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VOL. 45 | 2004 A question of geometry and probability

## Abstract

We introduce the Aleksandrov-Fenchel inequality, apply it to a tail bound for Gaussian processes, and speculate on a further connection.

## Information

Published: 1 January 2004
First available in Project Euclid: 28 November 2007

zbMATH: 1268.52006
MathSciNet: MR2126909

Digital Object Identifier: 10.1214/lnms/1196285402

Subjects:
Primary: 52A40
Secondary: 52A05 , 52A39 , 60D05 , 60G15

Keywords: Aleksandrov-Fenchel inequality , Brunn-Minkowski inequality , convex body , Gaussian process , intrinsic volume , Isoperimetric inequality , mean width , Steiner formula , tail bound