no. 1
On the quasiconformal surgery of rational functions
Annales scientifiques de l'École Normale Supérieure, Série 4, Tome 20 (1987) no. 1, pp. 1-29. 
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Shishikura, Mitsuhiro. On the quasiconformal surgery of rational functions. Annales scientifiques de l'École Normale Supérieure, Série 4, Tome 20 (1987) no. 1, pp. 1-29. doi : 10.24033/asens.1522. http://www.numdam.org/articles/10.24033/asens.1522/

[1] L. Ahlfors, Lectures on Quasiconformal Mappings, Van Nostrand, 1966. | MR | Zbl

[2] V. I. Arnold, Geometrical Methods in the Theory of Ordinary Differential Equations, Springer, 1983. | MR | Zbl

[3] P. Blanchard, Complex Analytic Dynamics on the Riemann Sphere (Bull. Amer. Math. Soc., Vol. 11, 1984, pp. 85-141). | MR | Zbl

[4] H. Brolin, Invariant Sets Under Iteration of Rational Functions (Ark. Math., Vol. 6, 1965, pp. 103-144). | MR | Zbl

[5] C. Camacho, On the Local Structure of Conformal Mappings and Holomorphic Vector Fields in C2 (Astérisque, Vol. 59-60, 1978, pp. 83-94). | MR | Zbl

[6] H. Cremer, Zum Zentrumproblem (Math. Ann., Vol. 98, 1928, pp. 151-163. | JFM

[7] A. Douady, Systèmes dynamiques holomorphes (Séminaire N. Bourbaki, n° 599, 1982/1983). | Numdam | Zbl

[8] A. Douady and J. H. Hubbard, On the Dynamics of Polynomial-Like Mappings (Ann. scient. Éc. Norm. Sup., 4th Serie, T. 18, 1985, pp. 287-343). | Numdam | MR | Zbl

[9] P. Fatou, Sur les équations fonctionnelles (Bull. Soc. Math. Fr., Vol. 47, 1919, pp. 161-271 ; Vol. 48, 1920, pp. 33-94 et pp. 208-304). | JFM | Numdam

[10] M. R. Herman, Exemples de fractions rationnelles ayant une orbite dense sur la sphère de Riemann (Bull. Soc. Math. Fr., Vol. 112, 1984, pp. 93-142). | Numdam | MR | Zbl

[11] M. R. Herman, Are There Critical Points on the Boundaries of Singular Domains ? (Commun. Math. Phys., Vol. 99, 1985, pp. 593-612). | MR | Zbl

[12] G. Julia, Mémoire sur l'itération des fonctions rationnelles (J. Math. pures et appl., Vol. 8, 1918, pp. 47-245). | JFM

[13] O. Lehto and K. Virtanen, Quasiconformal Mappings in the Plane, Springer-Verlag, 1973. | MR | Zbl

[14] R. Mañ;É, P. Sad and D. Sullivan, On the Dynamics of Rational Maps (Ann. scient. Éc. Norm. Sup., 4th Serie, T. 16, 1983. pp. 193-217). | Numdam | MR | Zbl

[15] C. L. Siegel, Iteration of Analytic Functions (Ann. of Math., Vol. 43, 1942, pp. 607-612). | MR | Zbl

[16] M. Shishikura, Surgery of Complex Analytic Dynamical systems, Dynamical Systems and Nonlinear Oscillations, G. Ikegami Ed., World Scientific Advanced Series in Dynamical Systems, Vol. 1, World Scientific, 1986, pp. 93-105.

[17] D. Sullivan, Quasiconformal Homeomorphisms and Dynamics I, III, preprint I.H.E.S.

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