On symmetric versions of Sylvester's problem

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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 moments of the normalized volume of a symmetric or nonsymmetric random polytope in a fixed symmetric convex body. We investigate for which bodies these moments are extremized, and calculate exact values in some of the extreme cases. We show that these moments are maximized among planar convex bodies by parallelograms.
dc.descriptionAMS-LaTeX
dc.identifierhttps://arxiv.org/abs/math/0305411
dc.identifierhttp://arxiv.org/abs/math/0305411
dc.identifierMonatsh. Math. 145 no. 4, 307-319 (2005)
dc.identifierdoi:10.1007/s00605-005-0300-9
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/67607
dc.subjectMetric Geometry
dc.subjectProbability
dc.subject50A22; 50A40, 60D05
dc.titleOn symmetric versions of Sylvester's problem
dc.typetext

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