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Volumn 27, Issue 4, 2005, Pages 445-475

Combinatorial criteria for uniqueness of Gibbs measures

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EID: 30544455297     PISSN: 10429832     EISSN: None     Source Type: Journal    
DOI: 10.1002/rsa.20073     Document Type: Review
Times cited : (69)

References (22)
  • 4
    • 0035620807 scopus 로고    scopus 로고
    • Quasi-factorization of the entropy and logarithmic Sobolev inequalities for Gibbs random fields
    • F. Cesi, Quasi-factorization of the entropy and logarithmic Sobolev inequalities for Gibbs random fields, Probab Theory Related Fields 120 (2001), 569-584.
    • (2001) Probab Theory Related Fields , vol.120 , pp. 569-584
    • Cesi, F.1
  • 5
    • 0000080779 scopus 로고
    • Prescribing a system of random variables by the help of conditional distributions
    • R. L. Dobrushin, "Prescribing a system of random variables by the help of conditional distributions," Theory Prob and its Appl 15 (1970), pp. 469-497.
    • (1970) Theory Prob and Its Appl , vol.15 , pp. 469-497
    • Dobrushin, R.L.1
  • 6
    • 0002498186 scopus 로고
    • Constructive criterion for the uniqueness of a Gibbs field
    • J. Fritz, A. Jaffe, and D. Szasz, (Editors), Birkhäuser, Boston
    • R. L. Dobrushin and S. B. Shlosman, "Constructive criterion for the uniqueness of a Gibbs field," Statistical mechanics and dynamical systems, J. Fritz, A. Jaffe, and D. Szasz, (Editors), Birkhäuser, Boston, 1985, pp. 347-370.
    • (1985) Statistical Mechanics and Dynamical Systems , pp. 347-370
    • Dobrushin, R.L.1    Shlosman, S.B.2
  • 7
    • 0002498186 scopus 로고
    • Completely analytical Gibbs fields
    • J. Fritz, A. Jaffe, and D. Szasz, (Editors), Birkhäuser, Boston
    • R. L. Dobrushin and S. B. Shlosman, "Completely analytical Gibbs fields," Statistical mechanics and dynamical systems, J. Fritz, A. Jaffe, and D. Szasz, (Editors), Birkhäuser, Boston, 1985, pp. 371-403.
    • (1985) Statistical Mechanics and Dynamical Systems , pp. 371-403
    • Dobrushin, R.L.1    Shlosman, S.B.2
  • 8
    • 0003000289 scopus 로고    scopus 로고
    • On Markov chains for independent sets
    • M. Dyer and C. Greenhill, On Markov chains for independent sets, J Algorithms 35 (2000), 17-49.
    • (2000) J Algorithms , vol.35 , pp. 17-49
    • Dyer, M.1    Greenhill, C.2
  • 9
    • 5644252784 scopus 로고    scopus 로고
    • Mixing in time and space for lattice spin systems: A combinatorial view
    • M. Dyer, A. Sinclair, E. Vigoda, and D. Weitz, Mixing in time and space for lattice spin systems: A combinatorial view, Random Structures and Algorithms, 24 (2004), 461-479.
    • (2004) Random Structures and Algorithms , vol.24 , pp. 461-479
    • Dyer, M.1    Sinclair, A.2    Vigoda, E.3    Weitz, D.4
  • 11
    • 0842337237 scopus 로고    scopus 로고
    • The random geometry of equilibrium phases
    • C. Domb and J. L. Lebowitz, (Editors), Academic, London
    • H.-O. Georgii, O. Häggström, and C. Macs, "The random geometry of equilibrium phases," Phase transitions and critical phenomena, C. Domb and J. L. Lebowitz, (Editors), Volume 18, Academic, London, 2001, pp. 1-142.
    • (2001) Phase Transitions and Critical Phenomena , vol.18 , pp. 1-142
    • Georgii, H.-O.1    Häggström, O.2    Macs, C.3
  • 12
    • 0037089342 scopus 로고    scopus 로고
    • Uniqueness of uniform random colorings of regular trees
    • J. Jonasson. Uniqueness of uniform random colorings of regular trees, Statist Probab Lett 57 (2002), 243-248.
    • (2002) Statist Probab Lett , vol.57 , pp. 243-248
    • Jonasson, J.1
  • 14
    • 0001902871 scopus 로고    scopus 로고
    • Lectures on Glauber dynamics for discrete spin models
    • Lectures on probability theory and statistics (Saint-Flour, 1997), Springer, Berlin
    • F. Martinelli, "Lectures on Glauber dynamics for discrete spin models," Lectures on probability theory and statistics (Saint-Flour, 1997), Lecture Notes in Mathematics 1717, Springer, Berlin, 1998, pp. 93-191.
    • (1998) Lecture Notes in Mathematics 1717 , pp. 93-191
    • Martinelli, F.1
  • 15
    • 34249767236 scopus 로고
    • Approach to equilibrium of Glauber dynamics in the one phase region I: The attractive case
    • F. Martinelli and E. Olivieri, "Approach to equilibrium of Glauber dynamics in the one phase region I: The attractive case," Comm Math Phys 161 (1994), 447-486.
    • (1994) Comm Math Phys , vol.161 , pp. 447-486
    • Martinelli, F.1    Olivieri, E.2
  • 16
    • 5644296193 scopus 로고    scopus 로고
    • Glauber dynamics on trees: Boundry conditions and mixing time
    • F. Martinelli, A. Sinclair and D. Weitz, Glauber dynamics on trees: boundry conditions and mixing time, Comm Math Phys 250 (2004), 301-334.
    • (2004) Comm Math Phys , vol.250 , pp. 301-334
    • Martinelli, F.1    Sinclair, A.2    Weitz, D.3
  • 19
    • 0038967484 scopus 로고    scopus 로고
    • Absence of phase transition for antiferromagnetic Potts models via the Dobrushin uniqueness theorem
    • J. Salas and A. D. Sokal, Absence of phase transition for antiferromagnetic Potts models via the Dobrushin uniqueness theorem. J Statist Phys 86 (1997). 551-579.
    • (1997) J Statist Phys , vol.86 , pp. 551-579
    • Salas, J.1    Sokal, A.D.2
  • 20
    • 0000858580 scopus 로고    scopus 로고
    • Lectures on finite Markov chains
    • Lectures on probability theory and statistics (Saint-Flour, 1996), Springer, Berlin
    • L. Saloff-Coste, "Lectures on finite Markov chains," Lectures on probability theory and statistics (Saint-Flour, 1996), Lecture Notes in Mathematics 1665, Springer, Berlin, 1997, pp. 301-413.
    • (1997) Lecture Notes in Mathematics 1665 , pp. 301-413
    • Saloff-Coste, L.1
  • 21
    • 0000284028 scopus 로고
    • The logarithmic Sobolev inequality for discrete spin systems on a lattice
    • D. W. Stroock and B. Zegarlinski, The logarithmic Sobolev inequality for discrete spin systems on a lattice, Comm Math Phys 149 (1992), 175-194.
    • (1992) Comm Math Phys , vol.149 , pp. 175-194
    • Stroock, D.W.1    Zegarlinski, B.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.