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09/04/2023
Minimum entropy of a log-concave variable for fixed variance
We show that for log-concave real random variables with fixed variance t...
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05/09/2022
Ultra-log-concavity and discrete degrees of freedom
We develop the notion of discrete degrees of freedom of a log-concave se...
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08/23/2021
Rényi entropy and variance comparison for symmetric log-concave random variables
We show that for any α>0 the Rényi entropy of order α is minimized, amon...
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05/24/2020
Sharp variance-entropy comparison for nonnegative gaussian quadratic forms
In this article we study quadratic forms in n independent standard norma...
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12/19/2019
From the Bernoulli Factory to a Dice Enterprise via Perfect Sampling of Markov Chains
Given a p-coin that lands heads with unknown probability p, we wish to p...
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04/04/2019
Two remarks on generalized entropy power inequalities
This note contributes to the understanding of generalized entropy power ...
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11/01/2018