@article{ASENS_1985_4_18_2_287_0, author = {Douady, Adrien and Hubbard, John Hamal}, title = {On the dynamics of polynomial-like mappings}, journal = {Annales scientifiques de l'\'Ecole Normale Sup\'erieure}, volume = {18}, year = {1985}, pages = {287-343}, doi = {10.24033/asens.1491}, mrnumber = {87f:58083}, zbl = {0587.30028}, language = {en}, url = {http://dml.mathdoc.fr/item/ASENS_1985_4_18_2_287_0} }
Douady, Adrien; Hubbard, John Hamal. On the dynamics of polynomial-like mappings. Annales scientifiques de l'École Normale Supérieure, Tome 18 (1985) pp. 287-343. doi : 10.24033/asens.1491. http://gdmltest.u-ga.fr/item/ASENS_1985_4_18_2_287_0/
[A] Lectures on Quasi-Conformal Mappings, Van Nostrand, 1966. | MR 34 #336 | Zbl 0138.06002
,[A-B] The Riemann Mappings Theorem for Variable Metrics (Annals of Math., Vol. 72-2, 1960, pp. 385-404). | MR 22 #5813 | Zbl 0104.29902
and ,[B-R] Holomorphic Families of Injections, [Acta Math. (to appear)]. | Zbl 0619.30027
and ,[Bl] Complex Analytic Dynamics on the Riemann Sphere, Preprint, M.I.A., Minneapolis, 1983. Bulletin AMS, 1984.
,[Br] Invariant Sets Under Iteration of Rational Functions (Arkiv for Math., Vol. 6, 1966, pp. 103-144). | MR 33 #2805 | Zbl 0127.03401
,[C] Local C∞-Conjugacy on the Julia Set for Some Holomorphic Perturbations of z↦z², preprint, M.I.A., Minneapolis [J. Math. pures et app. (to appear)].
,[D] Systèmes dynamiques holomorphes (Séminaire Bourbaki, 599, November 1982) [Asterisque (to appear)]. | Numdam | Zbl 0532.30019
,[D-H] Itération des polynômes quadratiques complexes (C.R. Acad. Sc., T. 294, série I, 1982, pp. 123-126). | MR 83m:58046 | Zbl 0483.30014
and ,[E-E]
and (to appear).[E-F] Holomorphic Families of Open Riemann Surfaces (to appear).
and ,[F] Sur les équations fonctionnelles (Bull. Soc. math. Fr., T. 47, 1919, pp. 161-271 ; T. 47, 1920, pp. 33-94 and 208-314). | JFM 47.0921.02 | Numdam | Numdam
,[G] Topologie Algébrique et Théorie des Faisceaux, Hermann, Paris, 1958. | MR 21 #1583 | Zbl 0080.16201
,[J] Mémoires sur l'itération des fonctions rationnelles (J. Math. pures et app., 1918). See also Œuvres Complètes de G. Julia, Gauthier-Villars, Vol. 1, pp. 121-139. | JFM 46.0520.06
,[L-V] Quasi-Conformal Mappings in the Plane, Springer Verlag, 1973. | Zbl 0267.30016
and ,[M] Fractal Aspects of the Iteration of zˇλz(l - z) (Annals N. Y. Acad. Sc., Vol. 357, 1980, pp. 249-259). | Zbl 0478.58017
,[M-S-S] On the Dynamics of Rational Maps [Ann. scient. Ec. Norm. Sup. (to appear)]. | Numdam | Zbl 0524.58025
, and ,[Ri] Remonability Theorems for Quasiconformal Mappings [Ann. Ac. Scient. Fenn., 449, p. 1-8, (1969)]. | MR 40 #7443 | Zbl 0189.09301
,[R] Real and Complex Analysis, McGraw Hill, 1966, 1974.
,[S1] Conformal Dynamical Systems, preprint, I.H.E.S. ; Geometric Dynamics (Springer Lecture Notes).
,[S2] Quasi-Conformal Homeomorphisms and Dynamics, I, II, III, preprint I.H.E.S.
,[S-T] Holomorphically Moving Sets, preprint I.H.E.S., 1982.
and ,