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Topological entropy and periods of self–maps on compact manifolds
dc.contributor.author | García Guirao, Juan Luis | |
dc.contributor.author | Llibre i Saló, Jaume | |
dc.date.accessioned | 2020-04-29T09:34:53Z | |
dc.date.available | 2020-04-29T09:34:53Z | |
dc.date.issued | 2017 | |
dc.identifier.citation | Guirao, J. L. G., & Llibre, J. (2017). Topological entropy and periods of self-maps on compact manifolds. Houston Journal of Mathematics, 43(4),1337-1347 | es_ES |
dc.identifier.issn | 0362-1588 | |
dc.description.abstract | Let (M; f) be a discrete dynamical system induced by a self{map f defined on a smooth compact connected n{dimensional manifold M. We provide sufficient conditions in terms of the Lefschetz zeta function in order that: (1) f has positive topological entropy when f is C1, and (2) f has infinitely many periodic points when f is C1 and f(M) ⊆ Int(M). Moreover, for the particular manifolds Sn, Sn x Sm, CPn and HPn we improve the previous sufficient conditions. | es_ES |
dc.description.sponsorship | The first author of this work was partially supported by MINECO grant number MTM2014-51891-P and Fundación Séneca de la Región de Murcia grant number 19219/PI/14. The second author is partially supported by a MINECO grant MTM2013-40998-P, an AGAUR grant number 2014SGR-568, and the grants FP7-PEOPLE-2012-IRSES 318999 and 316338. | es_ES |
dc.format | application/pdf | es_ES |
dc.language.iso | eng | es_ES |
dc.publisher | Department of Mathematics, University of Houston | es_ES |
dc.relation.uri | https://www.math.uh.edu/~hjm/Vol43-4.html | es_ES |
dc.rights | Atribución-NoComercial-SinDerivadas 3.0 España | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/3.0/es/ | * |
dc.title | Topological entropy and periods of self–maps on compact manifolds | es_ES |
dc.type | info:eu-repo/semantics/article | es_ES |
dc.subject.other | Matemática Aplicada | es_ES |
dc.subject | Compact manifold | es_ES |
dc.subject | Topological entropy | es_ES |
dc.subject | Discrete dynamical systems | es_ES |
dc.subject | Lefschetz numbers | es_ES |
dc.subject | Lefschetz zeta function | es_ES |
dc.subject | Periodic point | es_ES |
dc.identifier.uri | http://hdl.handle.net/10317/8503 | |
dc.identifier.url | https://www.math.uh.edu/~hjm/Vol43-4.html | |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | es_ES |
dc.type.version | info:eu-repo/semantics/acceptedVersion | es_ES |
dc.relation.projectID | MTM2014-51891-P | es_ES |
dc.relation.projectID | 19219/PI/14 | es_ES |
dc.relation.projectID | MTM2013-40998-P | es_ES |
dc.relation.projectID | 2014SGR-568 | es_ES |
dc.relation.projectID | FP7-PEOPLE-2012-IRSES 318999 | es_ES |
dc.relation.projectID | FP7-PEOPLE-2012-IRSES 316338 | es_ES |
dc.subject.unesco | 12 Matemáticas | es_ES |
dc.contributor.funder | Fundación Séneca | es_ES |
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