메뉴 건너뛰기




Volumn 9, Issue , 2004, Pages 145-176

Chains with complete connections and one-dimensional gibbs measures

Author keywords

Chains with complete connections; Discrete time stochastic processes; Gibbs measures; Markov chains

Indexed keywords


EID: 10644264172     PISSN: None     EISSN: 10836489     Source Type: Journal    
DOI: 10.1214/EJP.v9-149     Document Type: Article
Times cited : (29)

References (23)
  • 1
    • 0002422401 scopus 로고
    • Chains with infinte connections: Uniqueness and Markov representation
    • H. Berbee. Chains with infinte connections: Uniqueness and Markov representation. Prob. Th. Rel. Fields, 76:243-53, 1987.
    • (1987) Prob. Th. Rel. Fields , vol.76 , pp. 243-253
    • Berbee, H.1
  • 2
    • 0042160387 scopus 로고    scopus 로고
    • Decay of correlations for non Holderian dynamics. A coupling approach
    • X. Bressaud, R. Fernandez, and A. Galves. Decay of correlations for non Holderian dynamics. A coupling approach. Elect. J. Prob., 4, 1999b. (http://www.math.washington.edu/∼ejpecp/).
    • (1999) Elect. J. Prob , vol.4
    • Bressaud, X.1    Fernandez, R.2    Galves, A.3
  • 4
    • 22044441901 scopus 로고    scopus 로고
    • Criteria for d-continuity
    • Z. Coelho and A. N. Quas. Criteria for d-continuity. Trans. Amer. Math. Soc, 350(8):3257-3268, 1998.
    • (1998) Trans. Amer. Math. Soc , vol.350 , Issue.8 , pp. 3257-3268
    • Coelho, Z.1    Quas, A.N.2
  • 5
    • 5444273392 scopus 로고    scopus 로고
    • Description of random fields by means of one-point conditional distributions and some applications
    • S. Dachian and B. S. Nahapetian. Description of random fields by means of one-point conditional distributions and some applications. Markov Process. Related Fields, 7(2):193-214, 2001.
    • (2001) Markov Process. Related Fields , vol.7 , Issue.2 , pp. 193-214
    • Dachian, S.1    Nahapetian, B.S.2
  • 6
    • 0001235413 scopus 로고
    • The description of a random field by means of conditional probabilities and conditions of its regularity
    • R. L. Dobrushin. The description of a random field by means of conditional probabilities and conditions of its regularity. Theory of probability and its applications, 13:197-224, 1968.
    • (1968) Theory of Probability and Its Applications , vol.13 , pp. 197-224
    • Dobrushin, R.L.1
  • 8
    • 0039644940 scopus 로고    scopus 로고
    • Global specifications and nonquasilocality of projections of Gibbs measures
    • R. Fernandez and C.-E. Pfister. Global specifications and nonquasilocality of projections of Gibbs measures. The Annals of Probability, 25(3):1284-1315, 1997.
    • (1997) The Annals of Probability , vol.25 , Issue.3 , pp. 1284-1315
    • Fernandez, R.1    Pfister, C.-E.2
  • 10
    • 0003723490 scopus 로고
    • de Gruyter Studies in Mathematics, Berlin-New York
    • H.-O. Georgii. Gibbs Measures and Phase Transitions. Walter de Gruyter (de Gruyter Studies in Mathematics, Vol. 9), Berlin-New York, 1988.
    • (1988) Gibbs Measures and Phase Transitions , vol.9
    • Georgii, H.-O.1
  • 12
    • 84972535307 scopus 로고
    • On chains of infinite order
    • T. E. Harris. On chains of infinite order. Pacific J. Math., 5:70724, 1955.
    • (1955) Pacific J. Math. , vol.5 , pp. 70724
    • Harris, T.E.1
  • 14
    • 51249179496 scopus 로고
    • Random Markov processes and uniform martingales
    • S. Kalikow. Random Markov processes and uniform martingales. Isr. J. Math, 71(1):33-54, 1990.
    • (1990) Isr. J. Math , vol.71 , Issue.1 , pp. 33-54
    • Kalikow, S.1
  • 15
    • 0442269813 scopus 로고
    • Strongly mixing g-measures
    • M. Keane. Strongly mixing g-measures. Inventiones Math., 16:309-24, 1972.
    • (1972) Inventiones Math. , vol.16 , pp. 309-324
    • Keane, M.1
  • 17
    • 0009128106 scopus 로고
    • Regenerative representation for one-dimensional Gibbs states
    • S. P. Lalley. Regenerative representation for one-dimensional Gibbs states. Ann. Prob., 14:1262-71, 1986.
    • (1986) Ann. Prob. , vol.14 , pp. 1262-1271
    • Lalley, S.P.1
  • 18
    • 0001864495 scopus 로고
    • Entropy and equilibrium states in classical statistical mechanics
    • A. Lenard (ed.), Battelle Seattle Rencontres 1971, LPNh 20
    • O. E. Lanford. Entropy and equilibrium states in classical statistical mechanics. In: A. Lenard (ed.), Statiscal mechanics and mathematical problems, Battelle Seattle Rencontres 1971, LPNh 20, pp. 1-113., 1973.
    • (1973) Statiscal Mechanics and Mathematical Problems , pp. 1-113
    • Lanford, O.E.1
  • 19
    • 0001483334 scopus 로고
    • Principe variationnel et systemes dynamiques symboliques
    • F. Ledrappier. Principe variationnel et systemes dynamiques symboliques. Z. Wahrscheinlichkeitstheorie verw. Gebiete, 30:185-202, 1974.
    • (1974) Z. Wahrscheinlichkeitstheorie Verw. Gebiete , vol.30 , pp. 185-202
    • Ledrappier, F.1
  • 22
    • 0242276986 scopus 로고    scopus 로고
    • Uniqueness in g-measures
    • O Stenflo. Uniqueness in g-measures. Nonlinearity, 16(2):403-410, 2003.
    • (2003) Nonlinearity , vol.16 , Issue.2 , pp. 403-410
    • Stenflo, O.1
  • 23
    • 84968518323 scopus 로고
    • Ruelle’s operator theorem and g-measures
    • P. Walters. Ruelle’s operator theorem and g-measures. Trans. Amer. Math. Soc, 214:375-87, 1975.
    • (1975) Trans. Amer. Math. Soc , vol.214 , pp. 375-387
    • Walters, P.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.