Cones generated by random points on half-spheres and convex hulls of Poisson point processes

DOI10.1007/s00440-019-00907-3zbMath1428.52007arXiv1801.08008OpenAlexW2963529532WikidataQ128093893 ScholiaQ128093893MaRDI QIDQ2334373

Zakhar Kabluchko, Christoph Thäle, Alexander Marynych, Daniel Temesvari

Publication date: 7 November 2019

Published in: Probability Theory and Related Fields (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1801.08008

zbMATH Keywords

\(f\)-vectorconvex coneconvex hullrandom polytopePoisson point processBlaschke-Petkantschin formulaspherical integral geometryconic intrinsic volume

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Central limit and other weak theorems (60F05) (n)-dimensional polytopes (52B11) Spherical and hyperbolic convexity (52A55) Random convex sets and integral geometry (aspects of convex geometry) (52A22)

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