Siegel disks of the tangent family

Kirjoittajat

  • 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

Avainsanat:

Meromorphic functions, tangent family, Siegel disks, quasiconformal surgery

Abstrakti

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.
Numero
Vol 46 Nro 1 (2021)
Osasto
Articles

Julkaistu

2021-06-22

Viittaaminen

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

Copyright (c) 2021 The Finnish Mathematical Society

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