Stable ergodicity and Anosov flows

Topology

Volumn 39, Issue 1, 2000, Pages 149-159

  Burns, Keith ^a   Pugh, Charles ^b   Wilkinson, Amie ^a  

^a NORTHWESTERN UNIVERSITY   (United States)

^b UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0033633467     PISSN: 00409383     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0040-9383(98)00064-0     Document Type: Article

References (14)

1. D.V. Anosov, Geodesic flows on closed Riemann manifolds with negative curvature, Proceedings of the Steklov Institute of Mathematics 90 (1967).
2. M. Brin, Ya. Pesin, Partially hyperbolic dynamical systems, Mathematics of the USSR Izvestija 8 (1974) 177-218.
3. L. Bunimovich, On a class of special flows, Mathematics of the USSR Izvestija 8 (1974) 219-232.
4. M. Grayson, C. Pugh, M. Shub, Stably ergodic diffeomorphisms, Annals of Mathematics 140 (1994) 295-329.
5. E. Hopf, Statistik der geodätischen Linien in Mannigfaltigkeiten negativer Krümmung, Berichte über die Verhadlunger der SäChsichen Akademie der Wissenschaften zer Leipzig 91 (1939) 261-304.
6. S. Hurder, A. Katok, Differentiability, rigidity and Godbillon-Vey classes for Anosov flows, Publ. Institut des Hautes Études Scientifiques Publications Mathématiques 72 (1990) 5-61.
7. A. Katok, A. Kononenko, Cocycles' stability for partially hyperbolic systems, Mathematical Research Letters 3 (1996) 191-210.
8. D.S. Ornstein, B. Weiss, Geodesic flows are Bernoullian, Israel Journal of Mathematics 14 (1973) 184-198.
9. J. Plante. Anosov flows, American Journal of Mathematics 94 (1972) 729-754.
10. C. Pugh, M. Shub, Stable ergodicity and Julienne quasi-conformality, Preprint, 1997.
11. C. Pugh, M. Shub, Stably ergodic dynamical systems and partial hyperbolicity, Journal of Complexity 13 (1997).
12. C. Pugh, M. Shub, A. Wilkinson. Hölder foliations. Duke Mathematical Journal 86 (1997) 517-546.
13. M. Ratner, Anosov flows with Gibbs measures are also Bernoullian, Israel Journal of Mathematics 17 (1974) 380-391.
14. A.M. Wilkinson, Stable ergodicity of the time-one map of a geodesic flow, Ergodic Theory and Dynamical Systems, to appear.