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Equality cases in the Anantharam-Jog-Nair inequality

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arxiv 2206.11809 v1 pith:CDAT4Y2V submitted 2022-06-23 cs.IT math.IT

Efe Aras , Thomas A. Courtade , Albert Zhang This is my paper · ORCID
classification cs.ITmath.IT
keywords inequalityanantharamanantharam-jog-nairbrascamp-liebcasescharacterizationcommonentropic
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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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