@article{ASENS_1987_4_20_1_1_0, author = {Shishikura, Mitsuhiro}, title = {On the quasiconformal surgery of rational functions}, journal = {Annales scientifiques de l'\'Ecole Normale Sup\'erieure}, pages = {1--29}, publisher = {Elsevier}, volume = {Ser. 4, 20}, number = {1}, year = {1987}, doi = {10.24033/asens.1522}, mrnumber = {88i:58099}, zbl = {0621.58030}, language = {en}, url = {http://archive.numdam.org/articles/10.24033/asens.1522/} }
TY - JOUR AU - Shishikura, Mitsuhiro TI - On the quasiconformal surgery of rational functions JO - Annales scientifiques de l'École Normale Supérieure PY - 1987 SP - 1 EP - 29 VL - 20 IS - 1 PB - Elsevier UR - http://archive.numdam.org/articles/10.24033/asens.1522/ DO - 10.24033/asens.1522 LA - en ID - ASENS_1987_4_20_1_1_0 ER -
%0 Journal Article %A Shishikura, Mitsuhiro %T On the quasiconformal surgery of rational functions %J Annales scientifiques de l'École Normale Supérieure %D 1987 %P 1-29 %V 20 %N 1 %I Elsevier %U http://archive.numdam.org/articles/10.24033/asens.1522/ %R 10.24033/asens.1522 %G en %F ASENS_1987_4_20_1_1_0
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://archive.numdam.org/articles/10.24033/asens.1522/
[1] Lectures on Quasiconformal Mappings, Van Nostrand, 1966. | MR | Zbl
,[2] Geometrical Methods in the Theory of Ordinary Differential Equations, Springer, 1983. | MR | Zbl
,[3] Complex Analytic Dynamics on the Riemann Sphere (Bull. Amer. Math. Soc., Vol. 11, 1984, pp. 85-141). | MR | Zbl
,[4] Invariant Sets Under Iteration of Rational Functions (Ark. Math., Vol. 6, 1965, pp. 103-144). | MR | Zbl
,[5] On the Local Structure of Conformal Mappings and Holomorphic Vector Fields in C2 (Astérisque, Vol. 59-60, 1978, pp. 83-94). | MR | Zbl
,[6] Zum Zentrumproblem (Math. Ann., Vol. 98, 1928, pp. 151-163. | JFM
,[7] Systèmes dynamiques holomorphes (Séminaire N. Bourbaki, n° 599, 1982/1983). | Numdam | Zbl
,[8] On the Dynamics of Polynomial-Like Mappings (Ann. scient. Éc. Norm. Sup., 4th Serie, T. 18, 1985, pp. 287-343). | Numdam | MR | Zbl
and ,[9] 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] 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] Are There Critical Points on the Boundaries of Singular Domains ? (Commun. Math. Phys., Vol. 99, 1985, pp. 593-612). | MR | Zbl
,[12] Mémoire sur l'itération des fonctions rationnelles (J. Math. pures et appl., Vol. 8, 1918, pp. 47-245). | JFM
,[13] Quasiconformal Mappings in the Plane, Springer-Verlag, 1973. | MR | Zbl
and ,[14] On the Dynamics of Rational Maps (Ann. scient. Éc. Norm. Sup., 4th Serie, T. 16, 1983. pp. 193-217). | Numdam | MR | Zbl
, and ,[15] Iteration of Analytic Functions (Ann. of Math., Vol. 43, 1942, pp. 607-612). | MR | Zbl
,[16] Surgery of Complex Analytic Dynamical systems, Dynamical Systems and Nonlinear Oscillations, Ed., World Scientific Advanced Series in Dynamical Systems, Vol. 1, World Scientific, 1986, pp. 93-105.
,[17] Quasiconformal Homeomorphisms and Dynamics I, III, preprint I.H.E.S.
,Cité par Sources :