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

Oded Schramm; Boris Tsirelson

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arXiv · math/9902116

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

Oded Schramm·Boris Tsirelson

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Abstract

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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Oded Schramm, Boris Tsirelson. 1999-02-19. Trees, not cubes: hypercontractivity, cosiness, and noise stability. https://arxiv.org/abs/math/9902116

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