Abstract
This article is a survey of the author’s results about the non-linearizability of analytic germs and polynomials at irrationally indifferent fixed points.
Partially supported by JSPS Research Fellowships for Young Scientists.
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References
Brjuno, A. D. Analytical form of differential equations, Trans. Moscow Math. Soc., 25(1971), 199–239.
Cremer, H. Zum Zentrumproblem, Math. Ann., 98 (1928), 151–163.
Milnor, J. Dynamics in one complex variable, Vieweg (1999).
Okuyama, Y. Non-linearizability of cubic-perturbed analytic germs at irrationally indifferent fixed points, preprint.
Okuyama, Y. Rotation numbers of Siegel disks and Teichmüller spaces of rational maps, in preparation.
Okuyama, Y. Non-Linearizability of Polynomials at Irrationally Indifferent Fixed Points, Kodai Math. J., 22(1999), 56–65.
Tortrat, P. Aspects potentialistes de l’itération des polynomials, Séminaire de Théorie du Potentiel, Paris, No. 8, Lecture Note in Math., 1235(1987), 195–209.
Yoccoz, J.-C. Thèorém de Siegel, nombres de Bruno et polynômes quadratiques, Astérisque, 231(1996), 3–88.
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© 2000 Kluwer Academic Publishers
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Okuyama, Y. (2000). On the Non-Linearizability of Analytic Germs and Irrationally Indifferent Fixed Points. In: Begehr, H.G.W., Gilbert, R.P., Kajiwara, J. (eds) Proceedings of the Second ISAAC Congress. International Society for Analysis, Applications and Computation, vol 8. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-0271-1_33
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DOI: https://doi.org/10.1007/978-1-4613-0271-1_33
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