Trees, not cubes: hypercontractivity, cosiness, and noise stability

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/175541Noise sensitivity of functions on the leaves of a binary tree is studied, and a hypercontractive inequality is obtained. We deduce that the spider walk is not noise stable.13 pages, 3 figures, LaTeX2eProbability60G42 (Primary) 05C05, 60C05, 60Hxx, 60J10 (Secondary)Trees, not cubes: hypercontractivity, cosiness, and noise stabilitytext