Statistical properties of planar Voronoi tessellations

Abstract

I present a concise review of advances realized over the past three years on planar Poisson-Voronoi tessellations. These encompass new analytic results, a new Monte Carlo method, and application to experimental data.

Talk presented at Statphys 23, Genoa, Italy, July 9-13, 2007. 8 pages, 7 figures. Minor stylistic improvements have been made in this version

References in corpus (4)

• Planar Voronoi cells : the violation of Aboav's law explained
• New Monte Carlo method for planar Poisson-Voronoi cells
• Asymptotic statistics of the n-sided planar Poisson-Voronoi cell. I. Exact results
• The perimeter of large planar Voronoi cells: a double-stranded random walk

Cited by in corpus (8)

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• The VOISE Algorithm: a Versatile Tool for Automatic Segmentation of Astronomical Images
• Numerical evidence against a conjecture on the cover time of planar graphs
• Heuristic theory for many-faced d-dimensional Poisson-Voronoi cells
• Asymptotic statistics of the n-sided planar Voronoi cell: II. Heuristics