Stably ergodic approximation: Two examples

Ergodic Theory and Dynamical Systems

Volumn 20, Issue 3, 2000, Pages 875-893

  Shub, Michael ^a   Wilkinson, Amie ^b  

^a IBM T J WATSON RESEARCH CENTER   (United States)

^b NORTHWESTERN UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0034380425     PISSN: 01433857     EISSN: None     Source Type: Journal    
DOI: 10.1017/S014338570000047X     Document Type: Article

References (11)

1. M. Brin. Topological transitivity of a class of dynamical systems and frame flows on manifolds with negative curvature. Func. Anal. Appl. 9(1) (1975), 9-19.
2. K. Burns, C. Pugh and A. Wilkinson. Stable ergodicity and Anosov flows. Topology 39 (2000), 149-159.
3. J. Brezin and M. Shub. Stable ergodicity in homogeneous spaces. Bol. Soc. Brasil. Mat. 28(2) (1997), 197-210.
4. K. Burns and A. Wilkinson. Stable ergodicity of skew products. Ann. Sci. de l'Ecole Norm. Sup. 32 (1999), 859-889.
5. C. Q. Cheng and Y. S. Sun. Existence of invariant tori in three-dimensional measure-preserving mappings. Celestial Mech. Dynam. Astronom. 47(3) (1989/90), 275-292.
6. A. Katok and A. Kononenko. Cocycles' stability for partially hyperbolic systems. Math. Res. Lett. 3(2) (1996), 191-210.
7. W. Parry. Dynamical systems on nilmanifolds. Bull. London Math. Soc. 2 (1970), 37-40.
8. C. Pugh and M. Shub. Stably ergodic dynamical systems and partial hyperbolicity. J. Complexity 13(1) (1997), 125-179.
9. C. Pugh and M. Shub. Stable ergodicity and Julienne quasiconformality. J. Eur. Math. Soc. to appear.
10. Z. Xia. Existence of invariant tori in volume-preserving diffeomorphisms. Ergod. Th. & Dynam. Sys. 12(3) (1992), 621-631.
11. J.-C. Yoccoz. Travaux de Herman sur les tores invariants. (Séminaire Bourbaki, Vol. 1991/92). Astérisque 4(206) (1992), 311-344.