Entropy versus influence for complex functions of modulus one 2

Gideon Schechtman

Entropy versus influence for complex functions of modulus one 2

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arxiv 2009.12753 v3 pith:DJVUI35B submitted 2020-09-27 math.CO cs.DMmath.FA

Gideon Schechtman This is my paper · ORCID

classification math.COcs.DMmath.FA

keywords entropyinfluencearxivboundedcomplexexamplefrac12function

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abstract

This is a simplification of a previous version of this ArXiv note. We present an example of a function $f$ from $\{-1,1\}^n$ to the unit sphere in $\mathbb{C}$ with influence bounded by $1$ and entropy of $|\hat f|^2$ larger than $\frac12\log n$.

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