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Volumn 98, Issue 1-2, 2000, Pages 305-320

Dimensions and waiting times for Gibbs measures

Author keywords

Billingsley dimension; Gibbs measure; Hausdorff dimension; Recurrence; Relative entropy; Thermodynamic formalism; Waiting time

Indexed keywords


EID: 0033632367     PISSN: 00224715     EISSN: None     Source Type: Journal    
DOI: 10.1023/a:1018683024003     Document Type: Article
Times cited : (10)

References (9)
  • 1
    • 0003314396 scopus 로고
    • Billingsley dimension in probabilily spaces
    • Springer-Verlag, Berlin
    • H. Cajar, Billingsley Dimension in Probabilily Spaces, Lecture Notes in Math., Vol. 892 (Springer-Verlag, Berlin, 1981).
    • (1981) Lecture Notes in Math. , vol.892
    • Cajar, H.1
  • 3
    • 0032395716 scopus 로고    scopus 로고
    • Asymptotic recurrence and waiting times for stationary processes
    • I. Kontoyiannis, Asymptotic recurrence and waiting times for stationary processes, J. Theor. Prob. 11:795-811 (1998).
    • (1998) J. Theor. Prob. , vol.11 , pp. 795-811
    • Kontoyiannis, I.1
  • 4
    • 84976038755 scopus 로고
    • Almost-sure waiting time results for weak and very weak Bernoulli processes
    • K. Marton and P. C. Shields, Almost-sure waiting time results for weak and very weak Bernoulli processes, Ergod. Th. Dynam. Sys. 15:951-960 (1995).
    • (1995) Ergod. Th. Dynam. Sys. , vol.15 , pp. 951-960
    • Marton, K.1    Shields, P.C.2
  • 6
    • 0000271607 scopus 로고
    • Zeta functions and the periodic orbit structure of hyperbolic dynamics
    • SMF
    • W. Parry and M. Pollicott, Zeta functions and the periodic orbit structure of hyperbolic dynamics, Astérisque 187-188, SMF (1990).
    • (1990) Astérisque , pp. 187-188
    • Parry, W.1    Pollicott, M.2
  • 8
    • 0001687905 scopus 로고
    • Waiting times: Positive and negative results on the Wyner-Ziv problem
    • P. C. Shields, Waiting times: positive and negative results on the Wyner-Ziv problem. J. Theor. Prob. 6:499-519 (1993).
    • (1993) J. Theor. Prob. , vol.6 , pp. 499-519
    • Shields, P.C.1
  • 9
    • 0024768981 scopus 로고
    • Some asymptotic properties of the entropy of a stationary ergodic data source with applications to data compression
    • A. Wyner and J. Ziv, Some asymptotic properties of the entropy of a stationary ergodic data source with applications to data compression, IEEE Trans. Inform. Th. IT-35: 1250-1258 (1989).
    • (1989) IEEE Trans. Inform. Th. , vol.IT-35 , pp. 1250-1258
    • Wyner, A.1    Ziv, J.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.