메뉴 건너뛰기




Volumn 24, Issue 4, 2004, Pages 461-479

Mixing in time and space for lattice spin systems: A combinatorial view

Author keywords

[No Author keywords available]

Indexed keywords


EID: 5644252784     PISSN: 10429832     EISSN: None     Source Type: Journal    
DOI: 10.1002/rsa.20004     Document Type: Article
Times cited : (101)

References (18)
  • 1
    • 0002811289 scopus 로고
    • Rapid convergence to equilibrium of stochastic Ising models in the Dobrushin Shlosman regime
    • H. Kesten, Ed. Percolation theory and ergodic theory of infinite particle systems. Springer-Verlag, New York
    • M. Aizenman and R. Holley, "Rapid convergence to equilibrium of stochastic Ising models in the Dobrushin Shlosman regime," H. Kesten, Ed. Percolation theory and ergodic theory of infinite particle systems, IMS Volumes in Math and Appl 8, 1-11. Springer-Verlag, New York, 1987.
    • (1987) IMS Volumes in Math and Appl , vol.8 , pp. 1-11
    • Aizenman, M.1    Holley, R.2
  • 3
    • 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
  • 4
    • 0030491030 scopus 로고    scopus 로고
    • On the 2D stochastic Ising model in the phase coexistence region close to the critical point
    • F. Cesi, G. Guadagni, F. Martinelli, and R. H. Schonmann, On the 2D stochastic Ising model in the phase coexistence region close to the critical point, J Statist Phys 85 (1996), 55-102.
    • (1996) J Statist Phys , vol.85 , pp. 55-102
    • Cesi, F.1    Guadagni, G.2    Martinelli, F.3    Schonmann, R.H.4
  • 5
    • 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), 371-403, Birkhäuser, Boston, 1985.
    • (1985) Statistical Mechanics and Dynamical Systems , pp. 371-403
    • Dobrushin, R.L.1    Shlosman, S.B.2
  • 6
    • 0035537294 scopus 로고    scopus 로고
    • Stochastic monotonicity and realizable monotonicity
    • J. A. Fill and M. Machida, Stochastic monotonicity and realizable monotonicity, Ann Probab 29 (2001), 938-978.
    • (2001) Ann Probab , vol.29 , pp. 938-978
    • Fill, J.A.1    Machida, M.2
  • 8
    • 0842337237 scopus 로고    scopus 로고
    • The random geometry of equilibrium phases
    • C. Domb and J. L. Lebowitz (Editors). Academic Press, London
    • H.-O. Georgii, O. Häggström, and C. Maes, "The random geometry of equilibrium phases," Phase transitions and critical phenomena, C. Domb and J. L. Lebowitz (Editors), Volume 18, 1-142. Academic Press, London, 2001.
    • (2001) Phase Transitions and Critical Phenomena , vol.18 , pp. 1-142
    • Georgii, H.-O.1    Häggström, O.2    Maes, C.3
  • 9
    • 0002044944 scopus 로고
    • Possible rates of convergence in finite range, attractive spin systems
    • Particle systems, random media, and large deviations, R. Durret (Editor). American Mathematical Society, Providence, RI
    • R. Holley, "Possible rates of convergence in finite range, attractive spin systems," Particle systems, random media, and large deviations, AMS Volumes on Contemp Math 41 R. Durret (Editor), 215-234. American Mathematical Society, Providence, RI, 1985.
    • (1985) AMS Volumes on Contemp Math , vol.41 , pp. 215-234
    • Holley, R.1
  • 11
    • 0001902871 scopus 로고    scopus 로고
    • Lectures on Glauber dynamics for discrete spin models
    • Lectures on probability theory and statistics (Saint-Flour, 1997). Springer-Verlag, Berlin
    • F. Martinelli, "Lectures on Glauber dynamics for discrete spin models," Lectures on probability theory and statistics (Saint-Flour, 1997), Lecture Notes in Math 1717, 93-191. Springer-Verlag, Berlin, 1998.
    • (1998) Lecture Notes in Math , vol.1717 , pp. 93-191
    • Martinelli, F.1
  • 12
    • 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
  • 13
    • 21344495138 scopus 로고
    • Approach to equilibrium of Glauber dynamics in the one phase region II: The general case
    • F. Martinelli and E. Olivieri, Approach to equilibrium of Glauber dynamics in the one phase region II: The general case, Comm Math Phys 161 (1994), 487-514.
    • (1994) Comm Math Phys , vol.161 , pp. 487-514
    • Martinelli, F.1    Olivieri, E.2
  • 14
    • 21844513092 scopus 로고
    • For Gibbs state of 2D lattice spin systems weak mixing implies strong mixing
    • F. Martinelli, E. Olivieri, and R. H. Schonmann, For Gibbs state of 2D lattice spin systems weak mixing implies strong mixing, Comm Math Phys 165 (1994), 33-47.
    • (1994) Comm Math Phys , vol.165 , pp. 33-47
    • Martinelli, F.1    Olivieri, E.2    Schonmann, R.H.3
  • 15
    • 84971848028 scopus 로고
    • Random growth in a tesselation
    • D. Richardson, Random growth in a tesselation, Proc Cambridge Phil Soc 74 (1973), 515-528.
    • (1973) Proc Cambridge Phil Soc , vol.74 , pp. 515-528
    • Richardson, D.1
  • 16
    • 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
  • 17
    • 21144474878 scopus 로고
    • A uniqueness condition for Gibbs measures, with applications to the 2-dimensional Ising antiferromagnet
    • J. van den Berg, A uniqueness condition for Gibbs measures, with applications to the 2-dimensional Ising antiferromagnet, Comm Math Phys 152 (1993), 161-166.
    • (1993) Comm Math Phys , vol.152 , pp. 161-166
    • Van Den Berg, J.1
  • 18
    • 0000678660 scopus 로고
    • On log-Sobolev inequalities for infinite lattice systems
    • B. Zegarlinski, On log-Sobolev inequalities for infinite lattice systems, Lett Math Phys 20 (1990), 173-182.
    • (1990) Lett Math Phys , vol.20 , pp. 173-182
    • Zegarlinski, B.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.