The mean width of circumscribed random polytopes

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dc.creatorBöröczky, Károly J.
dc.creatorSchneider, Rolf
dc.date2009-01-21
dc.date.accessioned2026-07-07T12:32:37Z
dc.date.available2026-07-07T12:32:37Z
dc.descriptionFor a given convex body K in $R^d$, a random polytope $K^{(n)}$ is defined (essentially) as the intersection of $n$ independent closed halfspaces containing $K$ and having an isotropic and (in a specified sense) uniform distribution. We prove upper and lower bounds, of optimal orders, for the difference of the mean widths of $K^{(n)}$ and K, as n tends to infinity. For a simplicial polytope P, a precise asymptotic formula for the difference of the mean widths of $P^{(n)}$ and P is obtained.
dc.identifierhttps://arxiv.org/abs/0901.3343
dc.identifierhttp://arxiv.org/abs/0901.3343
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/216842
dc.subjectMetric Geometry
dc.subjectProbability
dc.subject52A22
dc.titleThe mean width of circumscribed random polytopes
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