Gibbs-Markov structures and limit laws for partially hyperbolic attractors with mostly expanding central direction

• Tipo: Artigo em Revista Científica Internacional
• Data: 2010

Autores

alves, jf (Autor) FCUP; pinheiro, v (Autor) Outra

Revista

Título: Advances in Mathematics

Vol. 223

Páginas: 1706-1730

ISSN: 0001-8708

Editora: Elsevier

Indexação

ISI Web of Knowledge - 11 Citações

Scopus - 14 Citações

Classificação Científica

FOS: Ciências exactas e naturais > Matemática

Outras Informações

ID Authenticus: P-003-884

DOI: 10.1016/j.aim.2009.10.010

Abstract (EN): We consider a partially hyperbolic set K on a Riemannian manifold M whose tangent space splits as T(K)M = E(cu) circle plus E(s), for which the center-unstable direction E(cu) expands non-uniformly on some local unstable disk. We show that under these assumptions f induces a Gibbs-Markov structure. Moreover, the decay of the return time function can be controlled in terms of the time typical points need to achieve some uniform expanding behavior in the center-unstable direction. As an application of the main result we obtain certain rates for decay of correlations, large deviations, an almost sure invariance principle and the validity of the central limit theorem.

Idioma: Inglês

Tipo (Avaliação Docente): Científica

Nº de páginas: 25