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Ergodic Theory and Dynamical Systems
Volumn 22, Issue 1, 2002, Pages 33-61
Product structure of Poincaré recurrence
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EID: 0035981910     PISSN: 01433857     EISSN: None     Source Type: Journal    
DOI: 10.1017/s0143385702000020     Document Type: Article
Times cited : (25)
References (10)
  • 1
    • 0033416835 scopus 로고    scopus 로고
    • Dimension and product structure of hyperbolic measures
    • L. Barreira, Ya. Pesin and J. Schmeling. Dimension and product structure of hyperbolic measures. Ann. Math. (2) 149 (1999), 755-783.
    • (1999) Ann. Math. , vol.149 , Issue.2 , pp. 755-783
    • Barreira, L.1    Pesin, Ya.2    Schmeling, J.3
  • 2
    • 0035534942 scopus 로고    scopus 로고
    • Hausdorff dimension of measures via Poincaré recurrence
    • L. Barreira and B. Saussol. Hausdorff dimension of measures via Poincaré recurrence. Comm. Math. Phys. 219 (2001), 443-463.
    • (2001) Comm. Math. Phys. , vol.219 , pp. 443-463
    • Barreira, L.1    Saussol, B.2
  • 3
    • 0001691126 scopus 로고
    • Quantitative recurrence results
    • M. Boshernitzan. Quantitative recurrence results. Invent. Math. 113 (1993), 617-631.
    • (1993) Invent. Math. , vol.113 , pp. 617-631
    • Boshernitzan, M.1
  • 4
    • 84966239021 scopus 로고
    • Markov partitions are not smooth
    • R. Bowen. Markov partitions are not smooth. Proc. Amer. Math. Soc. 71 (1978), 130-132.
    • (1978) Proc. Amer. Math. Soc. , vol.71 , pp. 130-132
    • Bowen, R.1
  • 5
    • 0003195540 scopus 로고
    • Introduction to the modern theory of dynamical systems
    • Cambridge University Press, Cambridge
    • A. Katok and B. Hasselblatt. Introduction to the Modern Theory of Dynamical Systems (Encyclopedia of Mathematics and its Applications, 54). Cambridge University Press, Cambridge, 1995.
    • (1995) Encyclopedia of Mathematics and its Applications , vol.54
    • Katok, A.1    Hasselblatt, B.2
  • 6
    • 0001048955 scopus 로고
    • The metric entropy of diffeomorphisms. Part 11: Relations between entropy, exponents and dimension
    • F. Ledrappier and L.-S. Young. The metric entropy of diffeomorphisms. Part 11: Relations between entropy, exponents and dimension. Ann. Math. (2) 122 (1985), 540-574.
    • (1985) Ann. Math. , vol.122 , Issue.2 , pp. 540-574
    • Ledrappier, F.1    Young, L.-S.2
  • 7
    • 0027266419 scopus 로고
    • Entropy and data compression schemes
    • D. Ornstein and B. Weiss. Entropy and data compression schemes. IEEE Trans. Inform. Th. 39 (1993), 78-83.
    • (1993) IEEE Trans. Inform. Th. , vol.39 , pp. 78-83
    • Ornstein, D.1    Weiss, B.2
  • 10
    • 84956256298 scopus 로고
    • Dimension, entropy and Lyapunov exponents
    • L.-S. Young. Dimension, entropy and Lyapunov exponents. Ergod. Th. & Dynam. Sys. 2 (1982), 109-124.
    • (1982) Ergod. Th. & Dynam. Sys. , vol.2 , pp. 109-124
    • Young, L.-S.1

* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.