Equality cases in the Anantharam-Jog-Nair inequality
arXiv:2206.11809
Abstract
Anantharam, Jog and Nair recently unified the Shannon-Stam inequality and the entropic form of the Brascamp-Lieb inequalities under a common inequality. They left open the problems of extremizability and characterization of extremizers. Both questions are resolved in the present paper.
21 pages. Comments welcome