@phdthesis{BJHTUP11_1997__0471__P0_0,
author = {Carette, Jacques},
title = {Liens entre la g\'eom\'etrie et la dynamique des ensembles de {Julia}},
series = {Th\`eses d'Orsay},
publisher = {Universit\'e de Paris-Sud Centre d'Orsay},
number = {471},
year = {1997},
language = {fr},
url = {http://archive.numdam.org/item/BJHTUP11_1997__0471__P0_0/}
}
Carette, Jacques. Liens entre la géométrie et la dynamique des ensembles de Julia. Thèses d'Orsay, no. 471 (1997), 102 p. http://numdam.org/item/BJHTUP11_1997__0471__P0_0/
[1] and , Géométrie localization, uniform John property and seperated semihyperbolic dynamics, Preprint, 1994. | MR | Zbl
[2] , Itération of rational functions, Springer-Verlag, 1992. | MR | Zbl
[3] and , Hölder continuity of conformal mappings and non-quasiconformal Jordan curves, Comment. Math. Helvetici 57 (1982), 221-225. | MR | Zbl | DOI
[4] and , The iteration of cubic polynomials, Part ii: patterns and parapattems, Acta Math., to be published. | MR | Zbl
[5] and , The itération of cubic polynomials, Part i: the global topology of parameter space, Acta Math. 160 (1988), 143-206. | MR | Zbl
[6] and , Complex dynamics, Springer-Verlag, 1993. | MR | Zbl | DOI
[7] and , On coefficient problems for univalent functions and conformal dimension, Duke Math. J. 66 (1992), no. 2, 169-206. | MR | Zbl | DOI
[8] , , and , Julia and John, Bol. Soc. Bras. Mat. 25 (1994), no. 1, 1-30. | MR | Zbl | DOI
[9] and , Positive Liapunov exponents and absolute continuity for maps of the interval, Erg. Th. Dyn. Sys. 3 (1983), 13-46. | MR | Zbl | DOI
[10] and , Etude dynamique de polynômes complexes, Publications Mathématiques d'Orsay #84-02 #85-04. | MR | Zbl
[11] , Sur les équations fonctionelles, Bull. Soc. Math. France 48 (1920), 208-314. | MR | Numdam | JFM | DOI
[12] and , Lipschitz classes and quasiconformal mappings, Ann. Acad. Scien. Fenn. 10 (1985), 203-219. | MR | Zbl
[13] and , Uniform domains and the quasi-hyperbolic metric, J. Analyse Math. 36 (1979), 50-74. | MR | Zbl | DOI
[14] and , Collet, Eckmann & Hölder, Preprint, 1996. | MR
[15] , On the Poincaré inequality, Complex Variables: Theory and Appl. (1986), 265-270. | MR | Zbl
[16] , Local Connectivity of Julia set and Bifurcation Loci: Three Theorems of J.-C. Yoccoz, Topological Methods in Modem Mathematics, Publish or Perish, 1993, pp. 467-512. | MR | Zbl
[17] , On removable sets for Sobolev spaces in the plane, Conférence in honor of E.M. Stein, Princeton University Press, 1993. | MR | Zbl
[18] and , Local connectivity of Julia sets of real polynomials, SUNY preprint 1995/5, 1995.
[19] , Dynamics of quadratic polynomials. I. combinatorics and geometry of the Yoccoz puzzle, MSRI preprint, 1995. | MR
[20] and , Julia sets are uniformly perfect, Proc. of the A.M.S (1992), 251-257. | MR | Zbl | DOI
[21] , On a Theorem of Fatou, Bol. Soc. Bras. Mat. 24 (1993), no. 1, 1-11. | MR | Zbl | DOI
[22] , Integrability of superharmonic functions on Hölder domains of the plane, Proc. of the A.M.S 117 (1993), no. 4, 1083-1088. | MR | Zbl
[23] , Self-similarity of Siegel disks and Hausdorff dimension of Julia sets, preprint, 1995. | MR | Zbl
[24] , Dynamics in one complex variable: introductory lectures, SUNY Stony Brook, Institue for Mathematical Sciences, preprint #1990/5. | MR | Zbl
[25] and , John disks, Expositiones Mathematicae 9 (1991), 3-43. | MR | Zbl
[26] , Some dynamical properties of S-unimodal maps, Fund. Math. (1993), no. 1, 45-57. | MR | Zbl | DOI
[27] and , Topological invariance of the Collet-Eckmann property for S-unimodal maps, Preprint, 1996. | MR | Zbl
[28] and , Non-uniform hyperbolicity and universal bounds for S-unimodal maps, Preprint, 1996. | MR | Zbl
[29] , Solution complète au problème de Siegel de linéarisation d'une application holomorphe au voisinage d'un point fixe, Séminaire Bourbaki 753 (1992). | Numdam | Zbl | MR
[30] , Boundary behaviour of conformal maps, Springer-Verlag, 1992. | MR | Zbl | DOI
[31] , Iteration of holomorphic Collet-Eckmann maps: conformal and invariant measures, Preprint, 1995. | MR | Zbl
[32] , On measure and Hausdorff dimension of Julia sets for holomorphic Collet-Eckmann maps, Preprint, 1995. | MR | Zbl
[33] , Hölder implies CE, Preprint, 1997.
[34] and , Porosity of Collet-Eckmann Julia sets, Preprint, 1996. | MR | Zbl
[35] , Ergodic rational maps with dense critical point forward orbit, Erg. Th. & Dy. Sy. 4 (1984), 311-322. | MR | Zbl | DOI
[36] , Positive measure sets of ergodic rational maps, Ann. Sci. École Norm. Sup. (4) 19 (1986), 383-407. | MR | Zbl | Numdam | DOI
[37] , On the quasiconformal surgery of rational functions, Ann. Sci. Ec. Norm. Sup. 20 (1987), 1-29. | MR | Zbl | Numdam | DOI
[38] and , A geometric Characterization of Hölder Domains, J. London Math. Soc. (2) 35 (1987), 471-480. | MR | Zbl | DOI
[39] and , Poincaré domains in the plane, Proceedings of the R. Nevanlinna Colloq. (1987), 312-326. | MR | Zbl
[40] and , Hölder Domains and Poincaré Domains, Trans. of the A.M.S. 319 (1990), no. 1, 67-100. | MR | Zbl
[41] and , Exponential integrability of the quasi-hyperbolic metric on Hölder domains, Ann. Acad. Scien. Fenn. 17 (1991), 345-360. | MR | Zbl
[42] , averaging domains and the Poincaré inequality, Ann. Acad. Scien. Fenn. (1989), 103-127. | MR | Zbl
[43] , Singular intégrals and differentiability properties of functions, Princeton University Press, 1970. | MR | Zbl
[44] , Rational iteration: complex analytic dynamical systems, Studies in Mathematics, vol. 16, Walter de Gruyter, 1993. | MR | Zbl
[45] , Uniform domains, Tôhuku Math. J. (1988), 101-118. | MR | Zbl
[46] , Linéarisation de germes de difféomorphismes holomorphes de (C,0), C. R. Acad. Sci. Paris Sér. I Math. 306 (1988), 55-58. | MR | Zbl
[47] , Petits diviseurs en dimension 1, Astérisque, vol. 231, Société Mathématiques de France, 1995. | Zbl | Numdam
