Trees, not cubes...
Oded Schramm and Boris Tsirelson,
"Trees, not cubes: hypercontractivity, cosiness, and noise stability."
Electronic Communication in Probability 4:6, 39-49 (1999).
Available online (free of charge) from the main site (USA):
or its Israeli mirror:
A short (11 pages, 3 figures) research paper. Bibl. 14 refs.
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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