%0 Journal Article
%T On Gaussian Brunn-Minkowski inequalities
%A Franck Barthe
%A Nolwen Huet
%J Mathematics
%D 2008
%I arXiv
%X 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 $m$ 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.
%U http://arxiv.org/abs/0804.0886v2