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arXiv · 0804.0886

On Gaussian Brunn-Minkowski inequalities

Franck Barthe·Nolwen Huet
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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 $m$ 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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Franck Barthe, Nolwen Huet. 2008-07-30. On Gaussian Brunn-Minkowski inequalities. https://arxiv.org/abs/0804.0886

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