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Volumn , Issue , 2006, Pages 415-422

Poincaré recurrence: Old and new

(1)  Barreira, Luis a  

a IST *  (Poland)

Author keywords

[No Author keywords available]

Indexed keywords


EID: 84967604819     PISSN: None     EISSN: None     Source Type: Book    
DOI: 10.1142/9789812704016_0039     Document Type: Chapter
Times cited : (40)

References (14)
  • 1
    • 0142177127 scopus 로고    scopus 로고
    • Hyperbolicity and recurrence in dynamical systems: A survey of recent results
    • L. Barreira, "Hyperbolicity and recurrence in dynamical systems: a survey of recent results", Resenhas IME-USP 5, 171-230 (2002).
    • (2002) Resenhas IME-USP , vol.5 , pp. 171-230
    • Barreira, L.1
  • 2
    • 0033416835 scopus 로고    scopus 로고
    • Dimension and product structure of hyperbolic measures
    • L. Barreira, Ya. Pesin, J. Schmeling, "Dimension and product structure of hyperbolic measures", Ann. of Math. (2) 149, 755-783 (1999).
    • (1999) Ann. of Math. (2) , vol.149 , pp. 755-783
    • Barreira, L.1    Pesin, Y.2    Schmeling, J.3
  • 3
    • 0035534942 scopus 로고    scopus 로고
    • Hausdorff dimension of measures via Poincaré recurrence
    • L. Barreira, B. Saussol, "Hausdorff dimension of measures via Poincaré recurrence", Comm. Math. Phys. 219, 443-463 (2001).
    • (2001) Comm. Math. Phys , vol.219 , pp. 443-463
    • Barreira, L.1    Saussol, B.2
  • 5
    • 84967359552 scopus 로고    scopus 로고
    • Measures of maximal dimension for hyperbolic diffeomorphisms
    • to appear
    • L. Barreira, C. Wolf, "Measures of maximal dimension for hyperbolic diffeomorphisms", Comm. Math. Phys., to appear.
    • Comm. Math. Phys
    • Barreira, L.1    Wolf, C.2
  • 7
    • 0001691126 scopus 로고
    • Quantitative recurrence results
    • M. Boshernitzan, "Quantitative recurrence results", Invent. Math. 113, 617-631 (1993).
    • (1993) Invent. Math , vol.113 , pp. 617-631
    • Boshernitzan, M.1
  • 8
    • 0001048955 scopus 로고
    • The metric entropy of diffeomorphisms. Part II: Relations between entropy, exponents and dimension
    • F. Ledrappier, L.-S. Young, "The metric entropy of diffeomorphisms. Part II: Relations between entropy, exponents and dimension", Ann. of Math. (2) 122, 540-574 (1985).
    • (1985) Ann. of Math. (2) , vol.122 , 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
    • Ya. Pesin, H. Weiss, "On the dimension of deterministic and random Cantor-like sets, symbolic dynamics, and the Eckmann-Ruelle conjecture", Comm. Math. Phys. 182, 105-153 (1996).
    • (1996) Comm. Math. Phys , vol.182 , pp. 105-153
    • Pesin, Y.1    Weiss, H.2
  • 11
    • 77951516344 scopus 로고
    • Sur le problème des trois corps et les équations de la dynamique
    • H. Poincaré, "Sur le problème des trois corps et les équations de la dynamique", Acta Math. 13, 1-270 (1890).
    • (1890) Acta Math , vol.13 , pp. 1-270
    • Poincaré, H.1
  • 12
    • 0036103017 scopus 로고    scopus 로고
    • Recurrence, dimensions and Lyapunov exponents
    • B. Saussol, S. Troubetzkoy, S. Vaienti, "Recurrence, dimensions and Lyapunov exponents", J. Statist. Phys. 106, 623-634 (2002).
    • (2002) J. Statist. Phys , vol.106 , pp. 623-634
    • Saussol, B.1    Troubetzkoy, S.2    Vaienti, S.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.