论文标题

哥斯达黎加熵力不平等的概括

A generalization of Costa's Entropy Power Inequality

论文作者

Tamanini, Luca

论文摘要

这个简短说明的目的是研究香农沿熵插值的熵力,从而推广科斯塔的凹入定理。我们将提供两个独立利益的证据:前者以$γ$ -calculus为单位,因此适用于更抽象的框架;后者具有明确的剩余期限,让人想起[20],使我们能够表征平等的情况。

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 $Γ$-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.

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