Random spheres in a convex body

DOI10.1007/BF01199118zbMath0671.60008MaRDI QIDQ1119256

Fernando Affentranger

Publication date: 1990

Published in: Archiv der Mathematik (Search for Journal in Brave)

zbMATH Keywords

extremal propertiesgeometric probabilitiesuniform random points in a convex body

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Random convex sets and integral geometry (aspects of convex geometry) (52A22)

Related Items (3)

Circumspheres of sets of n + 1 random points in the d-dimensional Euclidean unit ball (1 ≤ n ≤ d) ⋮ The expected number of \(k\)-faces of a Voronoi diagram ⋮ Higher-dimensional Voronoi diagrams in linear expected time

Cites Work

• Unnamed Item
• On the homogeneous planar Poisson point process
• Isoperimetric inequalities for the mean width of a convex body
• Integralgeometrie. VI. Zusammenhänge zwischen den Dichten der linearen Unterräume im \(n\)-dimensionalen Raum
• Zur Theorie der Eikörper
• Random circles in the d-dimensional unit ball
• Isotropic random simplices

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