arXiv:math/0601475 Abstract

arXiv:math/0601475 [math.PR]Abstract References Reviews Resources

Isoperimetry between exponential and Gaussian

Franck Barthe, Patrick Cattiaux, Cyril Roberto

Published 2006-01-19, updated 2007-01-29Version 2

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.

Categories: math.PR

Keywords: exponential, isoperimetry, product probability measures, isoperimetric problem, gaussian regime

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