Random Polytopes on the Torus

DOI10.2307/2044768zbMath0526.52005OpenAlexW4255972125MaRDI QIDQ3041882

Christian Buchta, Robert F. Tichy

Publication date: 1985

Full work available at URL: https://doi.org/10.2307/2044768

zbMATH Keywords

torusconvex subsetsexpected volume of the convex hull of random points

Mathematics Subject Classification ID

Random convex sets and integral geometry (aspects of convex geometry) (52A22)

Cites Work

• Konvexität in riemannschen Mannigfaltigkeiten
• Konvexe Mengen in Riemannschen Mannigfaltigkeiten
• On the mean value of the volume of a random polytope in a convex set
• On some mean values associated with a randomly selected simplex in a convex set
• Zufallspolygone in konvexen Vielecken.
• A Problem in Geometric Probability.
• The convex hull of a random set of points
• Geometrical Probability and Random Points on a Hypersphere
• Random secants of a convex body
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