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