Splitting tessellations in spherical spaces
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Publication:2631850
DOI10.1214/19-EJP267zbMath1417.52006arXiv1804.08740OpenAlexW2964261504MaRDI QIDQ2631850
Publication date: 16 May 2019
Published in: Electronic Journal of Probability (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1804.08740
Markov processmartingalespherical spacerandom tessellationpair-correlation functionBlaschke-Petkantschin formulamaximal facespherical integral geometry\(K\)-functionspherical curvature measuresplitting tessellation
Geometric probability and stochastic geometry (60D05) Integral geometry (53C65) Random convex sets and integral geometry (aspects of convex geometry) (52A22)
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Random inscribed polytopes in projective geometries, The \(\beta \)-Delaunay tessellation. II: the Gaussian limit tessellation, Does a central limit theorem hold for the \(k\)-skeleton of Poisson hyperplanes in hyperbolic space?, The typical cell of a Voronoi tessellation on the sphere, Intersections of Poisson \(k\)-flats in constant curvature spaces, Asymptotic normality for random polytopes in non-Euclidean geometries, Fractional perimeters on the sphere, Faces in random great hypersphere tessellations, Conical tessellations associated with Weyl chambers, A new approach to weak convergence of random cones and polytopes
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Cites Work
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