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Hypercontractive inequality on the Boolean hypercube
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Mathematics
Area of mathematics
Combinatorics
Analysis of Boolean functions
Bonami lemma
Created
2026-09-24
Updated
2026-09-24
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One form
of the hypercontractive inequality is
∥
T
1/
3
f
∥
4
≤
∥
f
∥
2
, where
T
ρ
is the
noise operator on the Boolean hypercube
.
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(6)
Bonami lemma
Analysis of Boolean functions
Combinatorics
Area of mathematics
Mathematics
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Past exam of the mathematics course of the University of Cambridge
/
2026
/
iii
/
Paper 168
/
2
/
i
/
Solution
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