Estimates for distributions of the Voronoi polygon's geometric characteristics

DOI10.1002/rsa.3240030205zbMath0755.60037OpenAlexW2067432859MaRDI QIDQ3990218

Sergei Zuyev

Publication date: 28 June 1992

Published in: Random Structures & Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/rsa.3240030205

zbMATH Keywords

gamma distributionPoisson point processVoronoi tessellation

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55)

Related Items (9)

Calculating the proportion of triangles in a poisson – voronoi tessellation of the plane ⋮ Exponential moments for planar tessellations ⋮ On the measure of Voronoi cells ⋮ A general study of extremes of stationary tessellations with examples ⋮ Recurrence or transience of random walks on random graphs generated by point processes in \(\mathbb{R}^d\) ⋮ An explicit expression for the distribution of the number of sides of the typical Poisson-Voronoi cell ⋮ Precise formulae for the distributions of the principal geometric characteristics of the typical cells of a two-dimensional Poisson-Voronoi tessellation and a Poisson line process ⋮ Large planar Poisson-Voronoi cells containing a given convex body ⋮ Limit theorems for the typical Poisson-Voronoi cell and the Crofton cell with a large inradius

Cites Work

• Unnamed Item
• On the homogeneous planar Poisson point process
• Monte carlo estimates of the distributions of the random polygons of the voronoi tessellation with respect to a poisson process
• On the critical percolation probabilities
• An approximate zero-one law
• Random Subdivisions of Space into Crystals

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