Chirurgie croisée
Bulletin de la Société Mathématique de France (2000)
- Volume: 128, Issue: 4, page 599-654
- ISSN: 0037-9484
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topHaïssinsky, Peter. "Chirurgie croisée." Bulletin de la Société Mathématique de France 128.4 (2000): 599-654. <http://eudml.org/doc/87842>.
@article{Haïssinsky2000,
author = {Haïssinsky, Peter},
journal = {Bulletin de la Société Mathématique de France},
keywords = {conformal dynamics; surgery; quasiconformal application; mu-conformal applications},
language = {fre},
number = {4},
pages = {599-654},
publisher = {Société mathématique de France},
title = {Chirurgie croisée},
url = {http://eudml.org/doc/87842},
volume = {128},
year = {2000},
}
TY - JOUR
AU - Haïssinsky, Peter
TI - Chirurgie croisée
JO - Bulletin de la Société Mathématique de France
PY - 2000
PB - Société mathématique de France
VL - 128
IS - 4
SP - 599
EP - 654
LA - fre
KW - conformal dynamics; surgery; quasiconformal application; mu-conformal applications
UR - http://eudml.org/doc/87842
ER -
References
top- [Ah] AHLFORS (L.). — Lectures on quasiconformal mappings. — Van Nostrand, 1966. Zbl0138.06002MR34 #336
- [Bi] BIELEFELD (B.), éd. — Conformal dynamics problem list. — Preprint IMS at Stony Brook, 1990.
- [BD] BRANNER (B.), DOUADY (A.). — Surgery on complex polynomials. — Proc. Symp. of Dyn. Syst., Mexico (1986), Lecture Notes in Math. 1345, 1988, p. 11-72. Zbl0668.58026MR90e:58114
- [BF] BRANNER (B.), FAGELLA (N.). — Homeomorphisms between limbs of the Mandelbrot set, J. Geom. Anal., t. 9, 1999, p. 327-390. Zbl0961.37011MR2001j:37082
- [BH] BRANNER (B.), HUBBARD (J.H.). — The iteration of cubic polynomials II : Patterns and parapatterns, Acta Math., t. 169, 1992, p. 229-325. Zbl0812.30008MR94d:30044
- [Bu] BUFF (X.). — Points fixes de renormalisation. — Thèse de l'Université de Paris-Sud, Orsay, 1997.
- [CG] CARLESON (L.), GAMELIN (T.W.). — Complex dynamics. — Springer-Verlag, 1993. Zbl0782.30022MR94h:30033
- [Da] DAVID (G.). — Solutions de l'équation de Beltrami avec ǁµǁ∞ = 1, Ann. Acad. Sci. Fenn. Ser. A I Math., t. 13, 1988, p. 25-70. Zbl0619.30024MR90d:30058
- [Do1] DOUADY (A.). — Systèmes dynamiques holomorphes, Sém. Bourbaki, vol. 1982/83, Astérisque 105-106, Soc. Math. France, Paris, 1983, p. 39-63. Zbl0532.30019
- [Do2] DOUADY (A.). — Descriptions of compact sets of ℂ, Topological methods in modern mathematics (Stony Brook 1991), 1993, p. 429-465. Zbl0801.58025MR94g:58185
- [DH1] DOUADY (A.), HUBBARD (J.H.). — Étude dynamique des polynômes complexes I & II. — Pub. math. d'Orsay 84-02 et 85-05, 1984/1985. Zbl0552.30018
- [DH2] DOUADY (A.), HUBBARD (J.H.). — On the dynamics of polynomial-like mappings, Ann. Sci. École normale sup., t. 18, 1985, p. 287-343. Zbl0587.30028MR87f:58083
- [EY] EPSTEIN (A.) & YAMPOLSKY (M.). — Geography of the cubic connected locus I : intertwining surgery, Ann. Sci. École normale sup., t. 32, 1999, p. 151-185. Zbl0959.37036MR2000i:37067
- [Fa] FAUGHT (D.). — Local connectivity in a family of cubic polynomials. — Ph.D. Thesis, Cornell, 1992.
- [Ha1] HAÏSSINSKY (P.). — Applications de la chirurgie holomorphe, notamment aux points paraboliques. — Thèse de l'Université de Paris-Sud, Orsay, 1998.
- [Ha2] HAÏSSINSKY (P.). — Chirurgie parabolique, C. R. Acad. Sci. Paris, t. 327, 1998, p. 195-198. Zbl0915.30024MR99i:58127
- [Ha3] HAÏSSINSKY (P.). — Déploiement J-équivalent de polynômes géométriquement finis, Fund. Math., t. 163, 2000, p. 131-141. Zbl0959.37037MR2001c:37044
- [Ha4] HAÏSSINSKY (P.). — Modulation dans l'ensemble de Mandelbrot, in The Mandelbrot set, theme and variations. — Tan Lei, éd., Lecture Note Series 274, Cambridge Univ. Press, 2000, p. 37-65. Zbl1062.37040MR2002c:37067
- [Hu] HUBBARD (J.H.). — Local connectivity of Julia sets and bifurcation loci : three theorems of J.-C. Yoccoz, Topological methods in modern mathematics (Stony Brook, 1991), 1993, p. 467-511. Zbl0797.58049MR94c:58172
- [Mc] MCMULLEN (C.T.). — Automorphisms of rational maps, Proc. MSRI Holomorphic functions and moduli I, Berkeley (1986), 1988, p. 31-60. Zbl0692.30035MR89m:58187
- [McS] MCMULLEN (C.T.), SULLIVAN (D.). — Quasiconformal homeomorphism & dynamics III : the Teichmüller space of a holomorphic dynamical system, Adv. Math., t. 135, 1998, p. 351-395. Zbl0926.30028MR99e:58145
- [MSS] MAÑÉ (R.), SAD (P.), SULLIVAN (D.). — On the dynamics of rational maps, Ann. Sci. École normale sup., 1983, p. 193-217. Zbl0524.58025MR85j:58089
- [Mi] MILNOR (J.). — Dynamics in one complex variable : Introductory lectures. — Friedr. Vieweg & Sohn, Braunschweig, 1999. Zbl0946.30013MR2002i:37057
- [Mo] MOORE (R.L.). — Concerning upper semi-continuous collections of compacta, Trans. Amer. Math. Soc., t. 27, 1925, p. 416-428. Zbl51.0464.03MR1501320JFM51.0464.03
- [Pe] PETERSEN (C.L.). — On the Pommerenke-Levin-Yoccoz inequality, Erg. Th. & Dyn. Sys., t. 13, 1993, p. 785-806. Zbl0802.30022MR94k:58122
- [Po] POMMERENKE (C.). — Univalent functions, Studia Mathematica/Mathematische Lehrbücher, Band XXV, Vandenhoeck & Ruprecht, Göttingen, 1975. Zbl0298.30014MR58 #22526
- [Ri] RICKMAN (S.). — Removability theorems for quasiconformal mappings, Ann. Acad. Fenn. Sc., t. 449, 1969. Zbl0189.09301MR40 #7443
- [Sh] SHISHIKURA (M.). — The parabolic bifurcation of rational maps, ou Bifurcation of parabolic fixed points, in The Mandelbrot set, theme and variations, Tan Lei, éd., Lecture Note Series 274, Cambridge University Press, 2000, p. 325-363. Zbl1062.37043MR2001k:37073
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