Equality cases in the Anantharam-Jog-Nair inequality
Information Theory
2022-06-24 v1 math.IT
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.
Keywords
Cite
@article{arxiv.2206.11809,
title = {Equality cases in the Anantharam-Jog-Nair inequality},
author = {Efe Aras and Thomas A. Courtade and Albert Zhang},
journal= {arXiv preprint arXiv:2206.11809},
year = {2022}
}
Comments
21 pages. Comments welcome