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Volumn 16, Issue 2, 1996, Pages 255-266

On the transfer operator for rational functions on the Riemann sphere

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EID: 0030525470     PISSN: 01433857     EISSN: None     Source Type: Journal    
DOI: 10.1017/s0143385700008804     Document Type: Article
Times cited : (86)

References (12)
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  • 3
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    • Ergodic theory of equilibrium states for rational maps
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    • (1991) Nonlinearity , vol.4 , pp. 103-134
    • Denker, M.1    Urbánski, M.2
  • 4
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    • The dichotomy of hausdorff measures and equilibrium states for parabolic rational maps
    • Ergodic Theory and Related Topics III, Proceedings Güstrow 1990, eds. U. Krengel, K. Richter and V. Warstat. Springer, Berlin
    • M. Denker and M. Urbański. The dichotomy of Hausdorff measures and equilibrium states for parabolic rational maps. Ergodic Theory and Related Topics III, Proceedings Güstrow 1990, eds. U. Krengel, K. Richter and V. Warstat. Lecture Notes in Mathematics 1514. Springer, Berlin, 1992 pp. 90-113.
    • (1992) Lecture Notes in Mathematics , vol.1514 , pp. 90-113
    • Denker, M.1    Urbański, M.2
  • 5
    • 0005337807 scopus 로고
    • The central limit theorem for stationary processes
    • M. I. Gordin The central limit theorem for stationary processes. Dokl. Akad. Nauk SSSR 188 (1969), 739-741. Engl. Transl.: Sov. Math. Dokl. 10, (1969), 1174-1176.
    • (1969) Dokl. Akad. Nauk SSSR , vol.188 , pp. 739-741
    • Gordin, M.I.1
  • 6
    • 0040827329 scopus 로고
    • M. I. Gordin The central limit theorem for stationary processes. Dokl. Akad. Nauk SSSR 188 (1969), 739-741. Engl. Transl.: Sov. Math. Dokl. 10, (1969), 1174-1176.
    • (1969) Engl. Transl.: Sov. Math. Dokl. , vol.10 , pp. 1174-1176
  • 7
    • 0002260218 scopus 로고
    • Equilibrium states for piecewise monotonic maps
    • F. Hofbauer and G. Keller. Equilibrium states for piecewise monotonic maps. Ergod. Th. & Dynam. Sys. 2 (1982), 23-43.
    • (1982) Ergod. Th. & Dynam. Sys. , vol.2 , pp. 23-43
    • Hofbauer, F.1    Keller, G.2
  • 8
    • 0007436260 scopus 로고
    • Un théorème de la limite centrale pour une classe de transformations monotones par morceaux
    • G. Keller. Un théorème de la limite centrale pour une classe de transformations monotones par morceaux C.R. Acad. Sc. Paris 291 (1980), 155-158.
    • (1980) C.R. Acad. Sc. Paris , vol.291 , pp. 155-158
    • Keller, G.1
  • 9
    • 51249174357 scopus 로고
    • On the Perron-Frobenius-Ruelle operator for rational maps on the Riemann sphere and for Hölder continuous functions
    • F. Przytycki. On the Perron-Frobenius-Ruelle operator for rational maps on the Riemann sphere and for Hölder continuous functions. Bol. Soc. Bras. Mat. 20 (1990), 95-125.
    • (1990) Bol. Soc. Bras. Mat. , vol.20 , pp. 95-125
    • Przytycki, F.1
  • 10
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    • Lyapunov characteristic exponents are non-negative
    • F. Przytycki. Lyapunov characteristic exponents are non-negative. Proc. Amer. Math. Soc. 119 (1993), 309-317.
    • (1993) Proc. Amer. Math. Soc. , vol.119 , pp. 309-317
    • Przytycki, F.1
  • 12
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    • Almost sure invariance principles for some maps of the interval
    • K Ziemian. Almost sure invariance principles for some maps of the interval. Ergod. Th. & Dynam. Sys. 5 (1985), 625-640.
    • (1985) Ergod. Th. & Dynam. Sys. , vol.5 , pp. 625-640
    • Ziemian, K.1


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