Large-nconditional facednessmnof 3D Poisson–Voronoi cells

DOI10.1088/1742-5468/2014/04/P04015zbMath1457.82128arXiv1401.2363OpenAlexW2015026838MaRDI QIDQ3301919

Hendrik Jan Hilhorst

Publication date: 11 August 2020

Published in: Journal of Statistical Mechanics: Theory and Experiment (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1401.2363

Mathematics Subject Classification ID

Monte Carlo methods (65C05) Random walks, random surfaces, lattice animals, etc. in equilibrium statistical mechanics (82B41) Critical phenomena in equilibrium statistical mechanics (82B27) Quasicrystals and aperiodic tilings in discrete geometry (52C23)

Related Items (1)

Planar discrete birth-growth Poisson–Voronoi tessellations with the von Neumann neighbourhood

Cites Work

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• An optimal algorithm for constructing the weighted Voronoi diagram in the plane
• Properties of a three-dimensional Poisson-Voronoi tesselation: a Monte Carlo study
• Heuristic theory for many-facedd-dimensional Poisson–Voronoi cells
• New Monte Carlo method for planar Poisson–Voronoi cells
• The perimeter of large planar Voronoi cells: a double-stranded random walk
• Asymptotic statistics of then-sided planar Poisson–Voronoi cell: I. Exact results
• Planar Voronoi cells: the violation of Aboav's law explained

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