A central limit theorem for convex chains in the square

DOI10.1007/PL00009490zbMath0954.52008OpenAlexW2065194571MaRDI QIDQ1961850

Cun-Hui Zhang, William Steiger, Günter Rote, Imre Bárány

Publication date: 3 October 2000

Published in: Discrete \& Computational Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/pl00009490

zbMATH Keywords

central limit theoremlimit shapeconvex chains in the squarerandom convex chains

Mathematics Subject Classification ID

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

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Asymptotics of convex lattice polygonal lines with a constrained number of vertices ⋮ ON RANDOM CONVEX CHAINS, ORTHOGONAL POLYNOMIALS, PF SEQUENCES AND PROBABILISTIC LIMIT THEOREMS ⋮ Asymptotic statistics of then-sided planar Poisson–Voronoi cell: II. Heuristics ⋮ The Exact Distribution of the Number of Vertices of a Random Convex Chain ⋮ Approximation of convex sets by polytopes ⋮ Central limit theorems for random polytopes

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