On Gaussian Brunn-Minkowski inequalities
Probability
2009-07-09 v2
Abstract
In this paper, we are interested in Gaussian versions of the classical Brunn-Minkowski inequality. We prove in a streamlined way a semigroup version of the Ehrard inequality for Borel or convex sets based on a previous work by Borell. Our method also allows us to have semigroup proofs of the geometric Brascamp-Lieb inequality and of the reverse one which follow exactly the same lines.
Cite
@article{arxiv.0804.0886,
title = {On Gaussian Brunn-Minkowski inequalities},
author = {Franck Barthe and Nolwen Huet},
journal= {arXiv preprint arXiv:0804.0886},
year = {2009}
}