Large deviations and isoperimetry over convex probability measures with heavy tails

Sergey Bobkov

doi:10.1214/EJP.v12-440

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Home > Journals > Electron. J. Probab. > Volume 12 > Article

2007 Large deviations and isoperimetry over convex probability measures with heavy tails

Sergey Bobkov

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Sergey Bobkov¹
¹University of Minnesota

Electron. J. Probab. 12: 1072-1100 (2007). DOI: 10.1214/EJP.v12-440

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Abstract

Large deviations and isoperimetric inequalities are considered for probability distributions, satisfying convexity conditions of the Brunn-Minkowski-type

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Sergey Bobkov. "Large deviations and isoperimetry over convex probability measures with heavy tails." Electron. J. Probab. 12 1072 - 1100, 2007. https://doi.org/10.1214/EJP.v12-440

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Accepted: 20 July 2007; Published: 2007

First available in Project Euclid: 1 June 2016

zbMATH: 1148.60011

MathSciNet: MR2336600

Digital Object Identifier: 10.1214/EJP.v12-440

Subjects:

Primary: 60Bxx

Secondary: 46Gxx

Keywords: convex measures , dilation of sets , isoperimetric , Khinchin-type , large deviations , Sobolev-type inequalities , transportation of mass , weak Poincar'e

Rights: Creative Commons Attribution 3.0 License

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Sergey Bobkov "Large deviations and isoperimetry over convex probability measures with heavy tails," Electronic Journal of Probability, Electron. J. Probab. 12(none), 1072-1100, (2007)

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