2026-04-13T01:28:01Zhttps://recercat.cat/oai/request

oai:recercat.cat:2445/2156682025-12-05T09:58:54Zcom_2072_1057col_2072_478917col_2072_478920

Boundary dynamics for holomorphic sequences, non-autonomous dynamical systems and wandering domains Benini, Anna Miriam Evdoridou, Vasiliki Fagella Rabionet, Núria Rippon, Philip J. Stallard, Gwyneth M. Funcions de variables complexes Funcions meromorfes Sistemes dinàmics complexos Functions of complex variables Meromorphic functions Complex dynamical systems 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. 2024-10-11T06:36:21Z 2024-10-11T06:36:21Z 2024-06 2024-10-11T06:36:21Z info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion Reproducció del document publicat a: https://doi.org/10.1016/j.aim.2024.109673 Advances in Mathematics, 2024, vol. 446, p. 1-51 https://doi.org/10.1016/j.aim.2024.109673 cc by-nc-nd (c) Anna Miriam Benini et al., 2024 http://creativecommons.org/licenses/by/3.0/es/ info:eu-repo/semantics/openAccess Elsevier B.V. Articles publicats en revistes (Matemàtiques i Informàtica)