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2019

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Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/164060

Univalent wandering domains in the Eremenko-Lyubich class

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Abstract

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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https://doi.org/10.1007/s11854-027-0079-x

Subject

Funcions de variables complexes, Sistemes dinàmics complexos, Funcions meromorfes

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Functions of complex variables, Complex dynamical systems, Meromorphic functions

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FAGELLA RABIONET, Núria, JARQUE I RIBERA, Xavier and LAZEBNIK, Kirill. Univalent wandering domains in the Eremenko-Lyubich class. Journal d'Analyse Mathematique. 2019. Vol. 139, num. 1, pags. 369-395. ISSN 0021-7670. [consulted: 11 of October of 2026]. Available at: https://hdl.handle.net/2445/164060

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