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arxiv: math/9902116 · v1 · submitted 1999-02-19 · 🧮 math.PR

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

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keywords noisebinarycosinesscubesdeducefunctionshypercontractivehypercontractivity
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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.

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