@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}, pages = {287--343}, publisher = {Elsevier}, volume = {Ser. 4, 18}, number = {2}, year = {1985}, doi = {10.24033/asens.1491}, mrnumber = {87f:58083}, zbl = {0587.30028}, language = {en}, url = {http://archive.numdam.org/articles/10.24033/asens.1491/} }
TY - JOUR AU - Douady, Adrien AU - Hubbard, John Hamal TI - On the dynamics of polynomial-like mappings JO - Annales scientifiques de l'École Normale Supérieure PY - 1985 SP - 287 EP - 343 VL - 18 IS - 2 PB - Elsevier UR - http://archive.numdam.org/articles/10.24033/asens.1491/ DO - 10.24033/asens.1491 LA - en ID - ASENS_1985_4_18_2_287_0 ER -
%0 Journal Article %A Douady, Adrien %A Hubbard, John Hamal %T On the dynamics of polynomial-like mappings %J Annales scientifiques de l'École Normale Supérieure %D 1985 %P 287-343 %V 18 %N 2 %I Elsevier %U http://archive.numdam.org/articles/10.24033/asens.1491/ %R 10.24033/asens.1491 %G en %F 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, Série 4, Tome 18 (1985) no. 2, pp. 287-343. doi : 10.24033/asens.1491. http://archive.numdam.org/articles/10.24033/asens.1491/
[A] Lectures on Quasi-Conformal Mappings, Van Nostrand, 1966. | MR | Zbl
,[A-B] The Riemann Mappings Theorem for Variable Metrics (Annals of Math., Vol. 72-2, 1960, pp. 385-404). | MR | Zbl
and ,[B-R] Holomorphic Families of Injections, [Acta Math. (to appear)]. | Zbl
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 | Zbl
,[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
,[D-H] Itération des polynômes quadratiques complexes (C.R. Acad. Sc., T. 294, série I, 1982, pp. 123-126). | MR | Zbl
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 | Numdam
,[G] Topologie Algébrique et Théorie des Faisceaux, Hermann, Paris, 1958. | MR | Zbl
,[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
,[L-V] Quasi-Conformal Mappings in the Plane, Springer Verlag, 1973. | Zbl
and ,[M] Fractal Aspects of the Iteration of zˇλz(l - z) (Annals N. Y. Acad. Sc., Vol. 357, 1980, pp. 249-259). | Zbl
,[M-S-S] On the Dynamics of Rational Maps [Ann. scient. Ec. Norm. Sup. (to appear)]. | Numdam | Zbl
, and ,[Ri] Remonability Theorems for Quasiconformal Mappings [Ann. Ac. Scient. Fenn., 449, p. 1-8, (1969)]. | MR | Zbl
,[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 ,Cité par Sources :