The \(\beta \)-Delaunay tessellation. II: the Gaussian limit tessellation

DOI10.1214/22-EJP782zbMath1491.60019arXiv2101.11316OpenAlexW4285255245MaRDI QIDQ2144345

Christoph Thäle, Zakhar Kabluchko, Anna Gusakova

Publication date: 13 June 2022

Published in: Electronic Journal of Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2101.11316

zbMATH Keywords

Laguerre tessellation\(\beta'\)-Delaunay tessellation\(\beta\)-Delaunay tessellationexpected angle sumsGaussian simplexGaussian-Delaunay tessellationparaboloid convexityvolume momentsweak limit of random tessellationsweighted typical cell

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Functional limit theorems; invariance principles (60F17) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55) Random convex sets and integral geometry (aspects of convex geometry) (52A22)

Related Items (2)

Sectional Voronoi tessellations: characterization and high-dimensional limits ⋮ The β-Delaunay tessellation IV: Mixing properties and central limit theorems

Uses Software

• DLMF

Cites Work

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