ℤd-covers of horosphere foliations

Discrete and Continuous Dynamical Systems

Volumn 6, Issue 1, 2000, Pages 147-154

  Pollicott, Mark ^a  

^a UNIVERSITY OF MANCHESTER   (United Kingdom)

Author keywords

Ergodicity; Foliations; Geodesic flow; Horospheres; Symbolic dynamics

Indexed keywords

EID: 0034401926     PISSN: 10780947     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (19)

1. J. Aaronson, Ergodic theory on infinite measure spaces, Amer. Math. Soc., Providence, 1997.
2. J. Aaronson and B. Weiss, A 1-parameter family of infinite measure preserving transformations, Preprint.
3. M. Babillot and F. Ledrappier, Geodesic paths and horocycle flow on abelian covers, Proceedings of the International Colloquium on Lie Groups and Ergodic Theory.
4. R. Bowen, Symbolic Dynamics for hyperbolic flows, Amer. J. Math. 95 (1993), 429-460.
5. R. Bowen, Equilibrium states and the ergodic theory of Anosov diffeomorphisms, Lecture Notes in Mathematics, 470, Springer, Berlin, 1975.
6. R. Bowen and B. Marcus, Unique ergodicity for horocycle foliations, Israel J. Math. 26 (1977), 43-67.
7. R. Bowen and D. Ruelle, The ergodic theory of axiom A flows, Invent. Math. 29 (1975), 181-202.
8. A. Hajian, Y. Ito and S. Kakutani, Invariant measures and orbits of dissipative transformations, Adv. Math. 9 (1972), 52-65.
9. N. Haydn, Gibbs measures for Axiom A flows, preprint.
10. V. Kaimanovich, Seminar, Manchester, December 16, 1997.
11. F. Ledrappier, Horospheres on abelian covers, Bol. Soc. Bras. Mat. 28 (1997), 363-375.
12. F. Ledrappier, Errata to "Horospheres on abelian covers", To appear, Bol. Soc. Bras. Mat..
13. F. Ledrappier, Invariant measures for the stable foliation on abelian covers, Preprint.
14. M. Pollicott and R. Sharp, Orbit counting for for some discrete groups acting on simply connected manifolds with negative curvature, Invent. Math. (1994), 275-302.
15. M. Ratner, Markov partitions for Anosov flows on n-dimensional manifolds, Israel J. Math. (1975), 92-114.
16. M. Rees, Checking ergodicity of some geodesic flows with infinite Gibbs measure, Ergod. Th. and Dyn. Sys. 1 (1981), 107-133.
17. R. Sharp, Closed orbits in homology classses for Anosov flows, Ergod. Th. and Dyn. Sys. 13 (1993), 387-408.
18. A. Starkov, Fuchsian groups from the dynamical viewpoint, Journal of Dynamical and Control Systems 1 (1995), 427-445.
19. C. Yue, The ergodicity of discrete isometry groups on manifolds of variable, Trans. Amer. Math. Soc. 348 (1996), 4965-5005.