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Isoperimetry between exponential and Gaussian

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arxiv math/0601475 v2 pith:DC5DMQD7 submitted 2006-01-19 math.PR

Isoperimetry between exponential and Gaussian

classification math.PR
keywords exponentialgaussianisoperimetricapproximatecoordinatedetailsexamplesexhibit
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We study in details the isoperimetric profile of product probability measures with tails between the exponential and the Gaussian regime. In particular we exhibit many examples where coordinate half-spaces are approximate solutions of the isoperimetric problem.

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