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arXiv · 1602.03836

Intertwinings and Generalized Brascamp-Lieb Inequalities

Marc Arnaudon·Michel Bonnefont·Aldéric Joulin
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Abstract

We continue our investigation of the intertwining relations for Markov semigroups and extend the results of [9] to multi-dimensional diffusions. In particular these formulae entail new functional inequalities of Brascamp-Lieb type for log-concave distributions and beyond. Our results are illustrated by some classical and less classical examples.

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Marc Arnaudon, Michel Bonnefont, Aldéric Joulin. 2016-02-11. Intertwinings and Generalized Brascamp-Lieb Inequalities. https://arxiv.org/abs/1602.03836

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