How many T-tessellations on k lines? Existence of associated Gibbs measures on bounded convex domains

DOI10.1002/rsa.20557zbMath1366.60026arXiv1012.2182OpenAlexW2029963353MaRDI QIDQ3452730

Jonas Kahn

Publication date: 13 November 2015

Published in: Random Structures & Algorithms (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1012.2182

zbMATH Keywords

stochastic geometryenumerative combinatoricspolygonal Markov fieldsT-tessellations

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Combinatorial aspects of tessellation and tiling problems (05B45)

Cites Work

• Arak-Clifford-Surgailis tessellations. Basic properties and variance of the total edge length
• New Classes of Random Tessellations Arising from Iterative Division of Cells
• Homogeneous rectangular tessellations
• Point-based polygonal models for random graphs
• Crack STIT tessellations: characterization of stationary random tessellations stable with respect to iteration

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