Geometric probability on the sphere

DOI10.1365/s13291-017-0158-5zbMath1401.60019OpenAlexW2582613430MaRDI QIDQ527268

Hiroshi Maehara, Horst Martini

Publication date: 11 May 2017

Published in: Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1365/s13291-017-0158-5

zbMATH Keywords

coverage problemCrofton's formularandom great circlerandom spherical polygonSantaló's chord theoremSylvester's problem

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Integral geometry (53C65) Random convex sets and integral geometry (aspects of convex geometry) (52A22) Research exposition (monographs, survey articles) pertaining to probability theory (60-02)

Related Items

Spherical Geometry—A Survey on Width and Thickness of Convex Bodies ⋮ Splitting tessellations in spherical spaces

Cites Work

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• Some geometric applications of the beta distribution
• When does the union of random spherical caps become connected?
• A threshold for the size of random caps to cover a sphere
• On a condition for the union of spherical caps to be connected
• Multivariate normal approximation in geometric probability
• Integral formulas in Crofton's style on the sphere and some inequalities referring to spherical curves
• Distributions of Angles in Random Packing on Spheres
• EARLY HISTORY OF GEOMETRIC PROBABILITY AND STEREOLOGY
• Stochastic and Integral Geometry
• Four Shots for a Convex Quadrilateral
• A Problem in Geometric Probability.
• Portraits of the Earth
• Heavenly Mathematics
• Discrete and Computational Geometry
• Geometric probability
• Nineteenth-century developments in geometric probability: J. J. Sylvester, M. W. Crofton, J.-É. Barbier, and J. Bertrand