Second-order properties for planar Mondrian tessellations

DOI10.1007/s11009-023-10017-2zbMath1526.60014arXiv2204.13470OpenAlexW4360866764MaRDI QIDQ6170555

Kathrin Meier, Carina Betken, Tom Kaufmann, Christoph Thäle

Publication date: 13 July 2023

Published in: Methodology and Computing in Applied Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2204.13470

zbMATH Keywords

stochastic geometrypair-correlation functionSTIT tessellationcross-correlation functionMondrian tessellationstable under iterationvariance asymptotic

Mathematics Subject Classification ID

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

Cites Work

• Unnamed Item
• Geometry of iteration stable tessellations: connection with Poisson hyperplanes
• Second-order properties and central limit theory for the vertex process of iteration infinitely divisible and iteration stable random tessellations in the plane
• Stochastic and Integral Geometry
• An Introduction to the Theory of Point Processes
• Second-Order Theory for Iteration Stable Tessellations
• Lectures on the Poisson Process
• A global construction of homogeneous random planar tessellations that are stable under iteration
• Crack STIT tessellations: characterization of stationary random tessellations stable with respect to iteration

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