Hyperbolic Times: Frequency vs. Integrability

@inproceedings{Alves2003HyperbolicTF,
  title={Hyperbolic Times: Frequency vs. Integrability},
  author={Jos{\'e} F. Alves and Vitor Ara{\'u}jo and BSTRACT},
  year={2003}
}
We consider dynamical systems on compact manifolds, which 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 some (strong) integrability of the first hyperbolic time map implies the existence of a positive Lebesgue measure subset of points with positive… CONTINUE READING

From This Paper

Figures, tables, results, connections, and topics extracted from this paper.
9 Extracted Citations
24 Extracted References
Similar Papers

Referenced Papers

Publications referenced by this paper.
Showing 1-10 of 24 references

SRB measures for partially hyperbolic systems with mostly expanding central direction

  • J. F. Alves, C. Bonatti, M. Viana
  • Invent. Math. 140
  • 2000
Highly Influential
6 Excerpts

On iterations of 1 − ax 2 on ( − 1 , 1 )

  • L. Carleson Benedicks
  • Almost sure rates of mixing for i . i . d…
  • 2002

Statistical stability for robust classes of maps with nonuniform expansion , Ergod

  • J. F. Alves, M. Viana
  • . Th . & Dynam . Sys .
  • 2002
2 Excerpts

V

  • V. Baladi, M. Benedicks
  • Maume-Deschamps, Almost sure rates of mixing for…
  • 2002
1 Excerpt

SRB measures for non-hyperbolic systems with multidimensional expansion

  • J. F. Alves
  • Ann. Scient. Éc. Norm. Sup., 4e série, 33
  • 2000
2 Excerpts

Strange attractors with one direction of instability

  • L.-S. Young Q. Wang
  • Commun . Math . Phys .
  • 1997

Introduction to the modern theory of dynamical systems

  • A. Katok, B. Hasselblatt
  • Cambridge Univ. Press, New York
  • 1995

Similar Papers

Loading similar papers…