On the hyperplane conjecture for random convex sets

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dc.creatorKlartag, Bo'az
dc.creatorKozma, Gady
dc.date2006-12-18
dc.date.accessioned2026-07-07T07:35:43Z
dc.date.available2026-07-07T07:35:43Z
dc.descriptionLet 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.
dc.description14 pages
dc.identifierhttps://arxiv.org/abs/math/0612517
dc.identifierhttp://arxiv.org/abs/math/0612517
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/120186
dc.subjectMetric Geometry
dc.subjectProbability
dc.subject52A20 (52A38, 46B07)
dc.titleOn the hyperplane conjecture for random convex sets
dc.typetext

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