Published Paper

Inserted: 23 dec 2020
Last Updated: 11 sep 2023

Journal: IEEE Transactions on Information Theory
Year: 2022

Abstract:

Aim of this short note is to study Shannon's entropy power along entropic interpolations, thus generalizing Costa's concavity theorem. We shall provide two proofs of independent interest: the former by $\Gamma$-calculus, hence applicable to more abstract frameworks; the latter with an explicit remainder term, reminiscent of 20, allowing us to characterize the case of equality.