@article{3063458,
    title = "Threshold phenomena for high-dimensional random polytopes",
    author = "Bonnet, G. and Chasapis, G. and Grote, J. and Temesvari, D. and Turchi, N.",
    journal = "Communications in Contemporary Mathematics",
    year = "2019",
    volume = "21",
    number = "5",
    publisher = "World Scientific Publishing Co. Pte. Ltd.",
    issn = "0219-1997",
    doi = "10.1142/S0219199718500384",
    abstract = "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."
}