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Constructing entire functions by quasiconformal folding

Christopher J. Bishop Mathematics Department, Stony Brook University

Dynamical Systems mathscidoc:1701.11006

Acta Mathematica, 214, (1), 1-60, 2013.5
We give a method for constructing transcendental entire functions with good control of both the singular values of$f$and the geometry of$f$. Among other applications, we construct a function$f$with bounded singular set, whose Fatou set contains a wandering domain.
quasiconformal maps; entire functions; Speiser class; Eremenko–Lyubich class; bounded type; finite type; transcendental dynamics; tracts; wandering domains; area conjecture
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@inproceedings{christopher2013constructing,
  title={Constructing entire functions by quasiconformal folding},
  author={Christopher J. Bishop},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20170108203404030173798},
  booktitle={Acta Mathematica},
  volume={214},
  number={1},
  pages={1-60},
  year={2013},
}
Christopher J. Bishop. Constructing entire functions by quasiconformal folding. 2013. Vol. 214. In Acta Mathematica. pp.1-60. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20170108203404030173798.
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