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Large Deviations of Typical Linear Functionals on a Convex Body with Unconditional Basis

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Stochastic Inequalities and Applications

Part of the book series: Progress in Probability ((PRPR,volume 56))

Abstract

We study large deviations of linear functionals on an isotropic convex set with unconditional basis. It is shown that suitably normalized ℓ 1-balls play the role of extremal bodies.

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References

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Author information

Authors and Affiliations

  1. School of Mathematics, University of Minnesota, Minneapolis, MN, 55455, USA

    Sergey G. Bobkov

  2. Department of Mathematics, Michigan State University, East Lansing, MI, 48824-1027, USA

    Fedor L. Nazarov

Authors
  1. Sergey G. Bobkov
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  2. Fedor L. Nazarov
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Editor information

Editors and Affiliations

  1. Department of Mathematics, U-3009, University of Connecticut, Storrs, CT, 06268, USA

    Evariste Giné

  2. Laboratoire d’Analyse et de Mathématiques Appliquées CNRS UMR 8050, Université de Paris XII, 94010, Créteil Cedex, France

    Christian Houdré

  3. Georgia Institute of Technology, School of Mathematics, Atlanta, GA, 30332, USA

    Christian Houdré

  4. Facultat de Matemàtiques, Universitat de Barcelona, Gran Via, 585, 08007, Barcelona, Spain

    David Nualart

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© 2003 Springer Basel AG

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Bobkov, S.G., Nazarov, F.L. (2003). Large Deviations of Typical Linear Functionals on a Convex Body with Unconditional Basis. In: Giné, E., Houdré, C., Nualart, D. (eds) Stochastic Inequalities and Applications. Progress in Probability, vol 56. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8069-5_1

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  • DOI: https://doi.org/10.1007/978-3-0348-8069-5_1

  • Publisher Name: Birkhäuser, Basel

  • Print ISBN: 978-3-0348-9428-9

  • Online ISBN: 978-3-0348-8069-5

  • eBook Packages: Springer Book Archive

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