A sharp isoperimetric bound for convex bodies

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dc.creatorMontenegro, Ravi
dc.date2004-10-31
dc.date.accessioned2026-07-07T06:29:33Z
dc.date.available2026-07-07T06:29:33Z
dc.descriptionWe consider the problem of lower bounding a generalized Minkowski measure of subsets of a convex body with a log-concave probability measure, conditioned on the set size. A bound is given in terms of diameter and set size, which is sharp for all set sizes, dimensions, and norms. In the case of uniform density a stronger theorem is shown which is also sharp.
dc.identifierhttps://arxiv.org/abs/math/0411018
dc.identifierhttp://arxiv.org/abs/math/0411018
dc.identifierIsrael Journal of Mathematics, volume 153, pp. 267-284, 2006
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/98074
dc.subjectFunctional Analysis
dc.subjectMetric Geometry
dc.subjectProbability
dc.subject52A40
dc.titleA sharp isoperimetric bound for convex bodies
dc.typetext

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