@incollection{SB_1986-1987__29__151_0,
author = {Douady, Adrien},
title = {Disques de Siegel et anneaux de Herman},
booktitle = {S\'eminaire Bourbaki : volume 1986/87, expos\'es 669-685},
author = {Collectif},
series = {Ast\'erisque},
note = {talk:677},
publisher = {Soci\'et\'e math\'ematique de France},
number = {152-153},
year = {1987},
zbl = {0638.58023},
mrnumber = {936853},
language = {fr},
url = {www.numdam.org/item/SB_1986-1987__29__151_0/}
}
Douady, Adrien. Disques de Siegel et anneaux de Herman, dans Séminaire Bourbaki : volume 1986/87, exposés 669-685, Astérisque, no. 152-153 (1987), Exposé no. 677, 22 p. http://www.numdam.org/item/SB_1986-1987__29__151_0/
[A-B] and - Riemann's mapping theorem for variable metrics, Ann. of Math. 72 (1960), 385-404. | MR 115006 | Zbl 0104.29902
[A-Beu] and - The boundary correspondence under quasi-conformal mappings, Acta Math. 96 (1956) , 125-142. | MR 86869 | Zbl 0072.29602
[Ar] - Small denominators I ; on the mappings of a circumference onto itself, Amer. Math. Soc. Translations, 2nd series, 46 (1961), 213-284. | Zbl 0152.41905
[Bl] - Complex analytic dynamics on the Riemann sphere, Bull. Amer. Math. Soc. 11 (1984), 85-141. | MR 741725 | Zbl 0558.58017
[Brjul] - Convergence of trans formations of differential equations to normal forms, Dokl. Akad. Nauk. URSS 165 (1965), 987-989. | MR 192098 | Zbl 0146.11301
[Brju2] - Analytic form of differential equations, Transactions Moscow Math. Soc. 25 (1971), 131-288 ; 26 (1972), 199-239. | MR 377192 | Zbl 0283.34013
[Bro] - Invariant sets under iteration of rational functions, Ark Math. 6 (1966), 103-144. | MR 194595 | Zbl 0127.03401
[Ca] - On the local structure of conformal mappings and holomorphic vector fields, Astérisque 59-60 (1978) , 83-84. | MR 542732 | Zbl 0415.30015
[C-J] and - Lettre à Herman, 1984.
[Crl] - Über die Iteration rationaler Funktionen, Jahresber, Deutsch. Math. Verein 33 (1925), 185-210. | JFM 51.0262.05
[Cr2] - Zum Zentrumproblem, Math. Ann. 98 (1928), 151-163. | JFM 53.0303.04 | MR 1512397
[Cr3] - Über Konvergenz und Zentrumproblem, Math. Ann. 110 (1935), 739-744. | JFM 61.0328.04 | MR 1512966
[Cr4] - Über die Häufigkeit der Nichtzentren, ibid. 115 (1938), 573- 580. | JFM 64.0289.02 | MR 1513203
[D1] - Systèmes dynamiques holomorphes, Sém. Bourbaki, exp. 599, Astérisque 105-106 (1983), 39-63. | Numdam | MR 728980 | Zbl 0532.30019
[D2] - Chirurgie sur les applications holomorphes, ICM 86, Berkeley. Version anglaise : preprint MSRI, 1986. | MR 934275 | Zbl 0698.58048
[DH1] et - Itération des polynômes quadratiques complexes, C.R. Acad. Sc. Paris, t. 294 (18 Janvier 1982), Série 1, 123-126. | MR 651802 | Zbl 0483.30014
[DH2] et - Systèmes dynamiques holomorphes I, II : Itération des polynômes complexes (Cours 83-84), Publ. Math. Orsay, 84.02 et 85.04.
[DH3] and - On the dynamics of polynomial like mappings, Ann. Sc. E.N.S., 4ème série, 18 (1985), 287-343. | Numdam | MR 816367 | Zbl 0587.30028
[D-E] and - Conformally natural extension of homeomorphisms of the circle, Acta Math., Vol. 157 (1986) 23-48. | MR 857678 | Zbl 0615.30005
[F] - Sur les équations fonctionnelles, Bull. S.M.F. 47 (1919), 161- 271 (1920), 33-94 ; 48 (1920), 208-304. | JFM 47.0921.02 | Numdam | MR 1504792
[G] - Transformations holomorphes au voisinage d'une courbe de Jordan, C.R. Acad. Sc. Paris, t. 289 (1984), 385-388. | MR 748928 | Zbl 0573.58021
[Gu] - Endomorphisms of the Riemann sphere, Proceedings of the Symposium of Pure Mathematics, v. 14, edited by S. Chern and S. Smale, AMS, Providence, R.I. (1970), 95-123. | MR 274740 | Zbl 0205.54102
[H1] - Sur la conjugaison différentiable des difféomorphismes du cercle à des rotations, Publ. Math. IHES 49 (1979), 5-233. | Numdam | MR 538680 | Zbl 0448.58019
[H2] - Exemples de fractions rationnelles ayant une orbite dense sur la sphere de Riemann, Bull. S.M.F. 112 (1984) , 93-142. | Numdam | MR 771920 | Zbl 0559.58020
[H3] - Construction of some curious diffeomorphisms of the Riemann sphere, to appear in J. London Math. Soc. | MR 856520 | Zbl 0603.58017
[H4] - Simple proofs of local conjugacy theorems for diffeomorphisms of the circle with almost every rotation number, Bol. Soc. Bras. Mat. 16 (1985), 45-83. | MR 819805 | Zbl 0651.58008
[H5] - Are the critical points on the boundaries of singular domains ?, Comm. Math. Phys. 99 (1985), 593-612. | MR 796014 | Zbl 0587.30040
[H6] - Conjugaison quasi-symétrique des difféomorphismes du cercle et applications aux disques singuliers de Siegel, manuscrit (1986).
[H7] - Recent results and some open questions on Siegel linearization theorem of germs of complex-analytic diffeomorphisms of Cn near a fixed point, 8th International Congress on Mathematical Physics, World Scientific Publishers, 1986.
[Il] - Divergence of series reducing an analytic differential equation to linear normal form at a singular point, Funct. Analysis and Appl. 13 (1979), 227-229. | MR 545377 | Zbl 0477.34004
[J] - Oeuvres, vol. I, Gauthier-Villars, Paris.
[L-V] and - Quasiconformal mappings in the plane, Springer-Verlag, 1973. | MR 344463 | Zbl 0267.30016
[Lju] - The investigation of the stability of rational functions, in Theory of Functions, Kharkov (1981), 42, 72-91 (en russe). | Zbl 0572.30023
[M-S-S] , and - On the dynamics of rational maps, Ann. Scient. Ec. Norm. Sup., 4e Série, t. 16 (1982), 193-217. | Numdam | MR 732343 | Zbl 0524.58025
[M-N] and - Universal scaling behavior for iterated maps in the complex plane, Comm. in Mathematical Physics ? | Zbl 0523.30018
[Mar] - Normalisation des champs de vecteurs, d'après A.D. Brjuno, Sém. Bourbaki, exp. 564, Lect. Notes in Math., Springer-Verlag 901 (1981), 55-70. | Numdam | MR 647488 | Zbl 0481.34013
[Mo] - A rapidly convergent iteration method, II, Ann. Scuola Norm. Sup. di Pisa, Ser. III, 20 (1966), 499-535. | Numdam | MR 206461 | Zbl 0144.18202
[N] - Topological invariants of analytic and area-preserving mappings and their applications to analytic differential equations in C2 and CP2, Trans. Moscow Math. Soc. 42 (1983), 239-250. | Zbl 0527.58035
[P] - On invariant manifolds of complex analytic mappings near fixed points, Exp. Math. 4 (1986), 97-109 ; Addendum p. 1 to 4. | MR 879908
[Rel] - Ergodic rational maps with dense critical point forward orbit, University of Minnesota Math. Report, 82-140.
[Re2] - Positive measure sets of ergodic rational maps, Ann. Sc. E.N.S., t. 19, fasc. 3 (1986), 383-407. | Numdam | MR 870689 | Zbl 0611.58038
[R1] - Über die Iteration analytischer Funktionen, J. Math. Mech. 17 ( 1967) , 523-532. | MR 218535 | Zbl 0186.47704
[R2] - Kleine Nenne, II : Bemerkungen zur Newtonschen Methode, Nachr. Akad. Wiss. Göttingen, Math. Phys. Kl. (1970), 1-10. | MR 309297 | Zbl 0255.30003
[R3] - On the convergence of power series transformations of analytic mapping near a fixed point into normal form, preprint, I.H.E.S. (1977).
[Sch] - Diophantine approximation, Lect. Notes in Math., Springer-Verlag 785 (1980). | MR 568710 | Zbl 0421.10019
[Sh1] - On the quasi-conformal surgery of rational functions, Ann. Sc. E.N.S., t. 20, fasc. 1 (1987). | Numdam | MR 892140 | Zbl 0621.58030
[Sh2] - Configurations of Herman rings and dynamical systems on trees, preprint, Kyoto University (1986).
[Sie] - Iteration of analytic functions, Ann. Math. 43 (1942), 807- 812 (voir aussi , Oeuvres, Springer-Verlag (1966)). | MR 7044 | Zbl 0061.14904
[Sul] - Quasi-conformal homeomorphisms, I, Solutions of the Fatou-Julia problem on wandering domains, Annals of Math. 122 (1985), 401-418. | MR 819553 | Zbl 0589.30022
[Su2] - Quasi-conformal homeomorphisms and dynamics, II, III : topological conjugacy classes of analytic endomorphisms, preprint IHES (1983). | MR 730296
[Su-T] and - Extending holomorphic motions, preprint. | MR 857674
[Y1] - Conjugaison différentiable des difféomorphismes du cercle dont le nombre de rotation vérifie une condition diophantienne, Ann. Sc. E.N.S., 4ème série, 17 (1984), 333-359. | Numdam | MR 777374 | Zbl 0595.57027
[Y2] - C1-conjugaison des difféomorphismes du cercle, Lect. Notes in Math., Springer-Verlag, 1007 (1983), 814-827. | MR 730301 | Zbl 0537.57015
[Y3] Il n'y a pas de contre-exemple de Denjoy analytique, Note C.R.A.S., t. 298, Série I, n° 7 (1984), 141-144. | MR 741080 | Zbl 0573.58023
[Y4] - Théorème de Siegel pour les polynômes quadratiques, manuscrit (1985).
[Y5] - Centralisateur et conjugaison différentiable des difféomorphismes du cercle, Thèse Université de Paris-Sud (contient [Y1] et [Y3]).
[Y6] - Une remarque sur la condition de Brjuno, manuscrit (1985).
[Z1] - A simple proof of a generalization of a theorem by C. L. Siegel, Lect. Notes in Math., Springer-Verlag 597 (1977), 855-866. | MR 461575 | Zbl 0361.32007
[Z2] - Generalized implicit function theorems with applications to some small divisor problems, I, Comm. Pure Appl. Math. 28 (1975), 91-140 ; II, ibid. 29 (1976), 49-111. | MR 380867 | Zbl 0309.58006
