@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},
year = {1985},
publisher = {Elsevier},
volume = {Ser. 4, 18},
number = {2},
doi = {10.24033/asens.1491},
mrnumber = {87f:58083},
zbl = {0587.30028},
language = {en},
url = {https://www.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 - https://www.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 https://www.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
[A] , Lectures on Quasi-Conformal Mappings, Van Nostrand, 1966. | Zbl | MR
[A-B] and , The Riemann Mappings Theorem for Variable Metrics (Annals of Math., Vol. 72-2, 1960, pp. 385-404). | Zbl | MR
[B-R] and , Holomorphic Families of Injections, [Acta Math. (to appear)]. | Zbl
[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). | Zbl | MR
[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)]. | Zbl | Numdam
[D-H] and , Itération des polynômes quadratiques complexes (C.R. Acad. Sc., T. 294, série I, 1982, pp. 123-126). | Zbl | MR
[E-E] and (to appear).
[E-F] and , Holomorphic Families of Open Riemann Surfaces (to appear).
[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. | Zbl | MR
[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 | Numdam
[L-V] and , Quasi-Conformal Mappings in the Plane, Springer Verlag, 1973. | Zbl
[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] , and , On the Dynamics of Rational Maps [Ann. scient. Ec. Norm. Sup. (to appear)]. | Zbl | Numdam
[Ri] , Remonability Theorems for Quasiconformal Mappings [Ann. Ac. Scient. Fenn., 449, p. 1-8, (1969)]. | Zbl | MR
[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] and , Holomorphically Moving Sets, preprint I.H.E.S., 1982.
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