Geometric & Functional Analysis GAFA

, Volume 2, Issue 1, pp 118–125

A simple proof of the majorizing measure theorem

  • M. Talagrand
Article

Abstract

We gieve a completely elementary proof of the existence of majorizing measures for bounded Gaussian processes. The proof relies upon Sudakov's minoration, the concentration of measure phenomenon, and a (somewhat deceptively) simple construction.

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References

  1. [LT]M. Ledoux, M. Talagrand, Probability in Banach spaces, Springer Verlag, 1991.Google Scholar
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  5. [T4]M. Talagrand, A new isoperimetric inequality and the concentration of measure phenomenon, Israel Seminar on Geometric Aspects of Functional Analysis, Springer Verlag, Lecture Notes in Mathematics 1469, 94–124, 1991.Google Scholar

Copyright information

© Birkhäuser Verlag 1992

Authors and Affiliations

  • M. Talagrand
    • 1
  1. 1.Equipe d'Analyse, Tour 46E.R.A. au C.N.R.S. No. 754Paris Cedex 05France

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