Santa Fe Institute

SFI Working Paper Abstract

Title: An Entropic Proof of Chang’s Inequality
Author(s): Russell Impagliazzo, Cristopher Moore, Alexander Russell
Files: [pdf]
Paper #: 13-05-018
Date: May 7, 2013
Abstract: Chang's lemma is a useful tool in additive combinatorics and the analysis of Boolean functions. Here we give an elementary proof using entropy. The constant we obtain is tight, and we give a slight improvement in the case where the variables are highly biased.
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