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A new isoperimetric inequality and the concentration of measure phenomenon

Part of the Lecture Notes in Mathematics book series (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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© 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