On Gaussian Brunn-Minkowski inequalities

Details On Gaussian Brunn-Minkowski inequalities On Gaussian Brunn-Minkowski inequalities

2008-04-06

arxiv.org/abs/0804.0886v2

Studia Mathematica 191, 3 (2009) 283--304

Mathematics

Probability

Scientific paper

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.

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