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

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...

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Autores: Benini, Anna Miriam, Evdoridou, Vasiliki, Fagella Rabionet, Núria, Rippon, Philip J., Stallard, Gwyneth M.
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2024
País:España
Institución:Universidad de Barcelona
Repositorio:Dipòsit Digital de la UB
OAI Identifier:oai:diposit.ub.edu:2445/215668
Acceso en línea:https://hdl.handle.net/2445/215668
Access Level:acceso abierto
Palabra clave:Funcions de variables complexes
Funcions meromorfes
Sistemes dinàmics complexos
Functions of complex variables
Meromorphic functions
Complex dynamical systems
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spelling Boundary dynamics for holomorphic sequences, non-autonomous dynamical systems and wandering domainsBenini, Anna MiriamEvdoridou, VasilikiFagella Rabionet, NúriaRippon, Philip J.Stallard, Gwyneth M.Funcions de variables complexesFuncions meromorfesSistemes dinàmics complexosFunctions of complex variablesMeromorphic functionsComplex dynamical systemsThere 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.Elsevier B.V.2024info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfhttps://hdl.handle.net/2445/215668Articles publicats en revistes (Matemàtiques i Informàtica)reponame:Dipòsit Digital de la UBinstname:Universidad de BarcelonaInglésReproducció del document publicat a: https://doi.org/10.1016/j.aim.2024.109673Advances in Mathematics, 2024, vol. 446, p. 1-51https://doi.org/10.1016/j.aim.2024.109673cc by-nc-nd (c) Anna Miriam Benini et al., 2024http://creativecommons.org/licenses/by/3.0/es/info:eu-repo/semantics/openAccessoai:diposit.ub.edu:2445/2156682026-05-27T06:46:51Z
dc.title.none.fl_str_mv Boundary dynamics for holomorphic sequences, non-autonomous dynamical systems and wandering domains
title Boundary dynamics for holomorphic sequences, non-autonomous dynamical systems and wandering domains
spellingShingle Boundary dynamics for holomorphic sequences, non-autonomous dynamical systems and wandering domains
Benini, Anna Miriam
Funcions de variables complexes
Funcions meromorfes
Sistemes dinàmics complexos
Functions of complex variables
Meromorphic functions
Complex dynamical systems
title_short Boundary dynamics for holomorphic sequences, non-autonomous dynamical systems and wandering domains
title_full Boundary dynamics for holomorphic sequences, non-autonomous dynamical systems and wandering domains
title_fullStr Boundary dynamics for holomorphic sequences, non-autonomous dynamical systems and wandering domains
title_full_unstemmed Boundary dynamics for holomorphic sequences, non-autonomous dynamical systems and wandering domains
title_sort Boundary dynamics for holomorphic sequences, non-autonomous dynamical systems and wandering domains
dc.creator.none.fl_str_mv Benini, Anna Miriam
Evdoridou, Vasiliki
Fagella Rabionet, Núria
Rippon, Philip J.
Stallard, Gwyneth M.
author Benini, Anna Miriam
author_facet Benini, Anna Miriam
Evdoridou, Vasiliki
Fagella Rabionet, Núria
Rippon, Philip J.
Stallard, Gwyneth M.
author_role author
author2 Evdoridou, Vasiliki
Fagella Rabionet, Núria
Rippon, Philip J.
Stallard, Gwyneth M.
author2_role author
author
author
author
dc.subject.none.fl_str_mv Funcions de variables complexes
Funcions meromorfes
Sistemes dinàmics complexos
Functions of complex variables
Meromorphic functions
Complex dynamical systems
topic Funcions de variables complexes
Funcions meromorfes
Sistemes dinàmics complexos
Functions of complex variables
Meromorphic functions
Complex dynamical systems
description 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.
publishDate 2024
dc.date.none.fl_str_mv 2024
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv https://hdl.handle.net/2445/215668
url https://hdl.handle.net/2445/215668
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv 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
dc.rights.none.fl_str_mv cc by-nc-nd (c) Anna Miriam Benini et al., 2024
http://creativecommons.org/licenses/by/3.0/es/
info:eu-repo/semantics/openAccess
rights_invalid_str_mv cc by-nc-nd (c) Anna Miriam Benini et al., 2024
http://creativecommons.org/licenses/by/3.0/es/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Elsevier B.V.
publisher.none.fl_str_mv Elsevier B.V.
dc.source.none.fl_str_mv Articles publicats en revistes (Matemàtiques i Informàtica)
reponame:Dipòsit Digital de la UB
instname:Universidad de Barcelona
instname_str Universidad de Barcelona
reponame_str Dipòsit Digital de la UB
collection Dipòsit Digital de la UB
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15,812429

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