Hyperbolic times: Frequency versus integrability

Ergodic Theory and Dynamical Systems

Volumn 24, Issue 2, 2004, Pages 329-346

  Alves, José F ^a   Araújo, Vítor ^a  

^a UNIVERSITY OF PORTO   (Portugal)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 2442529848     PISSN: 01433857     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0143385703000555     Document Type: Article

References (20)

1. J. F. Alves. SRB measures for non-hyperbolic systems with multidimensional expansion. Ann. Sci. École Norm. Suppl. 33(4) (2000), 1-32.
2. J. F. Alves and V. Araújo. Random perturbations of non-uniformly expanding maps. Astérisque 286 (2003), 25-62.
3. J. F. Alves, C. Bonatti and M. Viana. SRB measures for partially hyperbolic systems with mostly expanding central direction. Invent. Math. 140 (2000), 351-398.
4. J. F. Alves, S. Luzzatto and V. Pinheiro. Markov structures and decay of correlations for non-uniformly expanding dynamical systems. Preprint, 2002. CMUP.
5. J. F. Alves and M. Viana. Statistical stability for robust classes of maps with nonuniform expansion. Ergod. Th. & Dynam. Sys. 22 (2002), 1-32.
6. V. Baladi, M. Benedicks and V. Maume-Deschamps. Almost sure rates of mixing for i.i.d. unimodal maps. Ann. Sci. École Norm. Suppl. 35(4) (2002), 77-126.
7. 2 on (-1, 1). Ann. Math. 122 (1985), 1-25.
8. M. Benedicks and L. Carleson. The dynamics of the Hénon map. Ann. Math. 133 (1991), 73-169.
9. M. Benedicks and L.-S. Young. Absolutely continuous invariant measures and random perturbations for certain one-dimensional maps. Ergod. Th. & Dynam. Sys. 12 (1992), 13-37.
10. M. Benedicks and L.-S. Young. SRB-measures for certain Hénon maps. Invent. Math. 112 (1993), 541-576.
11. D. Dolgopyat, V. Kaloshin and L. Koralov. Hausdorff dimension in stochastic dispersion. J. Stat. Phys. 108(5-6) (2002), 943-971.
12. M. Jakobson. Absolutely continuous invariant measures for one-parameter families of one-dimensional maps. Comm. Math. Phys. 81 (1981), 39-88.
13. A. Katok and B. Hasselblatt. Introduction to the Modern Theory of Dynamical Systems. Cambridge University Press, New York, 1995.
14. R. Mañé. Ergodic Theory and Differentiable Dynamics. Springer, Berlin, 1987.
15. P. Manneville. Intermittency, self-similarity and 1/f spectrum in dissipative dynamical systems. J. Physique 41 (1980), 1235-1243.
16. L. Mora and M. Viana. Abundance of strange attractors. Acta Math. 171 (1993), 1-71.
17. V. Pliss. On a conjecture due to Smale. Diff. Uravnenija 8 (1972), 262-268.
18. M. Viana. Strange attractors in higher dimensions. Bull. Braz. Math. Soc. 24 (1993), 13-62.
19. M. Viana. Multidimensional non-hyperbolic attractors. Publ. Math. IHES 85 (1997), 63-96.
20. Q. Wang and L.-S. Young. Strange attractors with one direction of instability. Comm. Math. Phys. 218(1) (2001), 1-97.