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- W4300183977 abstract "The entropy/influence conjecture, raised by Friedgut and Kalai in 1996, seeks to relate two different measures of concentration of the Fourier coefficients of a Boolean function. Roughly saying, it claims that if the Fourier spectrum is smeared out, then the Fourier coefficients are concentrated on high levels. In this note we generalize the conjecture to biased product measures on the discrete cube, and prove a variant of the conjecture for functions with an extremely low Fourier weight on the high levels." @default.
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- W4300183977 date "2011-05-13" @default.
- W4300183977 modified "2023-09-28" @default.
- W4300183977 title "A Note on the Entropy/Influence Conjecture" @default.
- W4300183977 doi "https://doi.org/10.48550/arxiv.1105.2651" @default.
- W4300183977 hasPublicationYear "2011" @default.
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