메뉴 건너뛰기




Volumn 12, Issue 3, 2005, Pages 555-565

Lower bounds for the topological entropy

Author keywords

Geodesic flow; Hausdorff dimension; Topological entropy

Indexed keywords


EID: 15744395923     PISSN: 10780947     EISSN: None     Source Type: Journal    
DOI: 10.3934/dcds.2005.12.555     Document Type: Article
Times cited : (3)

References (15)
  • 2
    • 84942990301 scopus 로고
    • Entropy for group endomorphisms and homogeneous spaces
    • R. Bowen, Entropy for group endomorphisms and homogeneous spaces. Trans. Am. Math. Soc., 153: 401-414, 1971.
    • (1971) Trans. Am. Math. Soc. , vol.153 , pp. 401-414
    • Bowen, R.1
  • 5
    • 0009970427 scopus 로고
    • Expansiveness, hyperbolicity, and Hausdorff dimension
    • A. Fathi, Expansiveness, hyperbolicity, and Hausdorff dimension. Commun. Math. Phys., 126: 249-262, 1989.
    • (1989) Commun. Math. Phys. , vol.126 , pp. 249-262
    • Fathi, A.1
  • 6
    • 0041721018 scopus 로고    scopus 로고
    • Hausdorff dimension estimates for invariant sets with an equivariant tangent bundle splitting
    • A. Franz, Hausdorff dimension estimates for invariant sets with an equivariant tangent bundle splitting. Nonlinearity, 11: 1063-1074, 1998.
    • (1998) Nonlinearity , vol.11 , pp. 1063-1074
    • Franz, A.1
  • 7
    • 0001406958 scopus 로고
    • On the entropy of the geodesic flow in manifolds without conjugate points
    • A. Freire and R. Mañe , On the entropy of the geodesic flow in manifolds without conjugate points. Invent. Math., 69: 375-392, 1982.
    • (1982) Invent. Math. , vol.69 , pp. 375-392
    • Freire, A.1    Mañé, R.2
  • 8
    • 0040642504 scopus 로고
    • An upper bound for the Hausdorff dimension of a hyperbolic set
    • X. Gu, An upper bound for the Hausdorff dimension of a hyperbolic set. Nonlinearity, 4(3): 927-934, 1991.
    • (1991) Nonlinearity , vol.4 , Issue.3 , pp. 927-934
    • Gu, X.1
  • 9
    • 0000387067 scopus 로고    scopus 로고
    • An integral formula for topological entropy of C∞ maps
    • O. Kozlovski, An integral formula for topological entropy of C∞ maps. Ergodic Theory Dynam. Systems, 18(2): 405-424, 1998.
    • (1998) Ergodic Theory Dynam. Systems , vol.18 , Issue.2 , pp. 405-424
    • Kozlovski, O.1
  • 10
    • 34250238889 scopus 로고
    • Some relations between dimension and Lyapunov exponents
    • F. Ledrappier, Some relations between dimension and Lyapunov exponents. Commun. Math. Phys., 81: 229-238, 1981.
    • (1981) Commun. Math. Phys. , vol.81 , pp. 229-238
    • Ledrappier, F.1
  • 11
    • 0000722287 scopus 로고
    • A new curvature invariant and entropy of geodesic flows
    • R. Osserman and P. Sarnak, A new curvature invariant and entropy of geodesic flows. Invent. Math., 77: 455-462, 1984.
    • (1984) Invent. Math. , vol.77 , pp. 455-462
    • Osserman, R.1    Sarnak, P.2
  • 12
    • 84956228236 scopus 로고
    • Geodesic flows with hyperbolic behavior of the trajectories and objects connected with them
    • Ya.B. Pesin, Geodesic flows with hyperbolic behavior of the trajectories and objects connected with them. Russ. Math. Surv., 36: 1-59, 1981.
    • (1981) Russ. Math. Surv. , vol.36 , pp. 1-59
    • Pesin, Ya.B.1
  • 13
    • 84961291543 scopus 로고
    • Lyapunov-characteristic exponents and smooth ergodic theory
    • Ya.B. Pesin, Lyapunov-characteristic exponents and smooth ergodic theory. Russ. Math. Surv., 32: 55-114, 1977.
    • (1977) Russ. Math. Surv. , vol.32 , pp. 55-114
    • Pesin, Ya.B.1
  • 15
    • 51649149112 scopus 로고
    • Volume growth and entropy
    • Y. Yomdin, Volume growth and entropy. Isr. J. Math., 57: 285-300, 1987.
    • (1987) Isr. J. Math. , vol.57 , pp. 285-300
    • Yomdin, Y.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.