Expected intrinsic volumes and facet numbers of random beta-polytopes
Author:
Affiliation:
1. Institut für Mathematische Stochastik; Westfälische Wilhelms-Universität Münster; 48149 Münster Germany
2. Fakultät für Mathematik; Ruhr-Universität Bochum; 44780 Bochum Germany
Funder
DFG Scientific Network
Deutsche Forschungsgemeinschaft
Publisher
Wiley
Subject
General Mathematics
Link
http://onlinelibrary.wiley.com/wol1/doi/10.1002/mana.201700255/fullpdf
Reference36 articles.
1. The expected volume of a random polytope in a ball;Affentranger;J. Microsc.,1988
2. The convex hull of random points with spherically symmetric distributions;Affentranger;Rend. Semin. Mat. Univ. Politec. Torino,1991
3. Random projections of regular simplices;Affentranger;Discrete Comput. Geom.,1992
4. The number of extreme points in the convex hull of a random sample;Aldous;J. Appl. Probab.,1991
5. Random points and lattice points in convex bodies;Bárány;Bull. Amer. Math. Soc. (N. S.),2008
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