Convergence of the transfer operator for rational maps

Ergodic Theory and Dynamical Systems

Volumn 19, Issue 3, 1999, Pages 657-669

  Haydn, Nicolai ^a  

^a UNIVERSITY OF SOUTHERN CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0040205762     PISSN: 01433857     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0143385799130190     Document Type: Article

References (7)

1. M. Denker and M. Urbanski. Ergodic theory of equilibrium states for rational maps. Nonlinearity 4 (1991), 103-134.
2. M. Denker, F. Przytycki and M. Urbanski. On the transfer operator for rational functions on the Riemann sphere. Ergod. Th. & Dynam. Sys. 16 (1996), 255-266.
3. E. Hille. Analytic Function Theory, vol. 2. Chelsea, New York, 1962.
4. A. Hinkkanen. Julia sets of rational functions are uniformly perfect. Math. Proc. Cambridge Phil. Soc. 113 (1993), 543-559.
5. R. Mañé. On the Bernoulli property for rational maps. Ergod. Th & Dynam. Sys. 5 (1985), 71-38.
6. F. Przytycki. On the Perron-Frobenius-Ruelle operator for rational maps on the Riemann sphere and for Hölder continuous functions. Boll. Bras. Soc. Mat. 20 (1990), 95-125.
7. S. K. Smirnov. Spectral analysis of Julia sets. PhD Thesis, Caltech, 1996.