Univalent wandering domains in the Eremenko-Lyubich class
We use the Folding Theorem of [Bis15] to construct an entire function $f$ in class $\mathcal{B}$ 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.
| Autores: | , , |
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| Tipo de documento: | artigo |
| Estado: | Versión aceptada para publicación |
| Data de publicação: | 2019 |
| País: | España |
| Recursos: | Universidad de Barcelona |
| Repositório: | Dipòsit Digital de la UB |
| OAI Identifier: | oai:diposit.ub.edu:2445/164060 |
| Acesso em linha: | https://hdl.handle.net/2445/164060 |
| Access Level: | Acceso aberto |
| Palavra-chave: | Funcions de variables complexes Sistemes dinàmics complexos Funcions meromorfes Functions of complex variables Complex dynamical systems Meromorphic functions |
| Resumo: | We use the Folding Theorem of [Bis15] to construct an entire function $f$ in class $\mathcal{B}$ 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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