Geodesic
Intrinsic Volumes and Gaussian Polytopes: The Missing Piece of the Jigsaw
Documenta mathematica, Tome 22 (2017), pp. 1323-1335
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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.
DOI : 10.4171/dm/598
Classification : 52A22, 53C65, 60D05
Mots-clés : Gaussian polytopes, random polytopes, variance lower bound 
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     author = {Imre B\'ar\'any and Christoph Th\"ale},
     title = {Intrinsic {Volumes} and {Gaussian} {Polytopes:} {The} {Missing} {Piece} of the {Jigsaw}},
     journal = {Documenta mathematica},
     pages = {1323--1335},
     year = {2017},
     volume = {22},
     doi = {10.4171/dm/598},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/dm/598/}
}
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Imre Bárány; Christoph Thäle. Intrinsic Volumes and Gaussian Polytopes: The Missing Piece of the Jigsaw. Documenta mathematica, Tome 22 (2017), pp. 1323-1335. doi: 10.4171/dm/598

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