Central limit theorems for Gaussian polytopes

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dc.creatorBarany, I.
dc.creatorVu, V. H.
dc.date2006-10-05
dc.date.accessioned2026-07-07T07:28:46Z
dc.date.available2026-07-07T07:28:46Z
dc.descriptionChoose $n$ random, independent points in $\R^d$ according to the standard normal distribution. Their convex hull $K_n$ is the {\sl Gaussian random polytope}. We prove that the volume and the number of faces of $K_n$ satisfy the central limit theorem, settling a well known conjecture in the field.
dc.descriptionto appear in Annals of Probability
dc.identifierhttps://arxiv.org/abs/math/0610192
dc.identifierhttp://arxiv.org/abs/math/0610192
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/117852
dc.subjectCombinatorics
dc.subjectProbability
dc.titleCentral limit theorems for Gaussian polytopes
dc.typetext

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