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arXiv · 1509.05926

A reverse entropy power inequality for log-concave random vectors

Keith Ball·Piotr Nayar·Tomasz Tkocz
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Abstract

We prove that the exponent of the entropy of one dimensional projections of a log-concave random vector defines a 1/5-seminorm. We make two conjectures concerning reverse entropy power inequalities in the log-concave setting and discuss some examples.

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Keith Ball, Piotr Nayar, Tomasz Tkocz. 2015-09-19. A reverse entropy power inequality for log-concave random vectors. https://arxiv.org/abs/1509.05926

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