Oscillating Wandering Domains for Functions with Escaping Singular Values
Dynamical Systems
2021-01-20 v2 Complex Variables
Abstract
We construct a transcendental entire such that (1) has bounded singular set, (2) has a wandering domain, and (3) each singular value of escapes to infinity under iteration by .
Keywords
Cite
@article{arxiv.1904.10086,
title = {Oscillating Wandering Domains for Functions with Escaping Singular Values},
author = {Kirill Lazebnik},
journal= {arXiv preprint arXiv:1904.10086},
year = {2021}
}
Comments
This version incorporates referee comments, and contains significant expository improvements