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Isoperimetry between exponential and Gaussian

Franck Barthe·Patrick Cattiaux·Cyril Roberto
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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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Franck Barthe, Patrick Cattiaux, Cyril Roberto. 2007-01-29. Isoperimetry between exponential and Gaussian. https://arxiv.org/abs/math/0601475

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