecture for random convex sets},
author = {Bo'az Klartag and Gady Kozma},
journal= {arXiv preprint arXiv:math/0612517},
year = {2007}
}
备注
14 pages