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math.PRApr 22, 2003
57
citations (OpenAlex)
authors
  • Rafał Latała
institutions
  • University of Warsaw
arXiv abstractPDF
paper

On some inequalities for Gaussian measures

arXiv:math/0304343

Abstract

We review several inequalities concerning Gaussian measures - isoperimetric inequality, Ehrhard's inequality, Bobkov's inequality, S-inequality and correlation conjecture.

Cited by in corpus (16)

  • Regularity Properties and Pathologies of Position-Space Renormalization-Group Transformations
  • Gaussian mixtures: entropy and geometric inequalities
  • Isoperimetry and symmetrization for logarithmic Sobolev inequalities
  • On fine properties of mixtures with respect to concentration of measure and Sobolev type inequalities
  • The equality cases of the Ehrhard-Borell inequality
  • The Borell-Ehrhard Game
  • Isotropic Measures and Maximizing Ellipsoids: Between John and Loewner
  • On the Black's equation for the risk tolerance function
  • A Note on a Brunn-Minkowski Inequality for the Gaussian Measure
  • A Gaussian version of Littlewood's theorem on random power series
  • On the stability of Brunn-Minkowski type inequalities
  • On the improvement of concavity of convex measures
  • The Lp​-Gaussian Minkowski problem
  • The Minkowski problem in the Gaussian probability space
  • S-inequality for certain product measures
  • Evaluation of the Gauss integral
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