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A new isoperimetric inequality and the concentration of measure phenomenon

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Geometric Aspects of Functional Analysis

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1469))

Abstract

We prove a new isoperimetric inequality for a certain product measure that improves upon some aspects of the “large deviation” consequences of the isoperimetric inequality for the Gaussian measure.

Work partially supported by an N.S.F. grant.

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References

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Authors and Affiliations

  1. U.A. au C.N.R.S. No. 754 Equipe d' Analyse-Tour 46, Université Paris VI, 4 Place Jussieu, 75230, Paris Cedex 05, France

    Michel Talagrand

  2. Department of Mathematics, The Ohio State University, 231 West 18th Avenue, 43210, Columbus, Ohio, USA

    Michel Talagrand

Authors
  1. Michel Talagrand
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Editor information

Joram Lindenstrauss Vitali D. Milman

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© 1991 Springer-Verlag

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Talagrand, M. (1991). A new isoperimetric inequality and the concentration of measure phenomenon. In: Lindenstrauss, J., Milman, V.D. (eds) Geometric Aspects of Functional Analysis. Lecture Notes in Mathematics, vol 1469. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0089217

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  • DOI: https://doi.org/10.1007/BFb0089217

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-54024-3

  • Online ISBN: 978-3-540-47355-8

  • eBook Packages: Springer Book Archive

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