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

Oded Schramm, Boris Tsirelson

Research output: Contribution to journalArticlepeer-review

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.

Original languageEnglish
Pages (from-to)39-49
Number of pages11
JournalElectronic Communications in Probability
Volume4
DOIs
StatePublished - 1 Jan 1999

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