English

Isoperimetry between exponential and Gaussian

Probability 2007-05-23 v2

Abstract

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.

Keywords

Cite

@article{arxiv.math/0601475,
  title  = {Isoperimetry between exponential and Gaussian},
  author = {Franck Barthe and Patrick Cattiaux and Cyril Roberto},
  journal= {arXiv preprint arXiv:math/0601475},
  year   = {2007}
}