You might try using analysis of Boolean functions whenever you’re faced with a problems involving Boolean strings in which both the uniform probability distribution and the Hamming graph structure play a role. More generally, the tools may still apply when studying functions on (or subsets of) product probability spaces. If you’re mainly interested in [...]

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Ryan O'Donnell: That's two more -- thank you very much!Ryan O'Donnell: Thanks!Ryan O'Donnell: Yes, I'll change "third" to "subsequent".Ryan O'Donnell: Thanks!Matt Franklin: There may be two small typos in the proof of Corollary 9.32 ...Matt Franklin: Small typo at the end of the proof of Theorem 9.28 (p. 264 i...Matt Franklin: Small typo at the end of the proof of Proposition 9.19 (p. 2...