Geometric & Functional Analysis GAFA

, Volume 1, Issue 2, pp 188–197

Some deviation inequalities

  • B. Maurey
Article

DOI: 10.1007/BF01896377

Cite this article as:
Maurey, B. Geometric and Functional Analysis (1991) 1: 188. doi:10.1007/BF01896377

Abstract

We introduce a concentration property for probability measures onRn, which we call Property (τ); we show that this property has an interesting stability under products and contractions (Lemmas 1, 2, 3). Using property (τ), we give a short proof for a recent deviation inequality due to Talagrand. In a third section, we also recover known concentration results for Gaussian measures using our approach.

Copyright information

© Birkhäuser Verlag 1991

Authors and Affiliations

  • B. Maurey
    • 1
  1. 1.Department of MathematicsUniversité Paris 7Paris Cedex 05France

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