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Journal of the American Mathematical Society
Journal of the American Mathematical Society
ISSN 1088-6834(e) ISSN 0894-0347(p)

     

The classification of critically preperiodic polynomials as dynamical systems

Author(s): Ben Bielefeld; Yuval Fisher; John Hubbard
Journal: J. Amer. Math. Soc. 5 (1992), 721-762.
MSC: Primary 58F23; Secondary 30D05
MathSciNet review: 1149891
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References:

[B]
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.

[JM]
J. Milnor, Dynamics in one complex variable: Introductory lectures, SUNY Stony Brook Institute for Mathematical Sciences Preprints 5 (1990). MR 1721240 (2002i:37057)

[MT]
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: 10.1090/S0894-0347-1992-1149891-3
PII: S0894-0347-1992-1149891-3
Copyright of article: Copyright 1992, American Mathematical Society




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