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The classification of critically preperiodic polynomials as dynamical systems
Authors:
Ben Bielefeld, Yuval Fisher and John Hubbard
Journal:
J. Amer. Math. Soc. 5 (1992), 721-762
MSC:
Primary 58F23; Secondary 30D05
MathSciNet review:
1149891
Full-text PDF Free Access
References |
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Additional Information
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Blanchard, Complex analytic dynamics on the
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Carleson and Peter
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conformal dimension, Duke Math. J. 66 (1992),
no. 2, 169–206. MR 1162188
(93c:30022), http://dx.doi.org/10.1215/S0012-7094-92-06605-1
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Collet and Jean-Pierre
Eckmann, Iterated maps on the interval as dynamical systems,
Progress in Physics, vol. 1, Birkhäuser, Boston, Mass., 1980. MR 613981
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- P. Blanchard, Complex analytic dynamics on the Riemann sphere, Bull. Amer. Math. Soc. (N.S.) 11 (1984), 85-141. MR 741725 (85h:58001)
- [CJ]
- L. Carleson and P. Jones, On coefficient problems for univalent functions and conformal dimension, Preprint. MR 1162188 (93c:30022)
- [CE]
- P. Collet and J.-P. Eckmann, Iterated maps on the interval as dynamical systems, Birkhäuser-Boston, Boston, MA, 1980. MR 613981 (82j:58078)
- [DH1]
- A. Douady and J. H. Hubbard, Systèmes dynamiques holomorphes. I, II: Itération des polynômes complexes, Publ. Math. Orsay 84.02 (1984), 85.04 (1985).
- [DH2]
- -, A proof of Thurston topological characterization of rational functions, Institute Mittag-Leffler, Preprint (1984).
- [F]
- O. Forster, Riemann surfaces, Springer-Verlag, Berlin-Heidelberg-New York, 1984.
- [F1]
- P. Fatou, Sur les solutions uniformes de certaines équations fonctionnelles, C. R. Acad. Sci. Paris 143 (1906), 546-548.
- [L]
- S. Levy, Critically finite rational maps, Ph.D. Thesis, Princeton Univ., 1985.
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- J. Milnor, Dynamics in one complex variable: Introductory lectures, SUNY Stony Brook Institute for Mathematical Sciences Preprints 5 (1990). MR 1721240 (2002i:37057)
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- J. Milnor and W. Thurston, Iterated maps of the interval, Dynamical Systems (Maryland), J. C. Alexander, editor, Lecture Notes in Math., vol. 1342, Springer-Verlag, Berlin-Heidelberg-New York, 1988. MR 970571 (90a:58083)
- [TL]
- Tan Lei, Accouplements des polynômes complexes, Ph.D. Thesis, Université de Paris Sud, 1987.
- [BW]
- B. Wittner, On the bifurcation loci of rational maps of degree 2, (to appear).
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Additional Information
DOI:
http://dx.doi.org/10.1090/S0894-0347-1992-1149891-3
PII:
S 0894-0347(1992)1149891-3
Article copyright:
© Copyright 1992
American Mathematical Society
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