Boundedness of Crofton's cell for the homogeneous Poisson process of geodesics in the hyperbolic plane

DOI10.1016/j.crma.2007.02.018zbMath1125.60006OpenAlexW2068669197MaRDI QIDQ883400

Sylvain Porret-Blanc

Publication date: 4 June 2007

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2007.02.018

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05)

Related Items (3)

Does a central limit theorem hold for the \(k\)-skeleton of Poisson hyperplanes in hyperbolic space? ⋮ Beta-star polytopes and hyperbolic stochastic geometry ⋮ Asymptotics of Visibility in the Hyperbolic Plane

Cites Work

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• The various aggregates of random polygons determined by random lines in a plane
• The spectrum of some Poisson mosaic processes in the plane and the convex hull of the Brownian bridge
• Covering the circle with random arcs
• Recouvrements aléatoires et théorie du potentiel
• On the probability of covering the circle by random arcs
• Covering the circle with random arcs of random sizes
• Quelques théorèmes centraux limites pour les processus poissoniens de droites dans le plan
• The distributions of the smallest disks containing the Poisson-Voronoi typical cell and the Crofton cell in the plane
• RANDOM POLYGONS DETERMINED BY RANDOM LINES IN A PLANE, II
• Covering the line with random intervals
• RANDOM POLYGONS DETERMINED BY RANDOM LINES IN A PLANE
• SOLUTION TO A GEOMETRICAL PROBLEM IN PROBABILITY

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