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Is the boundary of a Siegel disk a Jordan curve?
Author(s):
James
T.
Rogers Jr.
Journal:
Bull. Amer. Math. Soc.
27
(1992),
284-287.
MSC (1991):
Primary 30C35, 54F20
MathSciNet review:
1160003
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References |
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Additional information
References:
- [B]
- P. Blanchard, Complex analytic dynamics on the Riemann sphere, Bull. Amer. Math. Soc \textbf{11} (1984), 85--141. MR 741725
- [D1]
- A. Douady, \emph{Syst\`emes dynamiques holomorphes}, Soc. Math. France, Paris, 1983 pp.~39--63. MR 728980
- [D2]
- A. Douady, \emph{Disques de Siegel et anneaux de Herman}, Soc. Math. France, Paris, 1986-87 pp.~151--172. MR 936853
- [DH1]
- A. Douady and J. H. Hubbard, \emph{\'Etude dynamique des complexes \RM (deuxi\`eme partie\RM )}, Univ. Paris XI, Orsay, 1985 pp.~1--154. MR 812271
- [Ha]
- M. Handel, A pathological area preserving $C^\infty $ diffeomorphism of the plane, Proc. Amer. Math. Soc. \textbf{86} (1982), 163--168. MR 663889
- [H1]
- M. R. Herman, Construction of some curious diffeomorphisms of the Riemann sphere, J. London Math. Soc. (2) \textbf{34} (1986), 375--384. MR 856520
- [H2]
- M. R. Herman, Are there critical points on the boundary of singular domains, Comm. Math. Phys. \textbf{99} (1985), 593--612. MR 796014
- [MR]
- J. C. Mayer and J. T. Rogers, Jr., Indecomposable continua and the Julia sets of polynomials, Proc. Amer. Math. Soc. MR
- [M]
- J. Milnor, Dynamics in one complex variable\RM : introductory lectures, preprint \#1990/5, Institute for Mathematical Sciences, SUNY-Stony Brook. MR 1721240
- [Mo]
- R. Moeckel, Rotations of the closures of some simply connected domains, Complex Variables Theory Appl. \textbf{4} (1985), 223--232. MR 801639
- [PR]
- Ch. Pommerenke and B. Rodin, Intrinsic rotations of simply connected regions. {\rm II}, Complex Variables Theory Appl. \textbf{4} (1985), 223--232. MR 801639
- [R1]
- J. T. Rogers, Jr., Intrinsic rotations of simply connected regions and their boundaries, Complex Variables Theory Appl. MR
- [R2]
- J. T. Rogers, Jr., Indecomposable continua, prime ends and Julia sets, Proc. Conference/Workshop on Continuum Theory and Dynamical Systems (to appear). MR
- [R3]
- J. T. Rogers, Jr., Singularities in the boundaries of local Siegel disks, Ergodic Theory Dynamical Systems (to appear). MR 1200345
- [Ru]
- N. E. Rutt, Prime ends and indecomposability, Bull. Amer. Math. Soc. \textbf{41} (1935), 265--273. MR
- [S]
- C. L. Siegel, Iteration of analytic functions, Ann. of Math. \textbf{43} (1942), 607--612. MR 7044
- [Su]
- D. Sullivan, Quasiconformal homeomorphisms and dynamics {\rm I}, Solution of the Fatou-Julia problem on wandering domains, Ann. of Math. (2) \textbf{122} (1985), 401--418. MR 819553
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Additional Information:
DOI:
10.1090/S0273-0979-1992-00324-5
PII:
S 0273-0979(1992)00324-5
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