Benini, Anna MiriamEvdoridou, VasilikiFagella Rabionet, NúriaRippon, Philip J.Stallard, Gwyneth M.2024-10-112024-10-112024-060001-8708https://hdl.handle.net/2445/215668There 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.51 p.application/pdfengcc by-nc-nd (c) Anna Miriam Benini et al., 2024http://creativecommons.org/licenses/by/3.0/es/Funcions de variables complexesFuncions meromorfesSistemes dinàmics complexosFunctions of complex variablesMeromorphic functionsComplex dynamical systemsinfo:eu-repo/semantics/article7501792024-10-11info:eu-repo/semantics/openAccess