The volume of simplices in high-dimensional Poisson-Delaunay tessellations

DOI10.5802/ahl.68zbMath1483.52004arXiv1909.05589OpenAlexW3122059223MaRDI QIDQ2077150

Christoph Thäle, Anna Gusakova

Publication date: 24 February 2022

Published in: Annales Henri Lebesgue (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1909.05589

zbMATH Keywords

cumulantsstochastic geometrycentral limit theoremlarge deviationsmoderate deviationsBerry-Esseen boundhigh dimensionsrandom simplexmod-\(\phi\) convergencePoisson-Delaunay tessellation

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Central limit and other weak theorems (60F05) Large deviations (60F10) Random convex sets and integral geometry (aspects of convex geometry) (52A22)

Related Items (5)

The method of cumulants for the normal approximation ⋮ The -Delaunay tessellation: Description of the model and geometry of typical cells ⋮ Limit theorems for the volumes of small codimensional random sections of \(\ell_{p}^{n}\)-balls ⋮ The $\beta$-Delaunay tessellation III: Kendall's problem and limit theorems in high dimensions ⋮ Thin-shell theory for rotationally invariant random simplices

Uses Software

• DLMF

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