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

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

1999-02-19

arxiv.org/abs/math/9902116v1

Electron.Commun.Probab.4:39-49,1999

Mathematics

Probability

13 pages, 3 figures, LaTeX2e

Scientific paper

Noise 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.

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