메뉴 건너뛰기




Volumn 26, Issue 1, 2006, Pages 189-217

Banach spaces adapted to Anosov systems

Author keywords

[No Author keywords available]

Indexed keywords


EID: 30744463498     PISSN: 01433857     EISSN: 14694417     Source Type: Journal    
DOI: 10.1017/S0143385705000374     Document Type: Article
Times cited : (282)

References (34)
  • 1
    • 0002564801 scopus 로고
    • Geodesic flows on closed Riemannian manifolds of negative curvature
    • D. V. Anosov. Geodesic flows on closed Riemannian manifolds of negative curvature. Proc. Steklov Inst. Math. 90 (1967), 1-209.
    • (1967) Proc. Steklov Inst. Math. , vol.90 , pp. 1-209
    • Anosov, D.V.1
  • 2
    • 0010860380 scopus 로고
    • Certain smooth ergodic systems
    • Russian
    • D. V. Anosov and Ya. G. Sinai. Certain smooth ergodic systems. (Russian) Usp. Mat. Nauk 22(5) (1967), 107-172
    • (1967) Usp. Mat. Nauk , vol.22 , Issue.5 , pp. 107-172
    • Anosov, D.V.1    Sinai, Ya.G.2
  • 4
    • 0041530590 scopus 로고
    • A direct method for constructing an invariant measure on a hyperbolic attractor
    • Russian
    • V. I. Bakhtin. A direct method for constructing an invariant measure on a hyperbolic attractor. (Russian) Izv. Ross. Akad. Nauk Sci: Mat. (56) (1992), 934-957
    • (1992) Izv. Ross. Akad. Nauk Sci: Mat. , Issue.56 , pp. 934-957
    • Bakhtin, V.I.1
  • 9
    • 0041972697 scopus 로고    scopus 로고
    • Ruelle-Perron-Frobenius spectrum for Anosov maps
    • M. Blank, G. Keller and C. Liverani. Ruelle-Perron-Frobenius spectrum for Anosov maps. Nonlinearity 15(6) (2001), 1905-1973.
    • (2001) Nonlinearity , vol.15 , Issue.6 , pp. 1905-1973
    • Blank, M.1    Keller, G.2    Liverani, C.3
  • 11
    • 0842346767 scopus 로고    scopus 로고
    • On differentiability of SRB states for partially hyperbolic systems
    • D. Dolgopyat. On differentiability of SRB states for partially hyperbolic systems. Invent. Math. 155(2) (2004), 389-449.
    • (2004) Invent. Math. , vol.155 , Issue.2 , pp. 389-449
    • Dolgopyat, D.1
  • 12
    • 21844515655 scopus 로고
    • Meromorphic zeta functions for analytic flows
    • D. Fried. Meromorphic zeta functions for analytic flows. Comm. Math. Phys. 174(1) (1995), 161-190.
    • (1995) Comm. Math. Phys. , vol.174 , Issue.1 , pp. 161-190
    • Fried, D.1
  • 14
    • 0001205169 scopus 로고
    • On the rate of convergence to equilibrium in one-dimensional systems
    • G. Keller, On the rate of convergence to equilibrium in one-dimensional systems. Comm. Math. Phys. 96(2) (1984), 181-193.
    • (1984) Comm. Math. Phys. , vol.96 , Issue.2 , pp. 181-193
    • Keller, G.1
  • 15
    • 0001515048 scopus 로고    scopus 로고
    • Stability of the spectrum for transfer operators
    • G. Keller and C. Liverani. Stability of the spectrum for transfer operators. Ann. Scuola Norm. Sup. Pisa (4) 28 (1999), 141-152.
    • (1999) Ann. Scuola Norm. Sup. Pisa , vol.28 , Issue.4 , pp. 141-152
    • Keller, G.1    Liverani, C.2
  • 16
    • 0032623269 scopus 로고    scopus 로고
    • Fredholm determinants for hyperbolic diffeomorphisms of finite smoothness
    • A. Yu. Kitaev. Fredholm determinants for hyperbolic diffeomorphisms of finite smoothness. Nonlinearity 12(1) (1999), 141-179.
    • (1999) Nonlinearity , vol.12 , Issue.1 , pp. 141-179
    • Kitaev, A.Yu.1
  • 17
    • 84966227493 scopus 로고
    • On the existence of invariant measures for piecewise monotonie transformations
    • A. Lasota and J. A. Yorke. On the existence of invariant measures for piecewise monotonie transformations. Trans. Amer. Math. Soc. 186 (1963), 481-488.
    • (1963) Trans. Amer. Math. Soc. , vol.186 , pp. 481-488
    • Lasota, A.1    Yorke, J.A.2
  • 18
    • 0000345142 scopus 로고
    • Decay of correlations
    • C. Liverani. Decay of correlations. Ann. of Math. 142 (1995), 239-301.
    • (1995) Ann. of Math. , vol.142 , pp. 239-301
    • Liverani, C.1
  • 20
    • 0035346907 scopus 로고    scopus 로고
    • Rigorous numerical investigation of the statistical properties of piecewise expanding mapsA feasibility study
    • C. Liverani. Rigorous numerical investigation of the statistical properties of piecewise expanding mapsA feasibility study. Nonlinearity 14 (2001), 463-490.
    • (2001) Nonlinearity , vol.14 , pp. 463-490
    • Liverani, C.1
  • 21
    • 14544287674 scopus 로고    scopus 로고
    • On contact Anosov flows
    • C. Liverani. On contact Anosov flows. Ann. of Math. 159 (2004), 1275-1312.
    • (2004) Ann. of Math. , vol.159 , pp. 1275-1312
    • Liverani, C.1
  • 22
    • 0002061809 scopus 로고
    • Certain measures that are connected with U-flows on compact manifolds
    • G. A. Margulis. Certain measures that are connected with U-flows on compact manifolds. Funct. Anal. Appl. 4 (1970), 55-67.
    • (1970) Funct. Anal. Appl. , vol.4 , pp. 55-67
    • Margulis, G.A.1
  • 23
    • 0001525410 scopus 로고
    • Characterization of Anosov diffeomorphisms
    • J. N. Mather. Characterization of Anosov diffeomorphisms. Indag. Math. 30 (1968), 479-483.
    • (1968) Indag. Math. , vol.30 , pp. 479-483
    • Mather, J.N.1
  • 24
    • 0001186298 scopus 로고
    • Gibbs measures for partially hyperbolic attractors
    • Ya. B. Pesin and Ya. G. Sinai. Gibbs measures for partially hyperbolic attractors. Ergod. Th. & Dynam. Sys. 2(3-4) (1982), 417-438.
    • (1982) Ergod. Th. & Dynam. Sys. , vol.2 , Issue.3-4 , pp. 417-438
    • Pesin, Ya.B.1    Sinai, Ya.G.2
  • 25
    • 0242371157 scopus 로고    scopus 로고
    • Stability of mixing rates for Axiom A attractors
    • M. Pollicott. Stability of mixing rates for Axiom A attractors. Nonlinearity 16 (2003), 567-578.
    • (2003) Nonlinearity , vol.16 , pp. 567-578
    • Pollicott, M.1
  • 26
    • 0000809231 scopus 로고
    • A measure associated with axiom-A attractors
    • D. Ruelle. A measure associated with axiom-A attractors. Amer. J. Math. 98 (1976), 619-654.
    • (1976) Amer. J. Math. , vol.98 , pp. 619-654
    • Ruelle, D.1
  • 27
    • 0141774921 scopus 로고
    • The thermodynamics formalism for expanding maps
    • D. Ruelle. The thermodynamics formalism for expanding maps. Comm. Math. Phys. 125 (1989), 239-262.
    • (1989) Comm. Math. Phys. , vol.125 , pp. 239-262
    • Ruelle, D.1
  • 28
    • 0031548918 scopus 로고    scopus 로고
    • Differentiation of SRB states
    • D. Ruelle. Differentiation of SRB states. Comm. Math. Phys. 187 (1997), 227-241.
    • (1997) Comm. Math. Phys. , vol.187 , pp. 227-241
    • Ruelle, D.1
  • 29
    • 0037347051 scopus 로고    scopus 로고
    • Correction and complements: 'Differentiation of SRB states'
    • Comm. Math. Phys. 187 (1997), no. 1, 227-241
    • D. Ruelle, Correction and complements: 'Differentiation of SRB states' [Comm. Math. Phys. 187 (1997), no. 1, 227-241]. Comm. Math. Phys. 234(1) (2003), 185-190.
    • (2003) Comm. Math. Phys. , vol.234 , Issue.1 , pp. 185-190
    • Ruelle, D.1
  • 30
    • 0001147424 scopus 로고
    • The correlation spectrum for hyperbolic analytic maps
    • H. H. Rugh. The correlation spectrum for hyperbolic analytic maps. Nonlinearity 5(6) (1992), 1237-1263.
    • (1992) Nonlinearity , vol.5 , Issue.6 , pp. 1237-1263
    • Rugh, H.H.1
  • 31
    • 30744472520 scopus 로고
    • Fredholm determinants for real-analytic hyperbolic diffeomorphisms of surfaces
    • International Press, Cambridge, MA
    • H. H. Rugh. Fredholm determinants for real-analytic hyperbolic diffeomorphisms of surfaces. XIth International Congress of Mathematical Physics (Paris, 1994). International Press, Cambridge, MA, 1995, 297-303.
    • (1995) XIth International Congress of Mathematical Physics (Paris, 1994) , pp. 297-303
    • Rugh, H.H.1
  • 32
    • 0039460039 scopus 로고    scopus 로고
    • Generalized Fredholm determinants and Selberg zeta functions for Axiom A dynamical systems
    • H. H. Rugh. Generalized Fredholm determinants and Selberg zeta functions for Axiom A dynamical systems. Ergod. Th. & Dynam. Sys. 16(4) (1996), 805-819.
    • (1996) Ergod. Th. & Dynam. Sys. , vol.16 , Issue.4 , pp. 805-819
    • Rugh, H.H.1
  • 33
    • 84956071330 scopus 로고
    • Gibbs measures in ergodic theory
    • Ya. G. Sinai. Gibbs measures in ergodic theory. Usp. Mat. Nauk 27(4) (1972), 21-64
    • (1972) Usp. Mat. Nauk , vol.27 , Issue.4 , pp. 21-64
    • Sinai, Ya.G.1
  • 34
    • 33749596944 scopus 로고
    • (Engl. Transi. Russian Math. Surveys 27(4) (1972), 21-70).
    • (1972) Russian Math. Surveys , vol.27 , Issue.4 , pp. 21-70


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.