Hyperbolicité des polynômes fibrés

Olivier Sester

Bulletin de la Société Mathématique de France (1999)

  • Volume: 127, Issue: 3, page 393-428
  • ISSN: 0037-9484

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Sester, Olivier. "Hyperbolicité des polynômes fibrés." Bulletin de la Société Mathématique de France 127.3 (1999): 393-428. <http://eudml.org/doc/87812>.

@article{Sester1999,
author = {Sester, Olivier},
journal = {Bulletin de la Société Mathématique de France},
keywords = {fibered polynomial; holomorphic dynamics; Julia set; Green function; fibered complex polynomials; expanding; Julia sets; quasi-circles; fibred polynomials},
language = {fre},
number = {3},
pages = {393-428},
publisher = {Société mathématique de France},
title = {Hyperbolicité des polynômes fibrés},
url = {http://eudml.org/doc/87812},
volume = {127},
year = {1999},
}

TY - JOUR
AU - Sester, Olivier
TI - Hyperbolicité des polynômes fibrés
JO - Bulletin de la Société Mathématique de France
PY - 1999
PB - Société mathématique de France
VL - 127
IS - 3
SP - 393
EP - 428
LA - fre
KW - fibered polynomial; holomorphic dynamics; Julia set; Green function; fibered complex polynomials; expanding; Julia sets; quasi-circles; fibred polynomials
UR - http://eudml.org/doc/87812
ER -

References

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  1. [BH88] BRANNER (B.), HUBBARD (J.H.). — The iteration of cubic polynomials, I : the global topology of parameter space, Acta Mathematica, t. 160, 1988. Zbl0668.30008MR90d:30073
  2. [CG92] CARLESON (L.), GAMELIN (T.W.). — Complex Dynamics. — Springer-Verlag, 1992. Zbl0782.30022
  3. [Doo84] DOOB (J.L.). — Classical Potential Theory and Its Probabilistic Counterpart. — Springer-Verlag, 1984. Zbl0549.31001MR85k:31001
  4. [Dou94] DOUADY (A.). — Does a Julia set depend continuously on the polynomial ?, Proc. Symp. App. Math., t. 49, 1994, p. 91-135. Zbl0934.30023MR1315535
  5. [DH84] DOUADY (A.), HUBBARD (J.H.). — Étude dynamique des polynômes complexes. — Publications Mathématiques Orsay, 1984. Zbl0552.30018MR87f:58072a
  6. [Dur86] DUREN (L.). — Univalent Functions. — Springer-Verlag, 1986. Zbl0609.30010
  7. [Hei96] HEINEMANN (S.-M.). — Julia sets for holomorphic endomorphisms of ℂn, Ergodic Theory and Dynamical Systems, t. 16, 1996, p. 1275-1296. Zbl0874.32008MR97j:32020
  8. [Jon97] JONSSON (M.). — Dynamical Studies in Several Complex Variables. — Royal Institute of Technology Stockholm, September 1997. 
  9. [LV78] LEHTO (O.), VIRTANEN (K.J.). — Quasiconformal Mappings. — Springer-Verlag, 1978. 
  10. [McM94] MCMULLEN (C.T.). — Complex dynamics and Renormalization. — Princeton University Press, 1994. Zbl0822.30002MR96b:58097
  11. [Ses97] SESTER (O.). — Étude dynamique des polynômes fibrés. — Université Paris-Sud, 1997. 
  12. [Ses98] SESTER (O.). — Configurations combinatoires des polynômes fibrés, C. R. Acad. Sciences Paris, t. 326, 1998, p. 477-482. Zbl0927.30017MR99i:58130

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