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An Entropic Proof of Chang's Inequality

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arxiv 1205.0263 v2 pith:AZIOI5GM submitted 2012-05-01 cs.CC math.CO

An Entropic Proof of Chang's Inequality

classification cs.CC math.CO
keywords changgiveproofadditiveanalysisbiasedbooleancase
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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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