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Volumn 37, Issue 2, 2001, Pages 223-243

The equivalence of the log-Sobolev inequality and a mixing condition for unbounded spin systems on the lattice

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EID: 0042410550     PISSN: 02460203     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0246-0203(00)01066-9     Document Type: Article
Times cited : (34)

References (29)
  • 1
    • 0000920853 scopus 로고
    • Logarithmic Sobolev inequalities and exponential integrability
    • Aida S., Masuda T., Shigekawa I. Logarithmic Sobolev inequalities and exponential integrability. J. Funct. Anal. 126:(1):1994;83-101.
    • (1994) J. Funct. Anal. , vol.126 , Issue.1 , pp. 83-101
    • Aida, S.1    Masuda, T.2    Shigekawa, I.3
  • 5
    • 0000764561 scopus 로고
    • Compactness and maximal Gibbs state for random Gibbs fields on the lattice
    • Bellissard J., Høegh-Krohn R. Compactness and maximal Gibbs state for random Gibbs fields on the lattice. Comm. Math. Phys. 84:1982;297-327.
    • (1982) Comm. Math. Phys. , vol.84 , pp. 297-327
    • Bellissard, J.1    Høegh-Krohn, R.2
  • 6
    • 0000627593 scopus 로고    scopus 로고
    • Log-Sobolev inequality for unbounded spin systems
    • Bodineau T., Helffer B. Log-Sobolev inequality for unbounded spin systems. J. Funct. Anal. 166:1999;168-178.
    • (1999) J. Funct. Anal. , vol.166 , pp. 168-178
    • Bodineau, T.1    Helffer, B.2
  • 7
  • 8
    • 0000273842 scopus 로고
    • Processus de diffusion associe aux mesures de Gibbs
    • Doss H., Royer G. Processus de diffusion associe aux mesures de Gibbs. Z. Wahrsch. verw. Gebiete. 46:1978;107-124.
    • (1978) Z. Wahrsch. Verw. Gebiete , vol.46 , pp. 107-124
    • Doss, H.1    Royer, G.2
  • 9
    • 0002498186 scopus 로고
    • Constructive criterion for the uniqueness of Gibbs field
    • J. Fritz, A. Jaffe, & D. Szasz. Birkhäuser
    • Dobrushin R.L., Shlosman S. Constructive criterion for the uniqueness of Gibbs field. Fritz J., Jaffe A., Szasz D. Statistical Physics and Dynamical Systems. 1985;Birkhäuser.
    • (1985) Statistical Physics and Dynamical Systems
    • Dobrushin, R.L.1    Shlosman, S.2
  • 11
    • 0001217140 scopus 로고
    • Completely analytical interactions: Constructive description
    • Dobrushin R.L., Shlosman S. Completely analytical interactions: Constructive description. J. Stat. Phys. 46:1987;983-1014.
    • (1987) J. Stat. Phys. , vol.46 , pp. 983-1014
    • Dobrushin, R.L.1    Shlosman, S.2
  • 14
    • 0039462300 scopus 로고    scopus 로고
    • Remarks on the decay of correlations and Witten Laplacians III - Application to logarithmic Sobolev inequalities
    • Helffer B. Remarks on the decay of correlations and Witten Laplacians III - Application to logarithmic Sobolev inequalities. Ann. de l'Insti. H. Poincaré (Sect. Probab-Stat). 1998.
    • (1998) Ann. de l'Insti. H. Poincaré (Sect. Probab-Stat)
    • Helffer, B.1
  • 15
    • 0001359676 scopus 로고
    • Logarithmic Sobolev inequality and stochastic Ising models
    • Holley R., Stroock D.W. Logarithmic Sobolev inequality and stochastic Ising models. J. Stat. Phys. 46:1987;1159-1194.
    • (1987) J. Stat. Phys. , vol.46 , pp. 1159-1194
    • Holley, R.1    Stroock, D.W.2
  • 19
    • 21144481999 scopus 로고
    • Spectral gap and logarithmic Sobolev inequality for Kawasaki and Glauber dynamics
    • Lu S.L., Yau H.T. Spectral gap and logarithmic Sobolev inequality for Kawasaki and Glauber dynamics. Comm. Math. Phys. 156:1993;399-433.
    • (1993) Comm. Math. Phys. , vol.156 , pp. 399-433
    • Lu, S.L.1    Yau, H.T.2
  • 20
    • 34249767236 scopus 로고
    • Approach to equilibrium of Glauber dynamics in the one phase region I: Attractive case
    • Martinelli F., Olivieri E. Approach to equilibrium of Glauber dynamics in the one phase region I: Attractive case. Comm. Math. Phys. 161:1994;447-486.
    • (1994) Comm. Math. Phys. , vol.161 , pp. 447-486
    • Martinelli, F.1    Olivieri, E.2
  • 21
    • 21344495138 scopus 로고
    • Approach to equilibrium of Glauber dynamics in the one phase region II: General case
    • Martinelli F., Olivieri E. Approach to equilibrium of Glauber dynamics in the one phase region II: General case. Comm. Math. Phys. 161:1994;487-514.
    • (1994) Comm. Math. Phys. , vol.161 , pp. 487-514
    • Martinelli, F.1    Olivieri, E.2
  • 23
    • 0001530568 scopus 로고
    • The equivalence of the logarithmic Sobolev inequality and the Dobrushin-Shlosman mixing condition
    • Stroock D.W., Zegarlinski B. The equivalence of the logarithmic Sobolev inequality and the Dobrushin-Shlosman mixing condition. Comm. Math. Phys. 144:1992;303-323.
    • (1992) Comm. Math. Phys. , vol.144 , pp. 303-323
    • Stroock, D.W.1    Zegarlinski, B.2
  • 24
    • 0000284028 scopus 로고
    • The logarithmic Sobolev inequality for discrete spin systems on the lattice
    • Stroock D.W., Zegarlinski B. The logarithmic Sobolev inequality for discrete spin systems on the lattice. Comm. Math. Phys. 149:1992;175-193.
    • (1992) Comm. Math. Phys. , vol.149 , pp. 175-193
    • Stroock, D.W.1    Zegarlinski, B.2
  • 25
    • 0043200362 scopus 로고    scopus 로고
    • Private communication
    • Sugiura M., Private communication.
    • Sugiura, M.1
  • 26
    • 0000433477 scopus 로고
    • Sobolev spaces on a Riemannian manifold and their equivalence
    • Yoshida N. Sobolev spaces on a Riemannian manifold and their equivalence. J. Math. Kyoto Univ. 33:1992;621-654.
    • (1992) J. Math. Kyoto Univ. , vol.33 , pp. 621-654
    • Yoshida, N.1
  • 27
    • 0033453068 scopus 로고    scopus 로고
    • The log-Sobolev inequality for weakly coupled lattice fields
    • Yoshida N. The log-Sobolev inequality for weakly coupled lattice fields. Probab. Theory Related Fields. 115:1999;1-40.
    • (1999) Probab. Theory Related Fields , vol.115 , pp. 1-40
    • Yoshida, N.1
  • 28
    • 0039269440 scopus 로고    scopus 로고
    • Application of log-Sobolev inequality to the stochastic dynamics of unbounded spin systems on the lattice
    • Yoshida N. Application of log-Sobolev inequality to the stochastic dynamics of unbounded spin systems on the lattice. J. Funct. Anal. 173:2000;74-102.
    • (2000) J. Funct. Anal. , vol.173 , pp. 74-102
    • Yoshida, N.1
  • 29
    • 0030543883 scopus 로고    scopus 로고
    • The strong decay to equilibrium for the stochastic dynamics of unbounded spin systems on a lattice
    • Zegarlinski B. The strong decay to equilibrium for the stochastic dynamics of unbounded spin systems on a lattice. Comm. Math. Phys. 175:1996;401-432.
    • (1996) Comm. Math. Phys. , vol.175 , pp. 401-432
    • Zegarlinski, B.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.