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Volumn 37, Issue 4, 2005, Pages 884-907

Random dynamics and thermodynamic limits for polygonal Markov fields in the plane

Author keywords

Metropolis simulation; Perfect simulation; Phase transition; Polygonal Markov field; Random dynamics; Thermodynamic limit

Indexed keywords

ALGORITHMS; DYNAMICS; FINITE VOLUME METHOD; LOW TEMPERATURE EFFECTS; PHASE TRANSITIONS; THEOREM PROVING; THERMODYNAMICS;

EID: 31944450823     PISSN: 00018678     EISSN: None     Source Type: Journal    
DOI: 10.1239/aap/1134587745     Document Type: Article
Times cited : (14)

References (14)
  • 1
    • 0007288983 scopus 로고
    • On Markovian random fields with finite numbers of values
    • (Tbilisi, USSR, 1982), eds K. Ito and Yu. V. Prokhorov, Springer, New York
    • Arak, T. (1983). On Markovian random fields with finite numbers of values. In Proc. 4th USSR-Japan Symp. Prob. Theory Math. Statist. (Tbilisi, USSR, 1982), eds K. Ito and Yu. V. Prokhorov, Springer, New York.
    • (1983) Proc. 4th USSR-Japan Symp. Prob. Theory Math. Statist
    • Arak, T.1
  • 2
    • 0007221766 scopus 로고
    • Markov fields with polygonal realisations
    • Arak, T. and Surgailis, D. (1989). Markov fields with polygonal realisations. Prob. Theory Relat. Fields 80, 543-579.
    • (1989) Prob. Theory Relat. Fields , vol.80 , pp. 543-579
    • Arak, T.1    Surgailis, D.2
  • 4
    • 0000695129 scopus 로고
    • Point-based polygonal models for random graphs
    • Arak, T., Clifford, P. and Surgailis, D. (1993). Point-based polygonal models for random graphs. Adv. Appl. Prob. 25, 348-372.
    • (1993) Adv. Appl. Prob. , vol.25 , pp. 348-372
    • Arak, T.1    Clifford, P.2    Surgailis, D.3
  • 5
    • 0040192849 scopus 로고
    • A Metropolis sampler for polygonal image reconstruction
    • Preprint, available at
    • Clifford, P. and Nicholls, G. (1994). A Metropolis sampler for polygonal image reconstruction. Preprint, available at http://www.stats.ox.ac.uk/ ~clifford/papers/met_poly.html.
    • (1994)
    • Clifford, P.1    Nicholls, G.2
  • 7
    • 0000645294 scopus 로고    scopus 로고
    • Measures on contour, polymer or animal models. A probabilistic approach
    • Fernández, R., Ferrari, P. and Garcia, N. (1998). Measures on contour, polymer or animal models. A probabilistic approach. Markov Process. Relat. Fields 4, 479-497.
    • (1998) Markov Process. Relat. Fields , vol.4 , pp. 479-497
    • Fernández, R.1    Ferrari, P.2    Garcia, N.3
  • 8
    • 0036830424 scopus 로고    scopus 로고
    • Perfect simulation for interacting point processes, loss networks and Ising models
    • Fernández, R., Ferrari, P. and Garcia, N. (2002). Perfect simulation for interacting point processes, loss networks and Ising models. Stoch. Process. Appl. 102, 63-88.
    • (2002) Stoch. Process. Appl. , vol.102 , pp. 63-88
    • Fernández, R.1    Ferrari, P.2    Garcia, N.3
  • 11
    • 0035534224 scopus 로고    scopus 로고
    • Spontaneous magnetisation in the plane
    • Nicholls, G. K. (2001). Spontaneous magnetisation in the plane. J. Statist. Phys. 102, 1229-1251.
    • (2001) J. Statist. Phys. , vol.102 , pp. 1229-1251
    • Nicholls, G.K.1
  • 12
    • 31944443242 scopus 로고    scopus 로고
    • Mixing properties for polygonal Markov fields in the plane
    • Submitted
    • Schreiber, T. (2004). Mixing properties for polygonal Markov fields in the plane. Submitted.
    • (2004)
    • Schreiber, T.1
  • 14
    • 0007160918 scopus 로고
    • Thermodynamic limit of polygonal models
    • Surgailis, D. (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.