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arxiv: 1205.0263 · v2 · pith:AZIOI5GMnew · submitted 2012-05-01 · 💻 cs.CC · math.CO

An Entropic Proof of Chang's Inequality

classification 💻 cs.CC math.CO
keywords changgiveproofadditiveanalysisbiasedbooleancase
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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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