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Noise operator on the Boolean hypercube

{title2=$\operatorname{Stab}_\rho(f)$}
{wiki}

The noise stability is
$$
\operatorname{Stab}_\rho(f)=\langle f,T_\rho f\rangle
=\sum_S\rho^{|S|}\widehat f(S)^2.
$$


Noise stability

Past exam of the mathematics course of the University of Cambridge / 2026 / iii / Paper 168 / 1 / i / Solution

Past exam of the mathematics course of the University of Cambridge / 2026 / iii / Paper 168 / 2 / ii / Solution

Noise stability ( $Stab_{ρ} (f)$ )

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Noise stability (Stabρ​(f))

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