A note on the periodic orbits and topological entropy of graph maps

This paper deals with the relationship between the periodic orbits of continuous maps on graphs and the topological entropy of the map. We show that the topological entropy of a graph map can be approximated by the entropy of its periodic orbits.

Detalles Bibliográficos
Autores: Alsedà i Soler, Lluís, Juher, J., Mumbrú i Rodriguez, Pere
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2001
País:España
Institución:Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
Repositorio:Recercat. Dipósit de la Recerca de Catalunya
OAI Identifier:oai:recercat.cat:2445/7725
Acceso en línea:https://hdl.handle.net/2445/7725
Access Level:acceso abierto
Palabra clave:Dinàmica topològica
Entropia
Maps of trees and graphs
Topological dynamics
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spelling A note on the periodic orbits and topological entropy of graph mapsAlsedà i Soler, LluísJuher, J.Mumbrú i Rodriguez, PereDinàmica topològicaEntropiaMaps of trees and graphsTopological dynamicsThis paper deals with the relationship between the periodic orbits of continuous maps on graphs and the topological entropy of the map. We show that the topological entropy of a graph map can be approximated by the entropy of its periodic orbits.American Mathematical Society200920092001info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersion7 p.application/pdfhttps://hdl.handle.net/2445/7725Articles publicats en revistes (Matemàtiques i Informàtica)reponame:Recercat. Dipósit de la Recerca de Catalunyainstname:Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)InglésReproducció digital del document publicat en format paper, proporcionada per JSTOR http://www.jstor.org/stable/2668827Proceedings of the American Mathematical Society, 2001, vol. 129, núm. 10, p. 2941-2946.(c) American Mathematical Society, 2001info:eu-repo/semantics/openAccessoai:recercat.cat:2445/77252026-05-29T05:05:01Z
dc.title.none.fl_str_mv A note on the periodic orbits and topological entropy of graph maps
title A note on the periodic orbits and topological entropy of graph maps
spellingShingle A note on the periodic orbits and topological entropy of graph maps
Alsedà i Soler, Lluís
Dinàmica topològica
Entropia
Maps of trees and graphs
Topological dynamics
title_short A note on the periodic orbits and topological entropy of graph maps
title_full A note on the periodic orbits and topological entropy of graph maps
title_fullStr A note on the periodic orbits and topological entropy of graph maps
title_full_unstemmed A note on the periodic orbits and topological entropy of graph maps
title_sort A note on the periodic orbits and topological entropy of graph maps
dc.creator.none.fl_str_mv Alsedà i Soler, Lluís
Juher, J.
Mumbrú i Rodriguez, Pere
author Alsedà i Soler, Lluís
author_facet Alsedà i Soler, Lluís
Juher, J.
Mumbrú i Rodriguez, Pere
author_role author
author2 Juher, J.
Mumbrú i Rodriguez, Pere
author2_role author
author
dc.subject.none.fl_str_mv Dinàmica topològica
Entropia
Maps of trees and graphs
Topological dynamics
topic Dinàmica topològica
Entropia
Maps of trees and graphs
Topological dynamics
description This paper deals with the relationship between the periodic orbits of continuous maps on graphs and the topological entropy of the map. We show that the topological entropy of a graph map can be approximated by the entropy of its periodic orbits.
publishDate 2001
dc.date.none.fl_str_mv 2001
2009
2009
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/2445/7725
url https://hdl.handle.net/2445/7725
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv Reproducció digital del document publicat en format paper, proporcionada per JSTOR http://www.jstor.org/stable/2668827
Proceedings of the American Mathematical Society, 2001, vol. 129, núm. 10, p. 2941-2946.
dc.rights.none.fl_str_mv (c) American Mathematical Society, 2001
info:eu-repo/semantics/openAccess
rights_invalid_str_mv (c) American Mathematical Society, 2001
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 7 p.
application/pdf
dc.publisher.none.fl_str_mv American Mathematical Society
publisher.none.fl_str_mv American Mathematical Society
dc.source.none.fl_str_mv Articles publicats en revistes (Matemàtiques i Informàtica)
reponame:Recercat. Dipósit de la Recerca de Catalunya
instname:Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
instname_str Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
reponame_str Recercat. Dipósit de la Recerca de Catalunya
collection Recercat. Dipósit de la Recerca de Catalunya
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15,812429

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