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

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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.
13 pages, 3 figures, LaTeX2e

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Probability, 60G42 (Primary) 05C05, 60C05, 60Hxx, 60J10 (Secondary)

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http://salesiana.dossiersoluciones.com/handle/123456789/175541

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/9902116
 http://arxiv.org/abs/math/9902116
 Electron.Commun.Probab.4:39-49,1999

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arXiv