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2024-06

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cc by-nc-nd (c) Anna Miriam Benini et al., 2024
Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/215668

Boundary dynamics for holomorphic sequences, non-autonomous dynamical systems and wandering domains

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https://doi.org/10.1016/j.aim.2024.109673

Abstract

There are many classical results, related to the Denjoy-Wolff theorem, concerning the relationship between orbits of interior points and orbits of boundary points under iterates of holomorphic self-maps of the unit disc. Here, we address such questions in the very general setting of sequences $\left(F_n\right)$ of holomorphic maps between simply connected domains. We show that, while some classical results can be generalised, with an interesting dependence on the geometry of the domains, a much richer variety of behaviours is possible. One of our main results is new even in the classical setting.

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Funcions de variables complexes, Funcions meromorfes, Sistemes dinàmics complexos

Subject (English)

Functions of complex variables, Meromorphic functions, Complex dynamical systems

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Articles publicats en revistes (Matemàtiques i Informàtica)

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BENINI, Anna Miriam, et al. Boundary dynamics for holomorphic sequences, non-autonomous dynamical systems and wandering domains. Advances in Mathematics. 2024. Vol. 446, num. 1-51. ISSN 0001-8708. [consulted: 9 of August of 2026]. Available at: https://hdl.handle.net/2445/215668

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