The thermodynamic limit of polygonal models

zbMath0719.60118MaRDI QIDQ2640254

Donatas Surgailis

Publication date: 1991

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

zbMATH Keywords

Kirkwood-Salzburg equationsconsistent polygonal modelsexistence of a thermodynamic limitMarkov fields of polygonal type

Mathematics Subject Classification ID

Random fields (60G60) Interacting random processes; statistical mechanics type models; percolation theory (60K35)

Related Items (6)

Arak-Clifford-Surgailis tessellations. Basic properties and variance of the total edge length ⋮ Non-homogeneous polygonal Markov fields in the plane: graphical representations and geometry of higher order correlations ⋮ Dobrushin-Kotecký-Shlosman theorem for polygonal Markov fields in the plane ⋮ Polygonal web representation for higher order correlation functions of consistent polygonal Markov fields in the plane ⋮ Disagreement Loop and Path Creation/Annihilation Algorithms for Binary Planar Markov Fields with Applications to Image Segmentation ⋮ Random dynamics and thermodynamic limits for polygonal Markov fields in the plane

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