Estimates for distributions of the Voronoi polygon's geometric characteristics
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Publication:3990218
DOI10.1002/rsa.3240030205zbMath0755.60037OpenAlexW2067432859MaRDI QIDQ3990218
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
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
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