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 [...]

## Recent comments

Matt Franklin: Maybe two small typos in the proof of Corollary 11.67 (p. 36...Ryan O'Donnell: I see your point, although in some sense this distinction be...Ryan O'Donnell: Thank you!Ryan O'Donnell: Yep, thanks!Ryan O'Donnell: Great catch, thanks!Matt Franklin: Maybe two small typos in last sentence before Borell's Isope...Matt Franklin: maybe small typo in Remark 11.11 (p. 328 in book): $z \tild...