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.
Citation
Oded Schramm. Boris Tsirelson. "Trees, Not Cubes: Hypercontractivity, Cosiness, and Noise Stability." Electron. Commun. Probab. 4 39 - 49, 1999. https://doi.org/10.1214/ECP.v4-1004
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