Inventiones mathematicae

, Volume 126, Issue 3, pp 505–563 | Cite as

New concentration inequalities in product spaces

  • Michel Talagrand


We introduce three new ways to measure the “distance” from a point to a subset of a product space and we prove corresponding concentration inequalities. Each of them allows to control the fluctuation of a new class of random variables.


Product Space Concentration Inequality 
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Copyright information

© Springer-Verlag Berlin Heidelberg 1996

Authors and Affiliations

  • Michel Talagrand
    • 1
  1. 1.Equipe d Analyse-Tour 56, E.R.A. au C.N.R.S. no. 754, Université Paris VI, 4 Pl Jussieu, F-75230 Paris Cedex 05, France FR

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