This is an announcement for the paper "A sharp isoperimetric bound for convex bodies" by Ravi Montenegro.

Abstract: We 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.

Archive classification: Functional Analysis; Metric Geometry; Probability

Mathematics Subject Classification: 52A40

The source file(s), iso.bbl: 1295 bytes, iso.tex: 41335 bytes, is(are) stored in gzipped form as 0411018.tar.gz with size 14kb. The corresponding postcript file has gzipped size 52kb.

Submitted from: monteneg@yahoo.com

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http://front.math.ucdavis.edu/math.FA/0411018

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http://arXiv.org/abs/math.FA/0411018

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