On connectivity of Julia sets of transcendental meromorphic maps and weakly repelling fixed points II

Following the attracting and preperiodic cases ([5]), in this paper we prove the existence of weakly repelling fixed points for transcen- dental meromorphic maps, provided that their Fatou set contains a multiply-connected parabolic basin. We use quasi-conformal surgery and virtually repelling fixed...

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Detalles Bibliográficos
Autores: Fagella Rabionet, Núria, Jarque i Ribera, Xavier, Taixés i Ventosa, Jordi
Tipo de recurso: artículo
Estado:Versión aceptada para publicación
Fecha de publicación:2011
País:España
Institución:Universidad de Barcelona
Repositorio:Dipòsit Digital de la UB
OAI Identifier:oai:diposit.ub.edu:2445/164092
Acceso en línea:https://hdl.handle.net/2445/164092
Access Level:acceso abierto
Palabra clave:Sistemes dinàmics complexos
Funcions meromorfes
Funcions de variables complexes
Complex dynamical systems
Meromorphic functions
Functions of complex variables
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spelling On connectivity of Julia sets of transcendental meromorphic maps and weakly repelling fixed points IIFagella Rabionet, NúriaJarque i Ribera, XavierTaixés i Ventosa, JordiSistemes dinàmics complexosFuncions meromorfesFuncions de variables complexesComplex dynamical systemsMeromorphic functionsFunctions of complex variablesFollowing the attracting and preperiodic cases ([5]), in this paper we prove the existence of weakly repelling fixed points for transcen- dental meromorphic maps, provided that their Fatou set contains a multiply-connected parabolic basin. We use quasi-conformal surgery and virtually repelling fixed point techniques.Institute of Mathematics, Polish Academy of Sciences2011info:eu-repo/semantics/articleinfo:eu-repo/semantics/acceptedVersionapplication/pdfhttps://hdl.handle.net/2445/164092Articles publicats en revistes (Matemàtiques i Informàtica)reponame:Dipòsit Digital de la UBinstname:Universidad de BarcelonaInglésVersió postprint del document publicat a: https://doi.org/10.4064/fm215-2-5Fundamenta Mathematicae, 2011, vol. 215, num. 2, p. 177-202https://doi.org/10.4064/fm215-2-5(c) Institute of Mathematics, Polish Academy of Sciences, 2011info:eu-repo/semantics/openAccessoai:diposit.ub.edu:2445/1640922026-05-27T06:46:51Z
dc.title.none.fl_str_mv On connectivity of Julia sets of transcendental meromorphic maps and weakly repelling fixed points II
title On connectivity of Julia sets of transcendental meromorphic maps and weakly repelling fixed points II
spellingShingle On connectivity of Julia sets of transcendental meromorphic maps and weakly repelling fixed points II
Fagella Rabionet, Núria
Sistemes dinàmics complexos
Funcions meromorfes
Funcions de variables complexes
Complex dynamical systems
Meromorphic functions
Functions of complex variables
title_short On connectivity of Julia sets of transcendental meromorphic maps and weakly repelling fixed points II
title_full On connectivity of Julia sets of transcendental meromorphic maps and weakly repelling fixed points II
title_fullStr On connectivity of Julia sets of transcendental meromorphic maps and weakly repelling fixed points II
title_full_unstemmed On connectivity of Julia sets of transcendental meromorphic maps and weakly repelling fixed points II
title_sort On connectivity of Julia sets of transcendental meromorphic maps and weakly repelling fixed points II
dc.creator.none.fl_str_mv Fagella Rabionet, Núria
Jarque i Ribera, Xavier
Taixés i Ventosa, Jordi
author Fagella Rabionet, Núria
author_facet Fagella Rabionet, Núria
Jarque i Ribera, Xavier
Taixés i Ventosa, Jordi
author_role author
author2 Jarque i Ribera, Xavier
Taixés i Ventosa, Jordi
author2_role author
author
dc.subject.none.fl_str_mv Sistemes dinàmics complexos
Funcions meromorfes
Funcions de variables complexes
Complex dynamical systems
Meromorphic functions
Functions of complex variables
topic Sistemes dinàmics complexos
Funcions meromorfes
Funcions de variables complexes
Complex dynamical systems
Meromorphic functions
Functions of complex variables
description Following the attracting and preperiodic cases ([5]), in this paper we prove the existence of weakly repelling fixed points for transcen- dental meromorphic maps, provided that their Fatou set contains a multiply-connected parabolic basin. We use quasi-conformal surgery and virtually repelling fixed point techniques.
publishDate 2011
dc.date.none.fl_str_mv 2011
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/2445/164092
url https://hdl.handle.net/2445/164092
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/10.4064/fm215-2-5
Fundamenta Mathematicae, 2011, vol. 215, num. 2, p. 177-202
https://doi.org/10.4064/fm215-2-5
dc.rights.none.fl_str_mv (c) Institute of Mathematics, Polish Academy of Sciences, 2011
info:eu-repo/semantics/openAccess
rights_invalid_str_mv (c) Institute of Mathematics, Polish Academy of Sciences, 2011
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Institute of Mathematics, Polish Academy of Sciences
publisher.none.fl_str_mv Institute of Mathematics, Polish Academy of Sciences
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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