Geodesic
Intrinsic Volumes and Gaussian Polytopes: The Missing Piece of the Jigsaw
Documenta mathematica, Tome 22 (2017), pp. 1323-1335.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

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.
Classification : 60D05, 52A22, 53C65
Keywords: Gaussian polytopes, random polytopes, variance lower bound 
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     title = {Intrinsic {Volumes} and {Gaussian} {Polytopes:} {The} {Missing} {Piece} of the {Jigsaw}},
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Bárány, Imre; Thäle, Christoph. Intrinsic Volumes and Gaussian Polytopes: The Missing Piece of the Jigsaw. Documenta mathematica, Tome 22 (2017), pp. 1323-1335. http://geodesic.mathdoc.fr/item/DOCMA_2017__22__a11/