Siegel disks of the tangent family

Authors

  • Weiwei Cui Fudan University, Shanghai Center for Mathematical Sciences and Lund University, Centre for Mathematical Sciences
  • Hongming Nie The Hebrew University of Jerusalem, Einstein Institute of Mathematics

Keywords:

Meromorphic functions, tangent family, Siegel disks, quasiconformal surgery

Abstract

We study Siegel disks in the dynamics of functions from the tangent family. In particular, we prove that a Siegel disk is unbounded if and only if the boundary of its image contains at least one asymptotic value. Moreover, by using quasiconformal surgery we also construct functions in the above family with bounded Siegel disks.
Issue
Vol. 46 No. 1 (2021)
Section
Articles

Published

2021-06-22

How to Cite

Cui, W., & Nie, H. (2021). Siegel disks of the tangent family. Annales Fennici Mathematici, 46(1), 593–600. Retrieved from https://afm.journal.fi/article/view/109694

Copyright (c) 2021 The Finnish Mathematical Society

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