TY - JOUR
TI - Threshold phenomena for high-dimensional random polytopes
AU - Bonnet, G.
AU - Chasapis, G.
AU - Grote, J.
AU - Temesvari, D.
AU - Turchi, N.
JO - Communications in Contemporary Mathematics
PY - 2019
VL - 21
TODO - 5
SP - null
PB - World Scientific Publishing Co. Pte. Ltd.
SN - 0219-1997
TODO - 10.1142/S0219199718500384
TODO - null
TODO - Let X1,.,XN, N > n, be independent random points in ℝn, 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 n tends to infinity. The dual setting of polytopes generated by random halfspaces is also investigated. © 2019 World Scientific Publishing Company.
ER -