Topological entropy and periods of graph maps
We give a complete description of the set of periods of continuous self-maps on graphs which have zero topological entropy and all their branching points are fixed. As a corollary we get a criterion for positive topological entropy for continuous self-maps on graphs. We also prove that the results a...
| Autores: | , |
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| Tipo de documento: | artigo |
| Data de publicação: | 2012 |
| País: | España |
| Recursos: | Universitat Autònoma de Barcelona |
| Repositório: | Dipòsit Digital de Documents de la UAB |
| Idioma: | inglês |
| OAI Identifier: | oai:ddd.uab.cat:150558 |
| Acesso em linha: | https://ddd.uab.cat/record/150558 https://dx.doi.org/urn:doi:10.1080/10236198.2011.561202 |
| Access Level: | Acceso aberto |
| Palavra-chave: | Graph maps Periodic points Periods Topological entropy |
| Resumo: | We give a complete description of the set of periods of continuous self-maps on graphs which have zero topological entropy and all their branching points are fixed. As a corollary we get a criterion for positive topological entropy for continuous self-maps on graphs. We also prove that the results are optimal. |
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