The $\beta$-Delaunay tessellation III: Kendall's problem and limit theorems in high dimensions

zbMath1483.52003arXiv2104.07348MaRDI QIDQ5026466

Zakhar Kabluchko, Anna Gusakova, Christoph Thäle

Publication date: 8 February 2022

Full work available at URL: https://arxiv.org/abs/2104.07348

zbMATH Keywords

central limit theoremlarge deviationsmoderate deviationstypical cellcumulant methodmod-\(\phi\) convergenceweighted typical cellbeta-Delaunay tessellationKendall's problem

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Central limit and other weak theorems (60F05) Large deviations (60F10) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55) Random convex sets and integral geometry (aspects of convex geometry) (52A22)

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The \(\beta \)-Delaunay tessellation. II: the Gaussian limit tessellation ⋮ Sectional Voronoi tessellations: characterization and high-dimensional limits ⋮ The β-Delaunay tessellation IV: Mixing properties and central limit theorems

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