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Critical points on the boundaries of Siegel disks
Author(s):
James
T.
Rogers Jr.
Journal:
Bull. Amer. Math. Soc.
32
(1995),
317-321.
MSC (1991):
Primary 58F23
MathSciNet review:
1316499
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References |
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Additional information
References:
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- , Disques de Siegel et anneaux de Herman, S\'em. Bourbaki, exp. 677, Ast\'erisque No. 152--153 (1987), 4, 151--172 (1988). MR 936853
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- A. Douady and J. H. Hubbard, \'Etude dynamique des complexes \RM (deuxi\`eme partie\/\RM ), Publ. Math. Orsay \textbf{4} (1985), 1--154. MR 812271
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- M. R. Herman , Are there critical points on the boundary of singular domains\,\RM ?, Comm. Math. Phys. \textbf{99} (1985), 593--612. MR 796014
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- , Recent results and some open questions on Siegel\RM 's linearization theorem of germs of complex analytic diffeomorphisms of ${\C }^n$ over a fixed point, Proc. Eighth Internat. Congr. Math. Phys., World Sci. Publ., Singapore, 1987, pp. 138--184.
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- J. Milnor, Dynamics in one complex variable\,\RM : Introductory lectures, Preprint \#1990/5, Inst. Math. Sci., SUNY-Stony Brook. MR 1721240
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- J. T. Rogers, Jr. , Is the boundary of a Siegel disk a Jordan curve\,\RM ?, Bull. Amer. Math. Soc. (N.S.) \textbf{27} (1992), 284--287. MR 1160003
- [R2]
- , Singularities in the boundaries of local Siegel disks, Ergodic Theory Dynamical Systems \textbf{12} (1992), 803--821. MR 1200345
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- , Diophantine conditions imply critical points on the boundaries of Siegel disks of polynomials, Comm. Math. Phys. (to appear). MR 1637421
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- J.-C. Yoccoz, Lin\'earisation des germes de diff\'eomorphismes holomorphes de $(C,0)$, C. R. Acad. Sci. Paris S\'er. I Math. \textbf{306} (1988), 55--58. MR 929279
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Additional Information:
DOI:
10.1090/S0273-0979-1995-00600-2
PII:
S 0273-0979(1995)00600-2
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