Equality cases in the Anantharam-Jog-Nair inequality

Published 23 Jun 2022 in cs.IT and math.IT | (2206.11809v1)

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.

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