On the hyperplane conjecture for random convex sets

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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.
14 pages

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Metric Geometry, Probability, 52A20 (52A38, 46B07)

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http://salesiana.dossiersoluciones.com/handle/123456789/120186

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0612517
 http://arxiv.org/abs/math/0612517

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arXiv