Zhang, Gaofei An application of the topological rigidity of the sine family. (English) Zbl 1161.37034 Ann. Acad. Sci. Fenn., Math. 33, No. 1, 81-85 (2008). In [Ill. J. Math. 49, No. 4, 1171–1179 (2005; Zbl 1091.37016)], the author proved that for any bounded type of irrational number \(0<\theta<1,\) the boundary of the Siegel disk of \(e^{2\pi i\theta}\sin z\) is a quasi-circl passing through exactly two critical points \(\frac{\pi}2\) and \(-\frac{\pi}2.\) In this paper, the author gives a different proof for the same result. Reviewer: Liangwen Liao (Nanjing) Cited in 1 Document MSC: 37F10 Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets 37F50 Small divisors, rotation domains and linearization in holomorphic dynamics 30D35 Value distribution of meromorphic functions of one complex variable, Nevanlinna theory Keywords:Siegel disk; quasi-circle; topological rigidity Citations:Zbl 1091.37016 PDFBibTeX XMLCite \textit{G. Zhang}, Ann. Acad. Sci. Fenn., Math. 33, No. 1, 81--85 (2008; Zbl 1161.37034) Full Text: EuDML