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Volumn 32, Issue 3, 2012, Pages 891-900

Permutations and the kolmogorov-sinai entropy

Author keywords

Kolmogorov Sinai entropy; Permutation entropy.; Time discrete dynamical system

Indexed keywords


EID: 84859522556     PISSN: 10780947     EISSN: None     Source Type: Journal    
DOI: 10.3934/dcds.2012.32.891     Document Type: Article
Times cited : (20)

References (12)
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    • The permutation entropy rate equals the metric entropy rate for ergodic information sources and ergodic dynamical systems
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    • J. M. Amigó, M. B. Kennel and L. Kocarev, The permutation entropy rate equals the metric entropy rate for ergodic information sources and ergodic dynamical systems, Physica D, 210 (2005), 77-95. (Pubitemid 41277024)
    • (2005) Physica D: Nonlinear Phenomena , vol.210 , Issue.1-2 , pp. 77-95
    • Amigo, J.M.1    Kennel, M.B.2    Kocarev, L.3
  • 2
    • 0041972659 scopus 로고    scopus 로고
    • Entropy of interval maps via permutations
    • DOI 10.1088/0951-7715/15/5/312, PII S0951771502326628
    • C. Bandt, G. Keller and B. Pompe, Entropy of interval maps via permutations, Nonlinearity, 15 (2002), 1595-1602. (Pubitemid 37023485)
    • (2002) Nonlinearity , vol.15 , Issue.5 , pp. 1595-1602
    • Bandt, C.1    Keller, G.2    Pompe, B.3
  • 3
    • 4243997063 scopus 로고    scopus 로고
    • Permutation entropy: A natural complexity measure for time series
    • C. Bandt and B. Pompe, Permutation entropy: A natural complexity measure for time series, Phys. Rev. Lett., 88 (2002), 174102.
    • (2002) Phys. Rev. Lett. , vol.88 , pp. 174102
    • Bandt, C.1    Pompe, B.2
  • 4
    • 84859547371 scopus 로고    scopus 로고
    • Ergodic theory with a view towards number theory
    • Springer-Verlag London, Ltd., London
    • M. Einsiedler and T. Ward, "Ergodic Theory With a View Towards Number Theory," Graduate Texts in Mathematics, 259, Springer-Verlag London, Ltd., London, 2011.
    • (2011) Graduate Texts in Mathematics , vol.259
    • Einsiedler, M.1    Ward, T.2
  • 6
    • 77950865518 scopus 로고    scopus 로고
    • Kolmogorov-sinai entropy from the ordinal viewpoint
    • K. Keller and M. Sinn, Kolmogorov-Sinai entropy from the ordinal viewpoint, Physica D, 239 (2010), 997-1000.
    • (2010) Physica D , vol.239 , pp. 997-1000
    • Keller, K.1    Sinn, M.2
  • 7
    • 70350645016 scopus 로고    scopus 로고
    • A standardized approach to the kolmogorov-sinai entropy
    • K. Keller and M. Sinn, A standardized approach to the Kolmogorov-Sinai entropy, Nonlinearity, 22 (2009), 2417-2422.
    • (2009) Nonlinearity , vol.22 , pp. 2417-2422
    • Keller, K.1    Sinn, M.2
  • 9
    • 0002944225 scopus 로고
    • Entropy of piecewise monotone mappings
    • M. Misiurewicz and W. Szlenk, Entropy of piecewise monotone mappings, Stud. Math., 67 (1980), 45-63.
    • (1980) Stud. Math. , vol.67 , pp. 45-63
    • Misiurewicz, M.1    Szlenk, W.2
  • 11
    • 0000779360 scopus 로고
    • Detecting strange attractors in turbulence
    • (eds. D. A. Rand and L. S. Young), Lecture Notes in Mathematics, 898, Springer, Berlin-New York
    • F. Takens, Detecting strange attractors in turbulence, in "Dynamical Systems and Turbulence" (eds. D. A. Rand and L. S. Young), Lecture Notes in Mathematics, 898, Springer, Berlin-New York, (1981), 366-381.
    • (1981) Dynamical Systems and Turbulence , pp. 366-381
    • Takens, F.1
  • 12
    • 0003294438 scopus 로고
    • An introduction to ergodic theory
    • Springer-Verlag, New York-Berlin
    • P. Walters, "An Introduction to Ergodic Theory," Graduate Texts in Mathematics, 79, Springer-Verlag, New York-Berlin, 1982.
    • (1982) Graduate Texts in Mathematics , vol.79
    • Walters, P.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.