New Classes of Random Tessellations Arising from Iterative Division of Cells
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Publication:3566391
DOI10.1239/aap/1269611142zbMath1205.60028OpenAlexW1996353590MaRDI QIDQ3566391
Publication date: 7 June 2010
Published in: Advances in Applied Probability (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1239/aap/1269611142
Geometric probability and stochastic geometry (60D05) Combinatorial aspects of tessellation and tiling problems (05B45) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55)
Related Items (9)
Cell Shape Analysis of Random Tessellations Based on Minkowski Tensors ⋮ Spatial Stit Tessellations: Distributional Results for I-Segments ⋮ How many T-tessellations on k lines? Existence of associated Gibbs measures on bounded convex domains ⋮ Random partitions of the plane via Poissonian coloring and a self-similar process of coalescing planar partitions ⋮ Proofs of the conjectures by Mecke for mixed line-generated tessellations ⋮ Inhomogeneous random planar tessellations generated by lines ⋮ Shape-driven nested Markov tessellations ⋮ Intrinsic volumes of the maximal polytope process in higher dimensional STIT tessellations ⋮ Topological relationships in spatial tessellations
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