About the isotropy constant of random convex sets

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dc.creatorAlonso-Gutierrez, David
dc.date2007-07-11
dc.date.accessioned2026-07-07T08:15:04Z
dc.date.available2026-07-07T08:15:04Z
dc.descriptionLet K be the symmetric convex hull of m independent random vectors uniformly distributed on the unit sphere of R^n. We prove that, for every $δ>0$, the isotropy constant of K is bounded by a constant $c(δ)$ with high probability, provided that $m\geq (1+δ)n$.
dc.description8 pages
dc.identifierhttps://arxiv.org/abs/0707.1570
dc.identifierhttp://arxiv.org/abs/0707.1570
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/133344
dc.subjectMetric Geometry
dc.subjectFunctional Analysis
dc.subject52A20; 52A40; 46B20
dc.titleAbout the isotropy constant of random convex sets
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