Radosław Adamczak

Stability under mixtures of transportation inequalities and restricted log-Sobolev inequalities

We prove results about stability under mixtures for transport--entropy inequalities and restricted functional inequalities of Poincar\'e and log-Sobolev type. We treat Talagrand inequalities of type $\mathbf{T}_2$ and $\mathbf{T}_1$ together with their generalizations, as well as weak transportation inequalities introd...