Isoperimetry between exponential and Gaussian - Archive ouverte HAL
Pré-Publication, Document De Travail Année : 2007

Isoperimetry between exponential and Gaussian

Résumé

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 et 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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