Gaussian noise sensitivity and Fourier tails

We observe a subadditivity property for the noise sensitivity of subsets of Gaussian space. For subsets of volume 1/2, this leads to an almost trivial proof of Borell’s Isoperimetric Inequality for ρ = cos( π/2ℓ), ℓ ∈ N . Rotational sensitivity also easily gives the Gaussian Isoperimetric Inequality...

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Veröffentlicht in:	Israel journal of mathematics 2018-04, Vol.225 (1), p.71-109
Hauptverfasser:	Kindler, Guy, Kirshner, Naomi, O’Donnell, Ryan
Format:	Artikel
Sprache:	eng
Schlagworte:	Algebra Analysis Applications of Mathematics Boolean algebra Boolean functions Group Theory and Generalizations Invariance Mathematical and Computational Physics Mathematics Mathematics and Statistics Noise sensitivity Random noise Theoretical
Online-Zugang:	Volltext
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