Hyperbolic times: frequency versus integrability

• Tipo: Artigo em Revista Científica Internacional
• Data: 2004

Autores

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

Revista

Título: Ergodic Theory and Dynamical Systems

Vol. 24

Páginas: 329-346

ISSN: 0143-3857

Editora: Cambridge University Press

Indexação

ISI Web of Knowledge - 9 Citações

Scopus - 15 Citações

Classificação Científica

FOS: Ciências exactas e naturais > Matemática

Outras Informações

ID Authenticus: P-000-AY2

DOI: 10.1017/s0143385703000555

Abstract (EN): We consider dynamical systems on compact manifolds that are local diffeomorphisms outside an exceptional set (a compact submanifold). We are interested in analyzing the relation between the integrability (with respect to Lebesgue measure) of the first hyperbolic time map and the existence of positive frequency of hyperbolic times. We show that a (strong) integrability of the first hyperbolic time map implies a positive frequency of hyperbolic times. We also present an example of a map with a positive frequency of hyperbolic times at Lebesgue almost every point, but whose first hyperbolic time map is not integrable with respect to the Lebesgue measure.

Idioma: Inglês

Tipo (Avaliação Docente): Científica

Nº de páginas: 18