SRB measures for partially hyperbolic systems whose central direction is weakly expanding

• Tipo: Artigo em Revista Científica Internacional
• Data: 2017

Autores

alves, jf (Autor) FCUP; Dias, CL (Autor) Outra; Luzzatto, S (Autor) Outra; Pinheiro, V (Autor) Outra

Revista

Título: Journal of the European Mathematical Society

Vol. 19

Páginas: 2911-2946

ISSN: 1435-9855

Editora: European Mathematical Society Publishing House

Indexação

ISI Web of Knowledge - 14 Citações

Scopus - 19 Citações

Outras Informações

ID Authenticus: P-00N-53W

DOI: 10.4171/jems/731

Abstract (EN): We consider partially hyperbolic C1+ diffeomorphisms of compact Riemannian manifolds of arbitrary dimension which admit a partially hyperbolic tangent bundle decomposition E-s circle plus E-cu. Assuming the existence of a set of positive Lebesgue measure on which f satisfies a weak nonuniform expansivity assumption in the centre unstable direction, we prove that there exist at most a finite number of transitive attractors each of which supports an SRB measure. As part of our argument, we prove that each attractor admits a Gibbs-Markov-Young geometric structure with integrable return times. We also characterize in this setting SRB measures which are liftable to Gibbs-Markov-Young structures.

Idioma: Inglês

Tipo (Avaliação Docente): Científica

Nº de páginas: 36