On topological entropy, Lefschetz numbers and Lefschetz zeta functions
In the present article we give sufficient conditions for C∞ self-maps on some connected compact manifolds in order to have positive entropy. The conditions are given in terms of the Lefschetz numbers of the iterates of the map and/or its Lefschetz zeta function. We consider the cases where the manif...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2019 |
| País: | España |
| Institución: | Universitat Autònoma de Barcelona |
| Repositorio: | Dipòsit Digital de Documents de la UAB |
| Idioma: | inglés |
| OAI Identifier: | oai:ddd.uab.cat:221307 |
| Acceso en línea: | https://ddd.uab.cat/record/221307 https://dx.doi.org/urn:doi:10.1016/j.topol.2019.106906 |
| Access Level: | acceso abierto |
| Palabra clave: | Entropy Lefschetz zeta function Lefschetz numbers Product of spheres Surfaces Torus |
| Sumario: | In the present article we give sufficient conditions for C∞ self-maps on some connected compact manifolds in order to have positive entropy. The conditions are given in terms of the Lefschetz numbers of the iterates of the map and/or its Lefschetz zeta function. We consider the cases where the manifold is a compact orientable and non-orientable surface, the n-dimensional torus, the product of n spheres of dimension ℓ and the product of spheres of different dimensions. |
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