On the geometry of simply connected wandering domains
Complex Variables
2021-04-23 v3 Dynamical Systems
Abstract
We study the geometry of simply connected wandering domains for entire functions and we prove that every bounded connected regular open set, whose closure has a connected complement, is a wandering domain of some entire function. In particular such domain can be realized as an escaping or an oscillating wandering domain. As a consequence we obtain that every Jordan curve is the boundary of a wandering Fatou component of some entire function.
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@article{arxiv.2012.13284,
title = {On the geometry of simply connected wandering domains},
author = {Luka Boc Thaler},
journal= {arXiv preprint arXiv:2012.13284},
year = {2021}
}
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