On the uniform perfectness of the boundary of multiply connected wandering domains

Details On the uniform perfectness of the boundary of multiply connected wandering domains On the uniform perfectness of the boundary of multiply connected wandering domains

2010-11-24

arxiv.org/abs/1011.5318v1

J. Australian Math. Soc. 91 (2011), 289-311

Mathematics

Dynamical Systems

19 pages

Scientific paper

We investigate in which cases the boundary of a multiply connected wandering domain of an entire function is uniformly perfect. We give a general criterion implying that it is not uniformly perfect. This criterion applies in particular to examples of multiply connected wandering domains given by Baker. We also provide examples of infinitely connected wandering domains whose boundary is uniformly perfect.

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