Gibbs-Markov-Young structures with (stretched) exponential tail for partially hyperbolic attractors

• Tipo: Artigo em Revista Científica Internacional
• Data: 2015

Autores

alves, jf (Autor) FCUP; Li, X (Autor) Outra

Revista

Título: Advances in Mathematics

Vol. 279

Páginas: 405-437

ISSN: 0001-8708

Editora: Elsevier

Indexação

ISI Web of Knowledge - 8 Citações

Scopus - 13 Citações

Outras Informações

ID Authenticus: P-00A-CHW

DOI: 10.1016/j.aim.2015.02.017

Abstract (EN): In this work we extend the results obtained by Gouezel in [12] to partially hyperbolic attractors. We study a forward invariant set K on a Riemannian manifold M whose tangent space splits as dominated decomposition TKM = E-cu circle plus E-s, for which the center-unstable direction E-cu is non-uniformly expanding on some local unstable disk. We prove that the (stretched) exponential decay of recurrence times for an induced scheme can be deduced under the assumption of (stretched) exponential decay of the time that typical points need to achieve some uniform expanding in the center-unstable direction. As an application of our results we obtain exponential decay of correlations and exponential large deviations for a class of partially hyperbolic diffeomorphisms considered in [1].

Idioma: Inglês

Tipo (Avaliação Docente): Científica

Nº de páginas: 33