메뉴 건너뛰기




Volumn 18, Issue 5, 1998, Pages 1257-1282

Dimension and invertibility of hyperbolic endomorphisms with singularities

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0032350648     PISSN: 01433857     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0143385798117996     Document Type: Article
Times cited : (33)

References (19)
  • 1
    • 0039213457 scopus 로고
    • Statistical properties of 2.D generalized hyperbolic attractors
    • V. S. Afraimovich, N. I. Chernov and E. A. Sataev. Statistical properties of 2.d generalized hyperbolic attractors. Chaos 5 (1995), 238-252.
    • (1995) Chaos , vol.5 , pp. 238-252
    • Afraimovich, V.S.1    Chernov, N.I.2    Sataev, E.A.3
  • 3
    • 85033893141 scopus 로고    scopus 로고
    • Dimension of hyperbolic measures - A proof of the eckmann-ruelle conjecture
    • WIAS Preprint 245/1996
    • L. Barreira, Ya. Pesin and J. Schmeling. Dimension of hyperbolic measures - a proof of the Eckmann-Ruelle conjecture. WIAS Preprint 245/1996, announcement in ERA-AMS 2(1), 1996.
    • ERA-AMS , vol.2 , Issue.1 , pp. 1996
    • Barreira, L.1    Pesin, Ya.2    Schmeling, J.3
  • 4
    • 0013467757 scopus 로고
    • Models of discrete systems of phase synchronization
    • Eds. V. V. Shakhildyan and L. N. Belynshina. Radio i Svyaz, Moscow
    • V. P. Belykh. Models of discrete systems of phase synchronization. Systems of Phase Synchronization. Eds. V. V. Shakhildyan and L. N. Belynshina. Radio i Svyaz, Moscow, 1982, pp. 61-176.
    • (1982) Systems of Phase Synchronization , pp. 61-176
    • Belykh, V.P.1
  • 6
    • 0000944733 scopus 로고
    • A proof of the estimation from below in Pesin's entropy formula
    • F. Ledrappier and J.-M. Strelcyn. A proof of the estimation from below in Pesin's entropy formula. Ergod. Th. & Dynam. Sys. 2 (1982), 203-219.
    • (1982) Ergod. Th. & Dynam. Sys. , vol.2 , pp. 203-219
    • Ledrappier, F.1    Strelcyn, J.-M.2
  • 7
    • 0001048955 scopus 로고
    • The metric entropy of diffeomorphisms, Part I and II
    • F. Ledrappier and L.-S. Young. The metric entropy of diffeomorphisms, Part I and II. Ann. Math. 122 (1985), 509-574.
    • (1985) Ann. Math. , vol.122 , pp. 509-574
    • Ledrappier, F.1    Young, L.-S.2
  • 9
    • 84971972535 scopus 로고
    • Dynamical systems with generalized hyperbolic attractors: Hyperbolic, ergodic and topological properties
    • Ya. B. Pesin. Dynamical systems with generalized hyperbolic attractors: hyperbolic, ergodic and topological properties. Ergod. Th. & Dynam. Sys. 12 (1992), 123-151.
    • (1992) Ergod. Th. & Dynam. Sys. , vol.12 , pp. 123-151
    • Pesin, Ya.B.1
  • 11
    • 0001140534 scopus 로고
    • Anosov endomorphisms
    • F. Przytycki. Anosov endomorphisms. Studia Math. 58 (1976), 249-285.
    • (1976) Studia Math. , vol.58 , pp. 249-285
    • Przytycki, F.1
  • 12
    • 0002802366 scopus 로고
    • On the fundamental ideas of measure theory
    • V. A. Rohlin. On the fundamental ideas of measure theory. Amer. Math. Soc. Transl. 1 (1962), 1-52.
    • (1962) Amer. Math. Soc. Transl. , vol.1 , pp. 1-52
    • Rohlin, V.A.1
  • 13
    • 0001282015 scopus 로고
    • Invariant measures for hyperbolic maps with singularities
    • E. A. Sataev. Invariant measures for hyperbolic maps with singularities. Russian Math. Surveys 47 (1992), 191-251.
    • (1992) Russian Math. Surveys , vol.47 , pp. 191-251
    • Sataev, E.A.1
  • 14
    • 0039835544 scopus 로고    scopus 로고
    • A dimension formula for endomorphisms - The Belykh family
    • J. Schmeling. A dimension formula for endomorphisms - the Belykh family. Ergod. Th. & Dynam. Sys. 18 (1998), 1283-1309.
    • (1998) Ergod. Th. & Dynam. Sys. , vol.18 , pp. 1283-1309
    • Schmeling, J.1
  • 15
    • 85033880456 scopus 로고
    • Ergodic and dimension theory of hyperbolic endomorphisms with singularities
    • Freie Universität Berlin
    • J. Schmeling. Ergodic and dimension theory of hyperbolic endomorphisms with singularities. Habilitationschrift, Freie Universität Berlin, 1995.
    • (1995) Habilitationschrift
    • Schmeling, J.1
  • 17
    • 0003310263 scopus 로고
    • Hausdorff dimension for non-invertible maps
    • K. Simon. Hausdorff dimension for non-invertible maps. Ergod. Th. & Dynam. Sys. 13 (1993), 199-212.
    • (1993) Ergod. Th. & Dynam. Sys. , vol.13 , pp. 199-212
    • Simon, K.1
  • 18
    • 0040397974 scopus 로고
    • Classical systems with countable Lebesgue spectrum II
    • Ya. G. Sinai. Classical systems with countable Lebesgue spectrum II. Amer. Math. Soc. Transl. 68 (1968), 34-88.
    • (1968) Amer. Math. Soc. Transl. , vol.68 , pp. 34-88
    • Sinai, Ya.G.1
  • 19
    • 84956256298 scopus 로고
    • Dimension, entropy and lyapunov exponents
    • L.-S. Young. Dimension, entropy and Lyapunov exponents. Ergod. Th. & Dynam. Sys. 2 (1984) 109-129.
    • (1984) Ergod. Th. & Dynam. Sys. , vol.2 , pp. 109-129
    • Young, L.-S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.