Electronic Journal of Probability

Isoperimetry between exponential and Gaussian

Franck Barthe, Patrick Cattiaux, and Cyril Roberto

Full-text: Open access

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

Permanent link to this document
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

Subjects
Primary: 26D10: Inequalities involving derivatives and differential and integral operators
Secondary: 47D07: Markov semigroups and applications to diffusion processes {For Markov processes, see 60Jxx} 60E15: Inequalities; stochastic orderings

Keywords
Isoperimetry Super-Poincaré inequality

Rights
This work is licensed under aCreative Commons Attribution 3.0 License.

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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