Geometric & Functional Analysis GAFA

, Volume 2, Issue 1, pp 118–125

A simple proof of the majorizing measure theorem


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

DOI: 10.1007/BF01895708

Cite this article as:
Talagrand, M. Geometric and Functional Analysis (1992) 2: 118. doi:10.1007/BF01895708


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.

Copyright information

© Birkhäuser Verlag 1992