An entire function with simply and multiply connected wandering domains
Complex Variables
2018-01-08 v1 Dynamical Systems
Abstract
We modify a construction of Kisaka and Shishikura to show that there exists an entire function which has both a simply connected and a multiply connected wandering domain. Moreover, these domains are contained in the set of fast escaping points.
Cite
@article{arxiv.0708.0941,
title = {An entire function with simply and multiply connected wandering domains},
author = {Walter Bergweiler},
journal= {arXiv preprint arXiv:0708.0941},
year = {2018}
}
Comments
10 pages