Resumen de Intertwinings and generalized Brascamp–Lieb inequalities

Marc Arnaudon, Michel Bonnefont, Aldéric Joulin

• We continue our investigation of the intertwining relations for Markov semigroups and extend our previous results 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.