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Volumn 132, Issue 4, 2008, Pages 669-705

Non-homogeneous polygonal Markov fields in the plane: Graphical representations and geometry of higher order correlations

Author keywords

Arak Surgailis polygonal Markov fields; Dynamic representation; Graphical construction; Higher order correlation functions; Two dimensional Ising model

Indexed keywords


EID: 49249100717     PISSN: 00224715     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10955-008-9584-1     Document Type: Article
Times cited : (6)

References (18)
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    • R. Fernández P. Ferrari N. Garcia 1998 Measures on contour, polymer or animal models. A probabilistic approach Markov Processes Relat. Fields 4 479 497
    • (1998) Markov Processes Relat. Fields , vol.4 , pp. 479-497
    • Fernández, R.1    Ferrari, P.2    Garcia, N.3
  • 8
    • 0035537297 scopus 로고    scopus 로고
    • Loss network representation of Ising contours
    • R. Fernández P. Ferrari N. Garcia 2001 Loss network representation of Ising contours Ann. Probab. 29 902 937
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    • Fernández, R.1    Ferrari, P.2    Garcia, N.3
  • 9
    • 0036830424 scopus 로고    scopus 로고
    • Perfect simulation for interacting point processes, loss networks and Ising models
    • R. Fernández P. Ferrari N. Garcia 2002 Perfect simulation for interacting point processes, loss networks and Ising models Stoch. Process. Their Appl. 102 63 88
    • (2002) Stoch. Process. Their Appl. , vol.102 , pp. 63-88
    • Fernández, R.1    Ferrari, P.2    Garcia, N.3
  • 10
    • 33745124394 scopus 로고    scopus 로고
    • An algorithm for binary image segmentation using polygonal Markov fields
    • Roli, F., Vitulano, S. (eds.) Image Analysis and Processing, Proceedings of the 13th International Conference on Image Analysis and Processing Springer Berlin
    • Kluszczyński, R., van Lieshout, M.N.M., Schreiber, T.: An algorithm for binary image segmentation using polygonal Markov fields. In: Roli, F., Vitulano, S. (eds.) Image Analysis and Processing, Proceedings of the 13th International Conference on Image Analysis and Processing. Lecture Notes in Comput. Sci., vol. 3615, pp. 383-390. Springer, Berlin (2005)
    • (2005) Lecture Notes in Comput. Sci. , vol.3615 , pp. 383-390
    • Kluszczyński, R.1    Van Lieshout, M.N.M.2    Schreiber, T.3
  • 12
    • 34547995183 scopus 로고    scopus 로고
    • Perfect simulation for length-interacting polygonal Markov fields in the plane
    • M.N.M. van Lieshout T. Schreiber 2007 Perfect simulation for length-interacting polygonal Markov fields in the plane Scand. J. Statist. 34 615 625
    • (2007) Scand. J. Statist. , vol.34 , pp. 615-625
    • Van Lieshout, M.N.M.1    Schreiber, T.2
  • 14
    • 0035534224 scopus 로고    scopus 로고
    • Spontaneous magnetization in the plane
    • G.K. Nicholls 2001 Spontaneous magnetization in the plane J. Stat. Phys. 102 1229 1251
    • (2001) J. Stat. Phys. , vol.102 , pp. 1229-1251
    • Nicholls, G.K.1
  • 15
    • 31944450823 scopus 로고    scopus 로고
    • Random dynamics and thermodynamic limits for polygonal Markov fields in the plane
    • T. Schreiber 2005 Random dynamics and thermodynamic limits for polygonal Markov fields in the plane Adv. Appl. Probab. 37 884 907
    • (2005) Adv. Appl. Probab. , vol.37 , pp. 884-907
    • Schreiber, T.1
  • 16
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    • Dobrushin-Kotecký-Shlosman theorem for polygonal Markov fields in the plane
    • T. Schreiber 2006 Dobrushin-Kotecký-Shlosman theorem for polygonal Markov fields in the plane J. Stat. Phys. 123 631 684
    • (2006) J. Stat. Phys. , vol.123 , pp. 631-684
    • Schreiber, T.1
  • 18
    • 0007160918 scopus 로고
    • Thermodynamic limit of polygonal models
    • D. Surgailis 1991 Thermodynamic limit of polygonal models Acta Appl. Math. 22 77 102
    • (1991) Acta Appl. Math. , vol.22 , pp. 77-102
    • Surgailis, D.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.