Second-Order Theory for Iteration Stable Tessellations
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Publication:4908839
zbMath1270.60019arXiv1103.3959MaRDI QIDQ4908839
Christoph Thäle, Tomasz Schreiber
Publication date: 7 March 2013
Full work available at URL: https://arxiv.org/abs/1103.3959
iterationstochastic stabilityrandom tessellationnestingpair-correlation functionchord-power integralstochastic stability function
Geometric probability and stochastic geometry (60D05) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55) Random convex sets and integral geometry (aspects of convex geometry) (52A22)
Related Items (10)
Cell Shape Analysis of Random Tessellations Based on Minkowski Tensors ⋮ Second-order characteristics of the edge system of random tessellations and the PPI value of foams ⋮ Splitting tessellations in spherical spaces ⋮ Some inequalities for chord power integrals of parallelotopes ⋮ Does a central limit theorem hold for the \(k\)-skeleton of Poisson hyperplanes in hyperbolic space? ⋮ Second-order properties for planar Mondrian tessellations ⋮ Geometry of iteration stable tessellations: connection with Poisson hyperplanes ⋮ A random cell splitting scheme on the sphere ⋮ A Mecke-type formula and Markov properties for STIT tessellation processes ⋮ Branching random tessellations with interaction: a thermodynamic view
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