Volumes of symmetric random polytopes

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dc.creatorMeckes, Mark W.
dc.date2003-05-28
dc.date.accessioned2026-07-07T04:58:22Z
dc.date.available2026-07-07T04:58:22Z
dc.descriptionWe consider the moments of the volume of the symmetric convex hull of independent random points in an $n$-dimensional symmetric convex body. We calculate explicitly the second and fourth moments for $n$ points when the given body is $B_q^n$ (and all of the moments for the case $q = 2$), and derive from these the asymptotic behavior of the expected volume of a random simplex in those bodies.
dc.descriptionAMS-LaTeX
dc.identifierhttps://arxiv.org/abs/math/0305410
dc.identifierhttp://arxiv.org/abs/math/0305410
dc.identifierArch. Math. 82 (2004) no. 1, 85-96
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/67606
dc.subjectMetric Geometry
dc.subjectProbability
dc.subject52A22; 60D05
dc.titleVolumes of symmetric random polytopes
dc.typetext

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