Central limit theorem for the volume of random polytopes with vertices on the boundary

DOI10.1007/s00454-017-9862-2zbMath1400.52005OpenAlexW2587174486MaRDI QIDQ1650799

Christoph Thäle

Publication date: 13 July 2018

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

Full work available at URL: https://doi.org/10.1007/s00454-017-9862-2

zbMATH Keywords

stochastic geometrycentral limit theoremrandom polytopesurface body

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Central limit and other weak theorems (60F05) Length, area, volume and convex sets (aspects of convex geometry) (52A38) Random convex sets and integral geometry (aspects of convex geometry) (52A22)

Related Items (8)

Random inscribed polytopes in projective geometries ⋮ Variance asymptotics and central limit theory for geometric functionals of Poisson cylinder processes ⋮ Volume approximation of strongly \(\mathbb{C} \)-convex domains by random polyhedra ⋮ Facets of spherical random polytopes ⋮ Limit theorems for the volumes of small codimensional random sections of \(\ell_{p}^{n}\)-balls ⋮ Asymptotic normality for random polytopes in non-Euclidean geometries ⋮ Limit theorems for random polytopes with vertices on convex surfaces ⋮ Thin-shell theory for rotationally invariant random simplices

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