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Questions about Boolean functions and their analysis

3 votes
0 answers
103 views

Influence for boolean functions on larger domains

Most of the literature on boolean function complexity considers boolean functions on $\{0,1\}^n$, but I am not finding very much about functions over larger (finite) domains. Specifically, fix a balan …
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4 votes
1 answer
195 views

Concrete version of KKL Theorem

The Kahn–Kalai–Linial (KKL) Theorem says that for any balanced Boolean function $f:\{−1,1\}^n→\{−1,1\}$ we have $\max_i {\bf Inf}_i(f) = \Omega\left(\frac{\log n}{n}\right)$. I am looking for a concre …
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