Markov fields with polygonal realizations

DOI10.1007/BF00318906zbMath0638.60091WikidataQ56522026 ScholiaQ56522026MaRDI QIDQ1099510

T. Arak, Donatas Surgailis

Publication date: 1989

Published in: Probability Theory and Related Fields (Search for Journal in Brave)

zbMATH Keywords

Markov random fieldsevolution of a system of one-dimensional particles

Mathematics Subject Classification ID

Random fields (60G60) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Markov processes (60J99)

Related Items (14)

Perfect Simulation for Length‐interacting Polygonal Markov Fields in the Plane ⋮ Gibbs Delaunay tessellations with geometric hardcore conditions ⋮ Arak-Clifford-Surgailis tessellations. Basic properties and variance of the total edge length ⋮ Image segmentation by polygonal Markov fields ⋮ Non-homogeneous polygonal Markov fields in the plane: graphical representations and geometry of higher order correlations ⋮ On weak convergence of random fields ⋮ Inference of a Hidden Spatial Tessellation from Multivariate Data: Application to the Delineation of Homogeneous Regions in an Agricultural Field ⋮ Consistent polygonal fields ⋮ 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 ⋮ Random dynamics and thermodynamic limits for polygonal Markov fields in the plane ⋮ A metric space of discontinuous functions on the plane ⋮ Discrete Multicolour Random Mosaics with an Application to Network Extraction ⋮ Branching random tessellations with interaction: a thermodynamic view

Cites Work

• Markov property of random fields
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