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Isoperimetry between exponential and Gaussian

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Abstract

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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Dates and versions

hal-00017377 , version 1 (19-01-2006)
hal-00017377 , version 2 (29-01-2007)

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Franck Barthe, Patrick Cattiaux, Cyril Roberto. Isoperimetry between exponential and Gaussian. 2007. ⟨hal-00017377v2⟩
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