Markov fields with polygonal realizations
type: Item
instance of: scholarly article
title: Markov fields with polygonal realizations
zbMATH Open document ID: 0638.60091
DOI: 10.1007/BF00318906
author: T. Arak
author: Donatas Surgailis
publication date: 1989-01-01T00:00:00Z
review text: We define a new class of Markov random fields with two-dimensional parameter \(z\in T\subset {\mathbb{R}}^ 2,\) which take a finite number of values separated by random polygonal boundaries. In some special cases, these random fields are consistent in T and allow an alternative description in terms of the equilibrium evolution of a system of one- dimensional particles.
Mathematics Subject Classification ID: 60J99
Mathematics Subject Classification ID: 60G60
Mathematics Subject Classification ID: 60K35
zbMATH DE Number: 4040999
zbMATH Keywords: Markov random fields
zbMATH Keywords: evolution of a system of one-dimensional particles
Wikidata QID: Q56522026
MaRDI profile type: Publication
cites work: Q3291025
cites work: Markov property of random fields
cites work: Q5564295
published in: Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete
description: scientific article; zbMATH DE number 4040999