Length distributions of edges in planar stationary and isotropic STIT tessellations

DOI10.3103/S1068362307010025zbMath1155.60005MaRDI QIDQ944106

Viola Weiß, Werner Nagel, Joseph Mecke

Publication date: 12 September 2008

Published in: Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences (Search for Journal in Brave)

zbMATH Keywords

edgerandom tessellationiteration of tessellationsstable tessellation

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Random convex sets and integral geometry (aspects of convex geometry) (52A22)

Related Items (12)

Spatial Stit Tessellations: Distributional Results for I-Segments ⋮ Stit Tessellations have Trivial Tail σ-Algebra ⋮ Unnamed Item ⋮ Geometry of iteration stable tessellations: connection with Poisson hyperplanes ⋮ Joint distribution of direction and length of typical I-segment in a homogeneous random planar tessellation stable under iteration ⋮ The iteration of random tessellations and a construction of a homogeneous process of cell divisions ⋮ Combinatorial principles in stochastic geometry in the plane: A review ⋮ New Classes of Random Tessellations Arising from Iterative Division of Cells ⋮ A random cell splitting scheme on the sphere ⋮ Some distributions for I-segments of planar random homogeneous STIT tessellations ⋮ Line Segments in the Isotropic Planar Stit Tessellation ⋮ Topological relationships in spatial tessellations

Cites Work

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• Parametric representation of mean values for stationary random mosaies
• Invarianzeigens chaften allgemeiner PALMscher Maße
• Homogeneous rectangular tessellations
• Limits of sequences of stationary planar tessellations
• Random tessellations in ℝ^d
• Crack STIT tessellations: characterization of stationary random tessellations stable with respect to iteration

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