On the dynamics of rational maps

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1. [1] R. BOWEN, Hausdorff Dimension of Quasi Circles (Publications Mathematiques I.H.E.S., Vol. 50, 1979, pp. 11-25). Zbl0439.30032MR81g:57023
2. [2] C. CAMACHO, On the Local Structure of Conformal Mappings and Holomorphic Vector Fields in C2 (Astérisque, Vol. 59-60, 1978, pp. 83-94). Zbl0415.30015MR81d:58016
3. [3] M. FATOU, Sur les équations fonctionnelles (Bull. Soc. Math. Fr., Vol. 47, 1919, pp. 161-271, Vol. 48, 1920, pp. 33-94 and pp. 208-314). Zbl47.0921.02JFM47.0921.02
4. [4] S. LATTES, Sur l'itération des substitutions rationnelles et les fonctions de Poincaré (C.R. Acad. Sc., Paris, T. 166, 1918, pp. 26-28). Zbl46.0522.01JFM46.0522.01
5. [5] M. V. JACOBSON, On the Question of the Classification of Rational Maps of Riemann Sphere (Uspehi Mat. Nauk., Vol. 28, 1973, pp. 247-248). 
6. [6] G. JULIA, Sur l'itération des fonctions rationnelles (Journal de Math. Pure et Appliquée, Vol. 8, 1918, pp. 47-245). Zbl46.0520.06JFM46.0520.06
7. [7] D. RUELLE, Analytic Repellors, Ergodic Theory and Dynamical Systems (to appear). 
8. [8] C. L. SIEGEL, Iteration of Analytic Functions (Annals of Mathematics, Vol. 43, 1942, pp. 607-612). Zbl0061.14904MR4,76c
9. [9] D. SULLIVAN, Quasi Conformal Homeomorphisms and Dynamics II (to appear). 
10. [10] D. SULLIVAN, Conformal Dynamical Systems [Proc. of the International Symposium on Dynamical Systems, Rio de Janeiro, 1981 (to appear)]. 
11. [11] D. SULLIVAN, Density at Infinity (Publications Mathématiques I.H.E.S., Vol. 50, 1979, pp. 419-450). Zbl0439.30034
12. [12] D. SULLIVAN, Discrete Conformal Groups and Measurable Dynamics (Bull. of the A.M.S., Vol. 6, 1982). Zbl0489.58027MR83c:58066
13. [13] D. SULLIVAN, Quasi Conformal Homeomorphisms and Dynamics III (to appear). 
14. [14] D. SULLIVAN and W. THURSTON, Extending Holomorphic Motions (to appear). Zbl0619.30026

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