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arXiv · 1404.1434

On the Subadditivity of the Entropy on the Sphere

Amit Einav
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Abstract

We present a refinement of a known entropic inequality on the sphere, finding suitable conditions under which the uniform probability measure on the sphere behaves asymptomatically like the Gaussian measure on $\mathbb{R}^N$ with respect to the entropy.

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Amit Einav. 2014-04-05. On the Subadditivity of the Entropy on the Sphere. https://arxiv.org/abs/1404.1434

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