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Volumn 140, Issue 2, 2000, Pages 351-398

SRB measures for partially hyperbolic systems whose central direction is mostly expanding

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EID: 0034349012     PISSN: 00209910     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002220000057     Document Type: Article
Times cited : (316)

References (45)
  • 2
    • 0003837194 scopus 로고    scopus 로고
    • SRB measures for nonhyperbolic systems with multidimensional expansion
    • PhD thesis, IMPA
    • [Alv97] J. F. Alves. SRB measures for nonhyperbolic systems with multidimensional expansion. PhD thesis, IMPA, 1997. To appear Ann. Sci. École Norm. Sup.
    • (1997) Ann. Sci. École Norm. Sup.
    • Alves, J.F.1
  • 3
    • 0001870459 scopus 로고
    • The dynamics of the hénon map
    • [BC91] M. Benedicks, L. Carleson. The dynamics of the Hénon map. Annals of Math., 133:73-169, 1991
    • (1991) Annals of Math. , vol.133 , pp. 73-169
    • Benedicks, M.1    Carleson, L.2
  • 4
    • 0039332325 scopus 로고    scopus 로고
    • Nonhyperbolic transitive diffeomorphisms
    • [BD96] C. Bonatti, L. J. Díaz. Nonhyperbolic transitive diffeomorphisms. Annals of Math., 143:357-396, 1996
    • (1996) Annals of Math. , vol.143 , pp. 357-396
    • Bonatti, C.1    Díaz, L.J.2
  • 6
    • 85009367586 scopus 로고
    • Equilibrium states and the ergodic theory of Anosov diffeomorphisms
    • Springer Verlag
    • [Bow75] R. Bowen. Equilibrium states and the ergodic theory of Anosov diffeomorphisms, volume 470 of Lect. Notes in Math. Springer Verlag, 1975
    • (1975) Lect. Notes in Math , vol.470
    • Bowen, R.1
  • 7
    • 0000254229 scopus 로고
    • Partially hyperbolic dynamical systems
    • [BP74] M. Brin, Ya. Pesin. Partially hyperbolic dynamical systems. Izv. Acad. Nauk. SSSR, 1:177-212, 1974
    • (1974) Izv. Acad. Nauk. SSSR , vol.1 , pp. 177-212
    • Brin, M.1    Pesin, Y.2
  • 8
    • 0031257814 scopus 로고    scopus 로고
    • Lorenz attractors with arbitrary expanding dimension
    • Série I
    • [BPV97] C. Bonatti, A. Pumariño, M. Viana. Lorenz attractors with arbitrary expanding dimension. C. R. Acad. Sci. Paris, 325, Série I:883-888, 1997
    • (1997) C. R. Acad. Sci. Paris , vol.325 , pp. 883-888
    • Bonatti, C.1    Pumariño, A.2    Viana, M.3
  • 9
    • 0013501719 scopus 로고
    • The ergodic theory of Axiom A flows
    • [BR75] R. Bowen, D. Ruelle. The ergodic theory of Axiom A flows. Invent. math., 29:181-202, 1975
    • (1975) Invent. Math. , vol.29 , pp. 181-202
    • Bowen, R.1    Ruelle, D.2
  • 11
    • 0002380082 scopus 로고    scopus 로고
    • SRB measures for partially hyperbolic systems whose central direction is mostly contracting
    • To appear
    • [BV99] C. Bonatti, M. Viana. SRB measures for partially hyperbolic systems whose central direction is mostly contracting. Israel Journal Math., 1999. To appear
    • (1999) Israel Journal Math.
    • Bonatti, C.1    Viana, M.2
  • 12
    • 84971895467 scopus 로고
    • Absolutely continuous invariant measures and random perturbations for certain one-dimensional maps
    • [BY92] M. Benedicks, L.-S. Young. Absolutely continuous invariant measures and random perturbations for certain one-dimensional maps. Ergod. Th. & Dynam. Sys., 12:13-37, 1992
    • (1992) Ergod. Th. & Dynam. Sys. , vol.12 , pp. 13-37
    • Benedicks, M.1    Young, L.-S.2
  • 13
    • 0002326463 scopus 로고
    • Sinai-Ruelle-Bowen measures for n-dimensional derived from anosov diffeomorphisms
    • [Car93] M. Carvalho. Sinai-Ruelle-Bowen measures for n-dimensional derived from Anosov diffeomorphisms. Ergod. Th. & Dynam. Sys., 13:21-44, 1993
    • (1993) Ergod. Th. & Dynam. Sys. , vol.13 , pp. 21-44
    • Carvalho, M.1
  • 16
    • 0040843410 scopus 로고    scopus 로고
    • Partial hyperbolicity and robust transitivity
    • To appear
    • [DPU99] L. J. Díaz, E. Pujals, R. Ures. Partial hyperbolicity and robust transitivity. Acta Math., 1999. To appear
    • (1999) Acta Math.
    • Díaz, L.J.1    Pujals, E.2    Ures, R.3
  • 17
    • 0001413892 scopus 로고
    • Stably ergodic diffeomorphisms
    • [GPS94] M. Grayson, C. Pugh, M. Shub. Stably ergodic diffeomorphisms. Annals of Math., 140:295-329, 1994
    • (1994) Annals of Math. , vol.140 , pp. 295-329
    • Grayson, M.1    Pugh, C.2    Shub, M.3
  • 18
    • 51649168546 scopus 로고
    • Structural stability of Lorenz attractors
    • [GW79] J. Guckenheimer, R. F. Williams. Structural stability of Lorenz attractors. Publ. Math. IHES, 50:59-72, 1979
    • (1979) Publ. Math. IHES , vol.50 , pp. 59-72
    • Guckenheimer, J.1    Williams, R.F.2
  • 19
  • 20
    • 0002053804 scopus 로고
    • Absolutely continuous invariant measures for one-parameter families of one-dimensional maps
    • [Jak81] M. Jakobson. Absolutely continuous invariant measures for one-parameter families of one-dimensional maps. Comm. Math. Phys., 81:39-88, 1981
    • (1981) Comm. Math. Phys. , vol.81 , pp. 39-88
    • Jakobson, M.1
  • 21
    • 0002244777 scopus 로고
    • Open sets of diffeomorphisms having two attractors, each with an everywhere dense basin
    • [Kan94] I. Kan. Open sets of diffeomorphisms having two attractors, each with an everywhere dense basin. Bull. Amer. Math. Soc., 31:68-74, 1994
    • (1994) Bull. Amer. Math. Soc. , vol.31 , pp. 68-74
    • Kan, I.1
  • 22
    • 84971960550 scopus 로고
    • Exponents, attractors and hopf decompositions
    • [Kel90] G. Keller. Exponents, attractors and Hopf decompositions. Ergod. Th. & Dynam. Sys., 10:717-744, 1990
    • (1990) Ergod. Th. & Dynam. Sys. , vol.10 , pp. 717-744
    • Keller, G.1
  • 23
    • 0010913688 scopus 로고
    • Some properties of absolutely continuous invariant measures on an interval
    • [Led81] F. Ledrappier. Some properties of absolutely continuous invariant measures on an interval. Ergod. Th. & Dynam. Sys., 1:77-93, 1981
    • (1981) Ergod. Th. & Dynam. Sys. , vol.1 , pp. 77-93
    • Ledrappier, F.1
  • 25
    • 49349128830 scopus 로고
    • Contributions to the stability conjecture
    • [Mañ78] R. Mañé. Contributions to the stability conjecture. Topology, 17:383-396, 1978
    • (1978) Topology , vol.17 , pp. 383-396
    • Mañé, R.1
  • 26
    • 0000201494 scopus 로고
    • An ergodic closing lemma
    • [Mañ82] R. Mañé. An ergodic closing lemma. Annals of Math., 116:503-540, 1982
    • (1982) Annals of Math. , vol.116 , pp. 503-540
    • Mañé, R.1
  • 29
    • 33749569489 scopus 로고    scopus 로고
    • A global view of dynamics and a conjecture on the denseness of finitude of attractors
    • [Pal99] J. Palis. A global view of Dynamics and a conjecture on the denseness of finitude of attractors. Astérisque, 261:339-351, 1999
    • (1999) Astérisque , vol.261 , pp. 339-351
    • Palis, J.1
  • 30
    • 84927987560 scopus 로고
    • Families of invariant manifolds corresponding to non-zero characteristic exponents
    • [Pes76] Ya. Pesin. Families of invariant manifolds corresponding to non-zero characteristic exponents. Math. USSR. Izv., 10:1261-1302, 1976
    • (1976) Math. USSR. Izv. , vol.10 , pp. 1261-1302
    • Pesin, Y.1
  • 31
    • 84971972535 scopus 로고
    • Dynamical systems with generalized hyperbolic attractors: Hyperbolic, ergodic and topological properties
    • [Pes92] Ya. Pesin. Dynamical systems with generalized hyperbolic attractors: hyperbolic, ergodic and topological properties. Ergod. Th. & Dynam. Sys., 12:123-151, 1992
    • (1992) Ergod. Th. & Dynam. Sys. , vol.12 , pp. 123-151
    • Pesin, Y.1
  • 32
    • 0002246274 scopus 로고
    • On a conjecture due to Smale
    • [Pli72] V. Pliss. On a conjecture due to Smale. Diff. Uravnenija, 8:262-268, 1972
    • (1972) Diff. Uravnenija , vol.8 , pp. 262-268
    • Pliss, V.1
  • 33
    • 0001186298 scopus 로고
    • Gibbs measures for partially hyperbolic attractors
    • [PS82] Ya. Pesin, Ya. Sinai. Gibbs measures for partially hyperbolic attractors. Ergod. Th. & Dynam. Sys., 2:417-438, 1982
    • (1982) Ergod. Th. & Dynam. Sys. , vol.2 , pp. 417-438
    • Pesin, Y.1
  • 35
    • 0002802366 scopus 로고
    • On the fundamental ideas of measure theory
    • [Rok62] V.A. Rokhlin. On the fundamental ideas of measure theory. A. M. S. Transl., 10:1-52, 1962. Transl. from Mat. Sbornik 25 (1949), 107-150
    • (1962) A. M. S. Transl. , vol.10 , pp. 1-52
    • Rokhlin, V.A.1
  • 36
    • 0002388724 scopus 로고
    • [Rok62] V.A. Rokhlin. On the fundamental ideas of measure theory. A. M. S. Transl., 10:1-52, 1962. Transl. from Mat. Sbornik 25 (1949), 107-150
    • (1949) Transl. from Mat. Sbornik , vol.25 , pp. 107-150
  • 37
    • 0001108114 scopus 로고
    • The dynamics of perturbations of the contracting Lorenz attractor
    • [Rov93] A. Rovella. The dynamics of perturbations of the contracting Lorenz attractor. Bull. Braz. Math. Soc., 24:233-259, 1993
    • (1993) Bull. Braz. Math. Soc. , vol.24 , pp. 233-259
    • Rovella, A.1
  • 38
    • 0000809231 scopus 로고
    • A measure associated with Axiom A attractors
    • [Rue76] D. Ruelle. A measure associated with Axiom A attractors. Amer. J. Math., 98:619-654, 1976
    • (1976) Amer. J. Math. , vol.98 , pp. 619-654
    • Ruelle, D.1
  • 39
    • 0001282015 scopus 로고
    • Invariant measures for hyperbolic maps with singularities
    • [Sat92] E. A. Sataev. Invariant measures for hyperbolic maps with singularities. Russ. Math. Surveys, 471:191-251, 1992
    • (1992) Russ. Math. Surveys , vol.471 , pp. 191-251
    • Sataev, E.A.1
  • 40
    • 0003137973 scopus 로고
    • 4
    • Springer Verlag
    • 4. volume 206 of Lect. Notes in Math., page 39. Springer Verlag, 1971
    • (1971) Lect. Notes in Math. , vol.206 , pp. 39
    • Shub, M.1
  • 41
    • 84956071330 scopus 로고
    • Gibbs measure in ergodic theory
    • [Sin72] Ya. Sinai. Gibbs measure in ergodic theory. Russian Math. Surveys, 27:21-69, 1972
    • (1972) Russian Math. Surveys , vol.27 , pp. 21-69
    • Sinai, Y.1
  • 43
    • 0033563546 scopus 로고    scopus 로고
    • The lorenz attractor exists
    • Série I
    • [Tuc99] W. Tucker. The lorenz attractor exists. C. R. Acad. Sci. Paris, 328, Série I:1197-1202, 1999
    • (1999) C. R. Acad. Sci. Paris , vol.328 , pp. 1197-1202
    • Tucker, W.1
  • 44
    • 0002771881 scopus 로고    scopus 로고
    • Multidimensional nonhyperbolic attractors
    • [Via97] M. Viana. Multidimensional nonhyperbolic attractors. Publ. Math. IHES, 85:69-96, 1997
    • (1997) Publ. Math. IHES , vol.85 , pp. 69-96
    • Viana, M.1
  • 45
    • 84966215243 scopus 로고
    • Large deviations in dynamical systems
    • [You90] L.-S. Young. Large deviations in dynamical systems. Trans. Amer. Math. Soc., 318:525-543, 1990
    • (1990) Trans. Amer. Math. Soc. , vol.318 , pp. 525-543
    • Young, L.-S.1


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