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Volumn 219, Issue 2, 2001, Pages 443-463

Hausdorff dimension of measures via Poincaré recurrence

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EID: 0035534942     PISSN: 00103616     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002200100427     Document Type: Article
Times cited : (130)

References (13)
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    • Dimension and product structure of hyperbolic measures
    • 1. Barreira, L., Pesin, Ya. and Schmeling, J.: Dimension and product structure of hyperbolic measures. Ann. of Math. 149 (2), 755-783 (1999)
    • (1999) Ann. of Math. , vol.149 , Issue.2 , pp. 755-783
    • Barreira, L.1    Pesin, Ya.2    Schmeling, J.3
  • 2
    • 0034348253 scopus 로고    scopus 로고
    • Multifractal analysis of hyperbolic flows
    • 2. Barreira, L. and Saussol, B.: Multifractal analysis of hyperbolic flows. Commun. Math. Phys. 214, 339-371 (2000)
    • (2000) Commun. Math. Phys. , vol.214 , pp. 339-371
    • Barreira, L.1    Saussol, B.2
  • 3
    • 0001691126 scopus 로고
    • Quantitative recurrence results
    • 3. Boshernitzan, M.: Quantitative recurrence results. Invent. Math. 113, 617-631 (1993)
    • (1993) Invent. Math. , vol.113 , pp. 617-631
    • Boshernitzan, M.1
  • 6
    • 0033426519 scopus 로고    scopus 로고
    • Statistics of return times: A general framework and new applications
    • 6. Hirata, M., Saussol, B. and Vaienti, S.: Statistics of return times: A general framework and new applications. Commun. Math. Phys. 206, 33-55 (1999)
    • (1999) Commun. Math. Phys. , vol.206 , pp. 33-55
    • Hirata, M.1    Saussol, B.2    Vaienti, S.3
  • 7
    • 0001048955 scopus 로고
    • The metric entropy of diffeomorphisms. Part II: Relations between entropy, exponents and dimension
    • 7. Ledrappier, F. and Young, L.-S.: The metric entropy of diffeomorphisms. Part II: Relations between entropy, exponents and dimension. Ann. of Math. 122 (2), 540-574 (1985)
    • (1985) Ann. of Math. , vol.122 , Issue.2 , pp. 540-574
    • Ledrappier, F.1    Young, L.-S.2
  • 10
    • 0030353353 scopus 로고    scopus 로고
    • On the dimension of deterministic and random cantor-like sets, symbolic dynamics, and the Eckmann-Ruelle conjecture
    • 10. Pesin, Ya. and Weiss, H.: On the dimension of deterministic and random Cantor-like sets, symbolic dynamics, and the Eckmann-Ruelle conjecture. Commun. Math. Phys. 182, 105-153 (1996)
    • (1996) Commun. Math. Phys. , vol.182 , pp. 105-153
    • Pesin, Ya.1    Weiss, H.2
  • 13
    • 84956256298 scopus 로고
    • Dimension, entropy and lyapunov exponents
    • 13. Young, L.-S.: Dimension, entropy and Lyapunov exponents. Ergodic Theory Dynam. Systems 2, 109-124 (1982)
    • (1982) Ergodic Theory Dynam. Systems , vol.2 , pp. 109-124
    • Young, L.-S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.