Open Access
2007 Isoperimetry between exponential and Gaussian
Franck Barthe, Patrick Cattiaux, Cyril Roberto
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Electron. J. Probab. 12: 1212-1237 (2007). DOI: 10.1214/EJP.v12-441


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


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Franck Barthe. Patrick Cattiaux. Cyril Roberto. "Isoperimetry between exponential and Gaussian." Electron. J. Probab. 12 1212 - 1237, 2007.


Accepted: 23 May 2007; Published: 2007
First available in Project Euclid: 1 June 2016

zbMATH: 1132.26005
MathSciNet: MR2346509
Digital Object Identifier: 10.1214/EJP.v12-441

Primary: 26D10
Secondary: 47D07 , 60E15

Keywords: Isoperimetry , Super-Poincaré inequality

Vol.12 • 2007
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