## Electronic Journal of Probability

### Isoperimetry between exponential and Gaussian

#### 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

#### Article information

Source
Electron. J. Probab., Volume 12 (2007), paper no. 44, 1212-1237.

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

https://projecteuclid.org/euclid.ejp/1464818515

Digital Object Identifier
doi:10.1214/EJP.v12-441

Mathematical Reviews number (MathSciNet)
MR2346509

Zentralblatt MATH identifier
1132.26005

Rights

#### Citation

Barthe, Franck; Cattiaux, Patrick; Roberto, Cyril. Isoperimetry between exponential and Gaussian. Electron. J. Probab. 12 (2007), paper no. 44, 1212--1237. doi:10.1214/EJP.v12-441. https://projecteuclid.org/euclid.ejp/1464818515

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