Gaussian bounds for noise correlation of functions

  title={Gaussian bounds for noise correlation of functions},
  author={Elchanan Mossel and U. C. Berkeley mossel},
In this paper we derive tight bounds on the expected value of products of low influence functions defined on correlated probability spaces. The proofs are based on extending Fourier theory to an arbitrary number of correlated probability spaces, on a generalization of an invariance principle recently obtained with O’Donnell and Oleszkiewicz for multilinear polynomials with low influences and bounded degree and on properties of multi-dimensional Gaussian distributions. We present two… CONTINUE READING
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Hypercontractivity of simple random variables

  • P. Wolff
  • Studia Mathematica, pages 219–326,
  • 2007
Highly Influential
5 Excerpts

Étude des coefficients de Fourier des fonctions de Lp(G)

  • A. Bonami
  • Ann. Inst. Fourier (Grenoble), 20(fasc. 2):335…
  • 1970
Highly Influential
6 Excerpts

A Szemerédi-type regularity lemma in abelian groups, with applications

  • B. Green
  • Geom. Funct. Anal., 15(2):340–376,
  • 2005
1 Excerpt

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