Ruelle operator and transcendental entire maps

We calculate the Ruelle operator of a transcendental entire function f having only a finite set of algebraic singularities. Moreover, under certain topological conditions on the postcritical set we prove (i) if f has a summable critical point, then f is not structurally stable and (ii) if all critic...

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Detalles Bibliográficos
Autores: Dominguez, P, Makienko, PM, Sienra, G
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2005
País:México
Institución:Universidad Nacional Autónoma de México
Repositorio:Sistema de Información de la Facultad de Ciencias, UNAM
OAI Identifier:oai:repositorio.fciencias.unam.mx:11154/1466
Acceso en línea:http://hdl.handle.net/11154/1466
Access Level:acceso abierto
Palabra clave:Mathematics, Applied
Mathematics
Ruelle operator
entire functions
Julia set
Fatou set
invariant line fields
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spelling Ruelle operator and transcendental entire mapsDominguez, PMakienko, PMSienra, GMathematics, AppliedMathematicsRuelle operatorentire functionsJulia setFatou setinvariant line fieldsWe calculate the Ruelle operator of a transcendental entire function f having only a finite set of algebraic singularities. Moreover, under certain topological conditions on the postcritical set we prove (i) if f has a summable critical point, then f is not structurally stable and (ii) if all critical points of f belonging to Julia set are summable, then there do not exist invariant lines fields on the Julia set.2011-01-22T10:26:33Z2011-01-22T10:26:33Z2005info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article1078-0947http://hdl.handle.net/11154/1466162012(4):773-789reponame:Sistema de Información de la Facultad de Ciencias, UNAMinstname:Universidad Nacional Autónoma de Méxicoinstacron:UNAMenDiscrete and Continuous Dynamical Systemsinfo:eu-repo/semantics/openAccessoai:repositorio.fciencias.unam.mx:11154/14662025-09-17T19:20:17Z
dc.title.none.fl_str_mv Ruelle operator and transcendental entire maps
title Ruelle operator and transcendental entire maps
spellingShingle Ruelle operator and transcendental entire maps
Dominguez, P
Mathematics, Applied
Mathematics
Ruelle operator
entire functions
Julia set
Fatou set
invariant line fields
title_short Ruelle operator and transcendental entire maps
title_full Ruelle operator and transcendental entire maps
title_fullStr Ruelle operator and transcendental entire maps
title_full_unstemmed Ruelle operator and transcendental entire maps
title_sort Ruelle operator and transcendental entire maps
dc.creator.none.fl_str_mv Dominguez, P
Makienko, PM
Sienra, G
author Dominguez, P
author_facet Dominguez, P
Makienko, PM
Sienra, G
author_role author
author2 Makienko, PM
Sienra, G
author2_role author
author
dc.subject.none.fl_str_mv Mathematics, Applied
Mathematics
Ruelle operator
entire functions
Julia set
Fatou set
invariant line fields
topic Mathematics, Applied
Mathematics
Ruelle operator
entire functions
Julia set
Fatou set
invariant line fields
description We calculate the Ruelle operator of a transcendental entire function f having only a finite set of algebraic singularities. Moreover, under certain topological conditions on the postcritical set we prove (i) if f has a summable critical point, then f is not structurally stable and (ii) if all critical points of f belonging to Julia set are summable, then there do not exist invariant lines fields on the Julia set.
publishDate 2005
dc.date.none.fl_str_mv 2005
2011-01-22T10:26:33Z
2011-01-22T10:26:33Z
dc.type.none.fl_str_mv info:eu-repo/semantics/publishedVersion
info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv 1078-0947
http://hdl.handle.net/11154/1466
1620
identifier_str_mv 1078-0947
1620
url http://hdl.handle.net/11154/1466
dc.language.none.fl_str_mv en
language_invalid_str_mv en
dc.relation.none.fl_str_mv Discrete and Continuous Dynamical Systems
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.source.none.fl_str_mv 12(4):773-789
reponame:Sistema de Información de la Facultad de Ciencias, UNAM
instname:Universidad Nacional Autónoma de México
instacron:UNAM
instname_str Universidad Nacional Autónoma de México
instacron_str UNAM
institution UNAM
reponame_str Sistema de Información de la Facultad de Ciencias, UNAM
collection Sistema de Información de la Facultad de Ciencias, UNAM
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15,811543

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