2026-04-17T06:12:02Zhttps://recercat.cat/oai/requestoai:recercat.cat:2445/2156682025-12-05T09:58:54Zcom_2072_1057col_2072_478917col_2072_478920
RECERCAT
author
Benini, Anna Miriam
author
Evdoridou, Vasiliki
author
Fagella Rabionet, Núria
author
Rippon, Philip J.
author
Stallard, Gwyneth M.
2024-10-11T06:36:21Z2024-10-11T06:36:21Z2024-062024-10-11T06:36:21Z
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.
cc by-nc-nd (c) Anna Miriam Benini et al., 2024 http://creativecommons.org/licenses/by/3.0/es/ info:eu-repo/semantics/openAccess
Funcions de variables complexes
Funcions meromorfes
Sistemes dinàmics complexos
Functions of complex variables
Meromorphic functions
Complex dynamical systems
Boundary dynamics for holomorphic sequences, non-autonomous dynamical systems and wandering domains
info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion