Threshold phenomena for high-dimensional random polytopes
2019 ◽
Vol 21
(05)
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pp. 1850038
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Keyword(s):
Let [Formula: see text], [Formula: see text] be independent random points in [Formula: see text], distributed according to the so-called beta or beta-prime distribution, respectively. We establish threshold phenomena for the volume, intrinsic volumes, or more general measures of the convex hulls of these random point sets, as the space dimension [Formula: see text] tends to infinity. The dual setting of polytopes generated by random halfspaces is also investigated.
2013 ◽
Vol 29
(3-4)
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pp. 283-301
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2010 ◽
Vol 91
(19-21)
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pp. 2671-2679
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2013 ◽
Vol 46
(6)
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pp. 725-733
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