Faces in random great hypersphere tessellations

DOI10.1214/20-EJP570zbMath1473.52011arXiv2005.01055MaRDI QIDQ2042817

Zakhar Kabluchko, Christoph Thäle

Publication date: 21 July 2021

Published in: Electronic Journal of Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2005.01055

zbMATH Keywords

\(f\)-vectorintersection probabilityspherical stochastic geometrystatistical dimensiongreat hypersphere tessellationspherical intrinsic volumespherical quermaßintegraltypical spherical faceweighted spherical face

Mathematics Subject Classification ID

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

Related Items (3)

Random inscribed polytopes in projective geometries ⋮ Intersections of Poisson \(k\)-flats in constant curvature spaces ⋮ On expected face numbers of random beta and beta' polytopes

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