| Texto completo | |
| Autor(es): |
Ponce, Gabriel
Número total de Autores: 1
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| Tipo de documento: | Artigo Científico |
| Fonte: | Nonlinearity; v. 32, n. 7, p. 2337-2351, JUL 2019. |
| Citações Web of Science: | 0 |
| Resumo | |
Given a partially hyperbolic diffeomorphism f : M -> M defined on a compact Riemannian manifold M, in this paper we define the concept of unstable topological entropy off on a set Y subset of M not necessarily compact. Using recent results of Yang (2016 (arXiv:1601.05504)) and Hu et al (2017 Adv. Math. 321 31-68) we extend a theorem of Bowen (1973 Trans. Am. Math. Soc. 184 125-36) proving that, for an ergodic f-invariant measure it , the unstable measure theoretical entropy off is upper bounded by the unstable topological entropy off on any set of positive mu-measure. We define a notion of unstable topological entropy of f using a Hausdorff dimension like characterization and we prove that this definition coincides with the definition of unstable topological entropy introduced in Hu et al (2017 Adv. Math. 321 31-68). (AU) | |
| Processo FAPESP: | 16/05384-0 - Dinâmica de Folheações e Rigidez de Medidas Ergódicas |
| Beneficiário: | Gabriel Ponce |
| Modalidade de apoio: | Auxílio à Pesquisa - Regular |