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arxiv: 0909.5652 · v1 · submitted 2009-09-30 · 🧮 math.CO

Influences of monotone Boolean functions

classification 🧮 math.CO
keywords booleanmonotoneapplyconjectureconjectureddecreasefunctionfunctions
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Recently, Keller and Pilpel conjectured that the influence of a monotone Boolean function does not decrease if we apply to it an invertible linear transformation. Our aim in this short note is to prove this conjecture.

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