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arXiv · 1711.10629

Univalent Wandering Domains in the Eremenko-Lyubich Class

Núria Fagella·Xavier Jarque·Kirill Lazebnik
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Abstract

We use the folding theorem of Bishop to construct an entire function $f$ in class $B$ and a wandering domain $U$ of $f$ such that $f$ restricted to $f^n(U)$ is univalent, for all $n \geq 0$. The components of the wandering orbit are bounded and surrounded by the postcritical set.

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Núria Fagella, Xavier Jarque, Kirill Lazebnik. 2019-04-11. Univalent Wandering Domains in the Eremenko-Lyubich Class. https://arxiv.org/abs/1711.10629

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