Proofs of the conjectures by Mecke for mixed line-generated tessellations

DOI10.3103/S1068362313040043zbMath1298.60020arXiv1110.5455WikidataQ122975708 ScholiaQ122975708MaRDI QIDQ2439853

E. Biehler

Publication date: 17 March 2014

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

Full work available at URL: https://arxiv.org/abs/1110.5455

zbMATH Keywords

random tessellationSTIT tessellationiteration stabilityMecke's conjecture

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Polyhedra and polytopes; regular figures, division of spaces (51M20)

Cites Work

• Inhomogeneous random planar tessellations generated by lines
• New Classes of Random Tessellations Arising from Iterative Division of Cells
• MEAN VALUES FOR HOMOGENEOUS STIT TESSELLATIONS IN 3D
• 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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