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arxiv: 1509.05926 · v2 · pith:UDZFX3PJnew · submitted 2015-09-19 · 🧮 math.PR

A reverse entropy power inequality for log-concave random vectors

classification 🧮 math.PR
keywords entropylog-concavepowerrandomreverseconcerningconjecturesdefines
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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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