On the Subadditivity of the Entropy on the Sphere
Functional Analysis
2015-04-02 v2 Information Theory
Mathematical Physics
math.IT
math.MP
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 with respect to the entropy.
Keywords
Cite
@article{arxiv.1404.1434,
title = {On the Subadditivity of the Entropy on the Sphere},
author = {Amit Einav},
journal= {arXiv preprint arXiv:1404.1434},
year = {2015}
}