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Volumn 25, Issue 3, 1997, Pages 1316-1333

A constructive mixing condition for 2-D Gibbs measures with random interactions

Author keywords

Gibbs measures; Mixing; Percolation; Random interactions

Indexed keywords


EID: 0031511875     PISSN: 00911798     EISSN: None     Source Type: Journal    
DOI: 10.1214/aop/1024404515     Document Type: Article
Times cited : (7)

References (11)
  • 1
    • 0040407164 scopus 로고
    • Uniqueness of a Gibbs field with random potential: An elementary approach
    • BASSALYGO, L. A. and DOBRUSHIN, R. L. (1986). Uniqueness of a Gibbs field with random potential: an elementary approach. Theory Probab. Appl. 31 572-589.
    • (1986) Theory Probab. Appl. , vol.31 , pp. 572-589
    • Bassalygo, L.A.1    Dobrushin, R.L.2
  • 2
    • 21144474878 scopus 로고
    • A uniqueness condition for Gibbs measures, with application to the two-dimensional Ising antiferromagnet
    • VAN DEN BERG, J. (1993). A uniqueness condition for Gibbs measures, with application to the two-dimensional Ising antiferromagnet. Comm. Math. Phys. 152 161-166.
    • (1993) Comm. Math. Phys. , vol.152 , pp. 161-166
    • Van Den Berg, J.1
  • 3
    • 0000061166 scopus 로고
    • Disagreement percolation in the study of Markov fields
    • VAN DEN BERG, J. and MAES, C. (1994). Disagreement percolation in the study of Markov fields. Ann. Probab. 22 749-763.
    • (1994) Ann. Probab. , vol.22 , pp. 749-763
    • Van Den Berg, J.1    Maes, C.2
  • 4
    • 0011663981 scopus 로고
    • The problem of uniqueness of a Gibbs random field and the problem of phase transition
    • DOBRUSHIN, R. L. (1968). The problem of uniqueness of a Gibbs random field and the problem of phase transition. Funct. Anal. Appl. 2 302-312.
    • (1968) Funct. Anal. Appl. , vol.2 , pp. 302-312
    • Dobrushin, R.L.1
  • 5
    • 0009394762 scopus 로고
    • Constructive criterion for the uniqueness of a Gibbs field
    • J. Fritz, A. Jaffe and D. Szász, eds. Birkhäuser, Boston
    • DOBRUSHIN, R. L. and SHLOSMAN, S. B. (1985). Constructive criterion for the uniqueness of a Gibbs field. In Statistical Mechanics and Dynamical Systems (J. Fritz, A. Jaffe and D. Szász, eds.) 371-403. Birkhäuser, Boston.
    • (1985) Statistical Mechanics and Dynamical Systems , pp. 371-403
    • Dobrushin, R.L.1    Shlosman, S.B.2
  • 7
    • 21844484605 scopus 로고
    • The uniqueness regime of Gibbs fields with unbounded disorder
    • GIELIS, G. and MAES, C. (1995). The uniqueness regime of Gibbs fields with unbounded disorder. J. Statist. Phys. 81 829-835.
    • (1995) J. Statist. Phys. , vol.81 , pp. 829-835
    • Gielis, G.1    Maes, C.2
  • 10
    • 21844513092 scopus 로고
    • For 2-D lattice spin systems weak mixing implies strong mixing
    • MARTINELLI, F., OLIVIERI, E. and SCHONMANN, R. (1994). For 2-D lattice spin systems weak mixing implies strong mixing. Comm. Math. Phys. 165 33-47.
    • (1994) Comm. Math. Phys. , vol.165 , pp. 33-47
    • Martinelli, F.1    Olivieri, E.2    Schonmann, R.3
  • 11
    • 0003383184 scopus 로고
    • Disordered Ising systems and random cluster representations
    • NEWMAN, C. M. (1994). Disordered Ising systems and random cluster representations. NATO Adv. Sci. Inst. Ser. C 420 247-260.
    • (1994) NATO Adv. Sci. Inst. Ser. C , vol.420 , pp. 247-260
    • Newman, C.M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.