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Volumn 65, Issue 2, 1996, Pages 209-216

Percolation and ferromagnetism on ℤ2: The q-state potts cases

Author keywords

FKG inequalities; Percolation; Potts models; Random cluster models

Indexed keywords


EID: 0030604342     PISSN: 03044149     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0304-4149(96)00106-8     Document Type: Article
Times cited : (18)

References (15)
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  • 2
    • 0001937199 scopus 로고
    • The phase boundary in dilute and random Ising and Potts ferromagnets
    • M. Aizenman, J.T. Chayes, L. Chayes and C.M. Newman, The phase boundary in dilute and random Ising and Potts ferromagnets, J. Phys. A Math Gen 20 (1987) L313-L318.
    • (1987) J. Phys. A Math Gen , vol.20
    • Aizenman, M.1    Chayes, J.T.2    Chayes, L.3    Newman, C.M.4
  • 4
    • 0011588717 scopus 로고
    • An upper bound on the critical probability for the three-dimensional cubic lattice
    • M. Campanino and L. Russo, An upper bound on the critical probability for the three-dimensional cubic lattice, Ann. Probab. 13 (1985) 478-491.
    • (1985) Ann. Probab. , vol.13 , pp. 478-491
    • Campanino, M.1    Russo, L.2
  • 6
    • 0000008424 scopus 로고
    • Percolation points and critical points in the Ising model
    • A. Coniglio, C.R. Nappi, F. Peruggi and L. Russo, Percolation points and critical points in the Ising model, J. Phys. A 10 (1977) 205.
    • (1977) J. Phys. A , vol.10 , pp. 205
    • Coniglio, A.1    Nappi, C.R.2    Peruggi, F.3    Russo, L.4
  • 7
    • 0000412970 scopus 로고
    • On the uniqueness of the infinite occupied cluster in dependent two-dimensional site percolation
    • A. Gandolfi, M. Keane and L. Russo, On the uniqueness of the infinite occupied cluster in dependent two-dimensional site percolation, Ann. Probab. 16 (1988) 1147-1157.
    • (1988) Ann. Probab. , vol.16 , pp. 1147-1157
    • Gandolfi, A.1    Keane, M.2    Russo, L.3
  • 9
    • 6144248612 scopus 로고
    • Agreement percolation and phase coexistence in some Gibbs systems
    • G. Giacomin, J.L. Lebowitz and C. Maes, Agreement percolation and phase coexistence in some Gibbs systems, J. Statist. Phys. 22 (1995) 1379-1403.
    • (1995) J. Statist. Phys. , vol.22 , pp. 1379-1403
    • Giacomin, G.1    Lebowitz, J.L.2    Maes, C.3
  • 11
    • 21344498625 scopus 로고
    • Potts models and random-cluster processes with many body interactions
    • G. Grimmett, Potts models and random-cluster processes with many body interactions, J. Statist. Phys. 75 (1994) 67-121.
    • (1994) J. Statist. Phys. , vol.75 , pp. 67-121
    • Grimmett, G.1
  • 12
    • 21344436631 scopus 로고
    • The stochatic random-cluster process and the uniqueness of random-cluster measures
    • G. Grimmett, The stochatic random-cluster process and the uniqueness of random-cluster measures, Ann. Probab. 23 (1995) 1461-1510.
    • (1995) Ann. Probab. , vol.23 , pp. 1461-1510
    • Grimmett, G.1
  • 13
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    • First-order phase transitions in large entropy lattice models
    • R. Kotecký and S.B. Shlosman, First-order phase transitions in large entropy lattice models, Commun. Math. Phys. 83 (1982) 493-515.
    • (1982) Commun. Math. Phys. , vol.83 , pp. 493-515
    • Kotecký, R.1    Shlosman, S.B.2
  • 14
    • 0001964461 scopus 로고
    • Interfaces in the potts model I: Pirogov-Sinai theory of the fortuin kasteleyn representation
    • L. Laanait, A. Messarer, S. Miracle-Sole, J. Ruiz and S. Shlosman, Interfaces in the potts model I: Pirogov-Sinai theory of the fortuin Kasteleyn representation, Comm. Math. Phys. 140 (1991) 81-91.
    • (1991) Comm. Math. Phys. , vol.140 , pp. 81-91
    • Laanait, L.1    Messarer, A.2    Miracle-Sole, S.3    Ruiz, J.4    Shlosman, S.5


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.