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Intrinsic Volumes and Gaussian Polytopes: The Missing Piece of the Jigsaw

Barany, I; Thaele, C; (2017) Intrinsic Volumes and Gaussian Polytopes: The Missing Piece of the Jigsaw. Documenta Mathematica , 22 pp. 1323-1335. Green open access

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Abstract

The intrinsic volumes of Gaussian polytopes are considered. A lower variance bound for these quantities is proved, showing that, under suitable normalization, the variances converge to strictly positive limits. The implications of this missing piece of the jigsaw in the theory of Gaussian polytopes are discussed.

Type: Article
Title: Intrinsic Volumes and Gaussian Polytopes: The Missing Piece of the Jigsaw
Open access status: An open access version is available from UCL Discovery
Publisher version: https://www.math.uni-bielefeld.de/documenta/vol-22...
Language: English
Additional information: This version is the version of record. For information on re-use, please refer to the publisher’s terms and conditions.
Keywords: Gaussian polytopes, random polytopes, stochastic geometry, variance lower bound
UCL classification: UCL
UCL > Provost and Vice Provost Offices > UCL BEAMS
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Mathematics
URI: https://discovery-pp.ucl.ac.uk/id/eprint/10083298
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