Israel Journal of Mathematics

, Volume 50, Issue 4, pp 265–289 | Cite as

Some inequalities for Gaussian processes and applications

  • Yehoram Gordon
Article

Abstract

We present a generalization of Slepian's lemma and Fernique's theorem. We show how these can be easily applied to give a new proof, with improved estimates, of Dvoretzky’s theorem on the existence of “almost” spherical sections for arbitrary convex bodies inRN, while avoiding the isoperimetric inequality.

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Copyright information

© The Weizmann Science Press of Israel 1985

Authors and Affiliations

  • Yehoram Gordon
    • 1
  1. 1.Department of MathematicsTechnion-Israel Institute of TechnologyHaifaIsrael

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