Large deviations and isoperimetry over convex probability measures with heavy tails

Sergey G. Bobkov

doi:10.1214/EJP.v12-440

Large deviations and isoperimetry over convex probability measures with heavy tails

Sergey G. Bobkov

Mathematics

Research output: Contribution to journal › Article › peer-review

33 Scopus citations

Abstract

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

Original language	English (US)
Pages (from-to)	1072-1100
Number of pages	29
Journal	Electronic Journal of Probability
Volume	12
DOIs	https://doi.org/10.1214/EJP.v12-440
State	Published - Jan 1 2007

Keywords

Convex measures
Dilation of sets
Isoperimetric
Khinchin-type
Large deviations
Sobolev-type inequalities
Transportation of mass
Weak Poincaré

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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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KW - Sobolev-type inequalities

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Large deviations and isoperimetry over convex probability measures with heavy tails

Abstract

Keywords

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