On p-Brunn-Minkowski and Brascamp-Lieb inequalities

Alexander V. Kolesnikov, Galyna Livshyts, Liran Rotem

We show that a strong version of the Brascamp--Lieb inequality for symmetric log-concave measure with $\alpha$-homogeneous potential $V$ is equivalent to a $p$-Brunn--Minkowski inequali…