References
- L. Ahlfors, Lectures on Quasiconformal Mappings, Manuscript prepared with the assistance of Clifford J. Earle, Jr. Van Nostrand Mathematical Studies, No. 10 D. Van Nostrand Co., Inc., Toronto, Ont.-New York-London 1966.
- A. Beardon, Iteration of Rational Functions, Complex analytic dynamical systems. Graduate Texts in Mathematics, 132. Springer-Verlag, New York, 1991.
- N. Fagella and L. Geyer, Surgery on Herman rings of the complex standard family, Ergodic Theory Dynam. Systems 23 (2003), no. 2, 493–508.
- L. Geyer, Siegel discs, Herman rings and the Arnold family, Trans. Amer. Math. Soc. 353 (2001), no. 9, 3661–3683. https://doi.org/10.1090/S0002-9947-01-02662-9
- K. Katagata, Some cubic Blaschke products and quadratic rational functions with Siegel disks, Int. J. Contemp. Math. Sci. 2 (2007), no. 29-32, 1455–1470.
- A. Katok and B. Hasselblatt, Introduction to the Modern Theory of Dynamical Systems, Encyclopedia of Mathematics and its Applications, 54. Cambridge University Press, Cambridge, 1995.
- J. Milnor, Dynamics in One Complex Variable, Vieweg, 2nd edition, 2000.
- J. Milnor, Geometry and dynamics of quadratic rational maps, With an appendix by the author and Lei Tan. Experiment. Math. 2 (1993), no. 1, 37–83.
- N. Steinmetz, Rational Iteration, Complex analytic dynamical systems. de Gruyter Studies in Mathematics, 16. Walter de Gruyter & Co., Berlin, 1993.
- M. Yampolsky and S. Zakeri, Mating Siegel quadratic polynomials, J. Amer. Math. Soc. 14 (2001), no. 1, 25–78. https://doi.org/10.1090/S0894-0347-00-00348-9
- S. Zakeri, Old and new on quadratic Siegel disks, http://www.math.qc.edu/~zakeri /papers/papers.html.
Cited by
- DYNAMICS OF TRANSCENDENTAL ENTIRE FUNCTIONS WITH SIEGEL DISKS AND ITS APPLICATIONS vol.48, pp.4, 2011, https://doi.org/10.4134/BKMS.2011.48.4.713