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 Electronic Journal of Probability > Vol. 12 (2007) > Paper 44 open journal systems 


Isoperimetry between exponential and Gaussian

Franck Barthe, Institut de Mathematiques
Patrick Cattiaux, Ecole Polytechnique et MODALX
Cyril Roberto, Université de Marne La Vallée


Abstract
We study the isoperimetric problem for 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


Full text: PDF

Pages: 1212-1237

Published on: September 12, 2007
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Electronic Journal of Probability. ISSN: 1083-6489