Abstract
We are interested in periodic points on the boundaries of rotation domains of rational functions. R. Pérez-Marco showed that there are no periodic points on the boundaries of Siegel disks having Jordan neighborhoods with certain properties [12]. In this paper, we consider periodic points on the boundaries of rotation domains under more weakly conditions.
Citation
Mitsuhiko Imada. "Periodic points on the boundaries of rotation domains of some rational functions." Osaka J. Math. 51 (1) 215 - 225, January 2014.
