Univalent wandering domains in the Eremenko-Lyubich class

We use the Folding Theorem of [Bis15] to construct an entire function $f$ in class $\mathcal{B}$ and a wandering domain $U$ of $f$ such that $f$ restricted to $f^{n}(U)$ is univalent, for all $n \geq 0$. The components of the wandering orbit are bounded and surrounded by the postcritical set.

Detalles Bibliográficos
Autores: Fagella Rabionet, Núria, Jarque i Ribera, Xavier, Lazebnik, Kirill
Tipo de recurso: artículo
Estado:Versión aceptada para publicación
Fecha de publicación:2019
País:España
Institución:Universidad de Barcelona
Repositorio:Dipòsit Digital de la UB
OAI Identifier:oai:diposit.ub.edu:2445/164060
Acceso en línea:https://hdl.handle.net/2445/164060
Access Level:acceso abierto
Palabra clave:Funcions de variables complexes
Sistemes dinàmics complexos
Funcions meromorfes
Functions of complex variables
Complex dynamical systems
Meromorphic functions
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spelling Univalent wandering domains in the Eremenko-Lyubich classFagella Rabionet, NúriaJarque i Ribera, XavierLazebnik, KirillFuncions de variables complexesSistemes dinàmics complexosFuncions meromorfesFunctions of complex variablesComplex dynamical systemsMeromorphic functionsWe use the Folding Theorem of [Bis15] to construct an entire function $f$ in class $\mathcal{B}$ and a wandering domain $U$ of $f$ such that $f$ restricted to $f^{n}(U)$ is univalent, for all $n \geq 0$. The components of the wandering orbit are bounded and surrounded by the postcritical set.Springer2019info:eu-repo/semantics/articleinfo:eu-repo/semantics/acceptedVersionapplication/pdfhttps://hdl.handle.net/2445/164060Articles publicats en revistes (Matemàtiques i Informàtica)reponame:Dipòsit Digital de la UBinstname:Universidad de BarcelonaInglésVersió postprint del document publicat a: https://doi.org/10.1007/s11854-027-0079-xJournal d'Analyse Mathematique, 2019, vol. 139, num. 1, p. 369-395https://doi.org/10.1007/s11854-027-0079-x(c) Springer, 2019info:eu-repo/semantics/openAccessoai:diposit.ub.edu:2445/1640602026-05-27T06:46:51Z
dc.title.none.fl_str_mv Univalent wandering domains in the Eremenko-Lyubich class
title Univalent wandering domains in the Eremenko-Lyubich class
spellingShingle Univalent wandering domains in the Eremenko-Lyubich class
Fagella Rabionet, Núria
Funcions de variables complexes
Sistemes dinàmics complexos
Funcions meromorfes
Functions of complex variables
Complex dynamical systems
Meromorphic functions
title_short Univalent wandering domains in the Eremenko-Lyubich class
title_full Univalent wandering domains in the Eremenko-Lyubich class
title_fullStr Univalent wandering domains in the Eremenko-Lyubich class
title_full_unstemmed Univalent wandering domains in the Eremenko-Lyubich class
title_sort Univalent wandering domains in the Eremenko-Lyubich class
dc.creator.none.fl_str_mv Fagella Rabionet, Núria
Jarque i Ribera, Xavier
Lazebnik, Kirill
author Fagella Rabionet, Núria
author_facet Fagella Rabionet, Núria
Jarque i Ribera, Xavier
Lazebnik, Kirill
author_role author
author2 Jarque i Ribera, Xavier
Lazebnik, Kirill
author2_role author
author
dc.subject.none.fl_str_mv Funcions de variables complexes
Sistemes dinàmics complexos
Funcions meromorfes
Functions of complex variables
Complex dynamical systems
Meromorphic functions
topic Funcions de variables complexes
Sistemes dinàmics complexos
Funcions meromorfes
Functions of complex variables
Complex dynamical systems
Meromorphic functions
description We use the Folding Theorem of [Bis15] to construct an entire function $f$ in class $\mathcal{B}$ and a wandering domain $U$ of $f$ such that $f$ restricted to $f^{n}(U)$ is univalent, for all $n \geq 0$. The components of the wandering orbit are bounded and surrounded by the postcritical set.
publishDate 2019
dc.date.none.fl_str_mv 2019
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/acceptedVersion
format article
status_str acceptedVersion
dc.identifier.none.fl_str_mv https://hdl.handle.net/2445/164060
url https://hdl.handle.net/2445/164060
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv Versió postprint del document publicat a: https://doi.org/10.1007/s11854-027-0079-x
Journal d'Analyse Mathematique, 2019, vol. 139, num. 1, p. 369-395
https://doi.org/10.1007/s11854-027-0079-x
dc.rights.none.fl_str_mv (c) Springer, 2019
info:eu-repo/semantics/openAccess
rights_invalid_str_mv (c) Springer, 2019
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Springer
publisher.none.fl_str_mv Springer
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 15.301603

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