메뉴 건너뛰기




Volumn 32, Issue 4, 2012, Pages 1270-1301

Entropy, Lyapunov exponents and escape rates in open systems

Author keywords

[No Author keywords available]

Indexed keywords


EID: 84862727121     PISSN: 01433857     EISSN: 14694417     Source Type: Journal    
DOI: 10.1017/S0143385711000344     Document Type: Article
Times cited : (34)

References (27)
  • 1
    • 0007410253 scopus 로고
    • The entropy of a derived automorphism
    • L. M. Abramov. The entropy of a derived automorphism. Dokl. Akad. Nauk. SSSR 128 (1959), 647-650;
    • (1959) Dokl. Akad. Nauk. SSSR , vol.128 , pp. 647-650
    • Abramov, L.M.1
  • 2
    • 84863981722 scopus 로고
    • Amer. Math. Soc. Transl. 49(2) (1966), 162-166.
    • (1966) Amer. Math. Soc. Transl. , vol.49 , Issue.2 , pp. 162-166
  • 4
    • 0002467622 scopus 로고
    • On local entropy
    • Rio de Janeiro Lecture Notes in Mathematics, 1007). Springer, Berlin, 1983
    • M. Brin and A. Katok. On local entropy. Geometric Dynamics (Rio de Janeiro, 1981) (Lecture Notes in Mathematics, 1007). Springer, Berlin, 1983, pp. 30-38.
    • (1981) Geometric Dynamics , pp. 30-38
    • Brin, M.1    Katok, A.2
  • 5
    • 77955850077 scopus 로고    scopus 로고
    • Existence and convergence properties of physical measures for certain dynamical systems with holes
    • H. Bruin, M. Demers and I. Melbourne. Existence and convergence properties of physical measures for certain dynamical systems with holes. Ergod. Th. & Dynam. Sys. 30 (2010), 687-728.
    • (2010) Ergod. Th. & Dynam. Sys. , vol.30 , pp. 687-728
    • Bruin, H.1    Demers, M.2    Melbourne, I.3
  • 6
    • 0040942587 scopus 로고    scopus 로고
    • Markov extensions for multidimensional dynamical systems
    • J. Buzzi. Markov extensions for multidimensional dynamical systems. Israel J. Math. 112 (1999), 357-380.
    • (1999) Israel J. Math. , vol.112 , pp. 357-380
    • Buzzi, J.1
  • 11
    • 0000905087 scopus 로고
    • The Yorke-Pianigiani measure and the asymptotic law on the limit Cantor set of expanding systems
    • P. Collet, S. Martínez and B. Schmitt. The Yorke-Pianigiani measure and the asymptotic law on the limit Cantor set of expanding systems. Nonlinearity 7 (1994), 1437-1443.
    • (1994) Nonlinearity , vol.7 , pp. 1437-1443
    • Collet, P.1    Martínez, S.2    Schmitt, B.3
  • 12
    • 79451474591 scopus 로고    scopus 로고
    • Functional norms for Young towers
    • M. F. Demers. Functional norms for Young towers. Ergod. Th. & Dynam. Sys. 30(5) (2010), 1371-1398.
    • (2010) Ergod. Th. & Dynam. Sys. , vol.30 , Issue.5 , pp. 1371-1398
    • Demers, M.F.1
  • 13
    • 76349119232 scopus 로고    scopus 로고
    • Escape rates and physically relevant measures for billiards with small holes
    • M. F. Demers, P. Wright and L.-S. Young. Escape rates and physically relevant measures for billiards with small holes. Comm. Math. Phys. 294 (2010), 353-388.
    • (2010) Comm. Math. Phys. , vol.294 , pp. 353-388
    • Demers, M.F.1    Wright, P.2    Young, L.-S.3
  • 14
    • 30644472521 scopus 로고    scopus 로고
    • Escape rates and conditionally invariant measures
    • DOI 10.1088/0951-7715/19/2/008, PII S0951771506088323
    • M. F. Demers and L.-S. Young. Escape rates and conditionally invariant measures. Nonlinearity 19 (2006), 377-397. (Pubitemid 43089094)
    • (2006) Nonlinearity , vol.19 , Issue.2 , pp. 377-397
    • Demers, M.F.1    Young, L.-S.2
  • 16
    • 0001048955 scopus 로고
    • The metric entropy of diffeomorphisms. Part I: Characterization of measures satisfying Pesin's entropy formula
    • F. Ledrappier and L.-S. Young. The metric entropy of diffeomorphisms. Part I: characterization of measures satisfying Pesin's entropy formula. Ann. of Math. (2) 122 (1985), 509-539.
    • (1985) Ann. of Math. , vol.2 , Issue.122 , pp. 509-539
    • Ledrappier, F.1    Young, L.-S.2
  • 17
    • 0002401417 scopus 로고
    • A proof of Pesin's formula
    • R. Mané. A proof of Pesin's formula. Ergod. Th. & Dynam. Sys. 1(1) (1981), 95-102.
    • (1981) Ergod. Th. & Dynam. Sys. , vol.1 , Issue.1 , pp. 95-102
    • Mané, R.1
  • 18
    • 84961291543 scopus 로고
    • Characteristic Lyapunov exponents and smooth ergodic theory
    • Ya. B. Pesin. Characteristic Lyapunov exponents and smooth ergodic theory. Russian Math. Surveys 32(4) (1977), 55-114.
    • (1977) Russian Math. Surveys , vol.32 , Issue.4 , pp. 55-114
    • Ya., B.1    Pesin2
  • 20
    • 0002787955 scopus 로고
    • Exact endomorphisms of Lebesgue space
    • V. Rohklin. Exact endomorphisms of Lebesgue space. Amer. Math. Soc. Transl. 2 39 (1964), 1-36.
    • (1964) Amer. Math. Soc. Transl. , vol.239 , pp. 1-36
    • Rohklin, V.1
  • 21
    • 51249179988 scopus 로고
    • An inequality for the entropy of differentiable maps
    • D. Ruelle. An inequality for the entropy of differentiable maps. Bol. Soc. Bras. Mat. 9(1) (1978), 83-87.
    • (1978) Bol. Soc. Bras. Mat. , vol.9 , Issue.1 , pp. 83-87
    • Ruelle, D.1
  • 22
    • 0033276174 scopus 로고    scopus 로고
    • Thermodynamic formalism of countable Markov shifts
    • O. Sarig. Thermodynamic formalism of countable Markov shifts. Ergod. Th.&Dynam. Sys. 19 (1999), 1565-1593.
    • (1999) Ergod. Th.&Dynam. Sys. , vol.19 , pp. 1565-1593
    • Sarig, O.1
  • 23
    • 0003294438 scopus 로고
    • An introduction to ergodic theory
    • Springer, New York
    • P. Walters. An Introduction to Ergodic Theory (Graduate Texts in Mathematics, 79). Springer, New York, 1982, p. 250.
    • (1982) Graduate Texts in Mathematics , vol.79 , pp. 250
    • Walters, P.1
  • 24
    • 84966215243 scopus 로고
    • Some large deviation results for dynamical systems
    • L.-S. Young. Some large deviation results for dynamical systems. Trans. Amer. Math. Soc. 318(2) (1990), 525-543.
    • (1990) Trans. Amer. Math. Soc. , vol.318 , Issue.2 , pp. 525-543
    • Young, L.-S.1
  • 25
    • 0003005736 scopus 로고
    • Ergodic theory of differentiable dynamical systems
    • Eds. B. Branner and P. Hjorth. Kluwer Academic Publishers, Dordrecht
    • L.-S. Young. Ergodic theory of differentiable dynamical systems. Real and Complex Dynamics (NATO ASI Series, C464). Eds. B. Branner and P. Hjorth. Kluwer Academic Publishers, Dordrecht, 1995, pp. 293-336.
    • (1995) Real and Complex Dynamics (NATO ASI Series, C 464) , pp. 293-336
    • Young, L.-S.1
  • 26
    • 0032348050 scopus 로고    scopus 로고
    • Statistical properties of dynamical systems with some hyperbolicity
    • L.-S. Young. Statistical properties of dynamical systems with some hyperbolicity. Ann. of Math. (2) 147(3) (1998), 585-650.
    • (1998) Ann. of Math. 2 , vol.147 , Issue.3 , pp. 585-650
    • Young, L.-S.1
  • 27
    • 0141450378 scopus 로고    scopus 로고
    • What are SRB measures, and which dynamical systems have them?
    • DOI 10.1023/A:1019762724717
    • L.-S. Young. What are SRB measures and which dynamical systems have them? J. Stat. Phys. 108 (2002), 733-754. (Pubitemid 37133766)
    • (2002) Journal of Statistical Physics , vol.108 , Issue.5-6 , pp. 733-754
    • Young, L.-S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.