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Volumn 2, Issue 3, 1996, Pages 397-411

Hyperbolic measures and commuting maps in low dimension

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EID: 0030501322     PISSN: 10780947     EISSN: None     Source Type: Journal    
DOI: 10.3934/dcds.1996.2.397     Document Type: Article
Times cited : (17)

References (16)
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    • Chen, K.T.1
  • 4
    • 78149345672 scopus 로고
    • Some ergodic properties of commuting diffeomorphisms
    • Huyi Hu, Some ergodic properties of commuting diffeomorphisms, Erg. Theory and Dynam. Systems 13 (1993), 73-100.
    • (1993) Erg. Theory and Dynam. Systems , vol.13 , pp. 73-100
    • Hu, H.1
  • 7
    • 51249171985 scopus 로고
    • Local Rigidity of certain groups of toral automorphisms
    • A. Katok and J. Lewis, Local Rigidity of certain groups of toral automorphisms, Israel J. Math 75 (1991), 203-241.
    • (1991) Israel J. Math , vol.75 , pp. 203-241
    • Katok, A.1    Lewis, J.2
  • 8
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    • Global rigidity results for lattice actions on tori and new examples of volume-preserving actions
    • A. Katok and J. Lewis, Global rigidity results for lattice actions on tori and new examples of volume-preserving actions, Israel J. Math. 93 (1996), 253-280.
    • (1996) Israel J. Math. , vol.93 , pp. 253-280
    • Katok, A.1    Lewis, J.2
  • 9
    • 0039102898 scopus 로고
    • Dynamical systems with nonumiformly hyperbolic behavior
    • A. Katok and B. Hasselblatt
    • A. Katok and L. Mendoza, Dynamical systems with nonumiformly hyperbolic behavior, Supplement to "Introduction to the modern theory of dynamical systems" (A. Katok and B. Hasselblatt), 1995, pp. 659-700.
    • (1995) Introduction to the Modern Theory of Dynamical Systems , Issue.SUPPL. , pp. 659-700
    • Katok, A.1    Mendoza, L.2
  • 10
    • 51249167977 scopus 로고
    • First cohomology of Anosov actions of higher rank Abelian groups and applications to rigidity
    • A. Katok and R. Spatzier, First cohomology of Anosov actions of higher rank Abelian groups and applications to rigidity, Publ. Math. IHES 79 (1994), 131-156.
    • (1994) Publ. Math. IHES , vol.79 , pp. 131-156
    • Katok, A.1    Spatzier, R.2
  • 11
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    • Invariant measures for higher rank hyperbolic Abelian actions
    • A. Katok and R. Spatzier, Invariant measures for higher rank hyperbolic Abelian actions, Erg. Theory and Dynam. Systems, 16 (1996).
    • (1996) Erg. Theory and Dynam. Systems , vol.16
    • Katok, A.1    Spatzier, R.2
  • 13
    • 84980087693 scopus 로고
    • The analytic invariants of an area preserving mapping near a hyperbolic fixed point
    • J. Moser, The analytic invariants of an area preserving mapping near a hyperbolic fixed point, Comm. Pure Appl. Math. 11 (1958), 673-692.
    • (1958) Comm. Pure Appl. Math. , vol.11 , pp. 673-692
    • Moser, J.1
  • 14
    • 84961291543 scopus 로고
    • Characteristic Lyapunov exponents and smooth ergodic theory
    • Ya. B. Pesin, Characteristic Lyapunov exponents and smooth ergodic theory, Russian Math. Surveys 32 (1977), 55-114.
    • (1977) Russian Math. Surveys , vol.32 , pp. 55-114
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  • 15
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    • Ergodicity of Anosov actions
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    • (1972) Inventiones Math. , vol.15 , pp. 1-23
    • Pugh, C.1    Shub, M.2
  • 16
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    • Local contractions and a theorem of Poincaré
    • S. Sternberg, Local contractions and a theorem of Poincaré, Amer. Journal Math. 79 (1957), 809-824.
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    • Sternberg, S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.