Raghunathan’s conjectures for SL(2,R)

1. R. Bowen,Weak mixing and unique ergodicity on homogeneous spaces, Isr. J. Math.23 (1976), 267–273.

   Article  MATH  MathSciNet  Google Scholar 

2. R. Bowen and D. Ruelle,The Ergodic Theory of Axiom A Flows, Invent. Math.29 (1975), 181–204.

   Article  MATH  MathSciNet  Google Scholar 

3. S. G. Dani,Invariant measures and minimal sets of horospherical flows, Invent. Math.64 (1981), 357–385.

   Article  MATH  MathSciNet  Google Scholar 

4. S. G. Dani,On orbits of unipotent flows on homogeneous spaces, II, Ergodic Theory and Dynamical Systems6 (1986), 167–182.

   MATH  MathSciNet  Google Scholar 

5. S. G. Dani and J. Smillie,Uniform distribution of horocycle orbits for Fuchsian groups, Duke Math. J.5 (1984), 185–194.

   Article  MathSciNet  Google Scholar 

6. R. Ellis and W. Perrizo,Unique ergodicity of flows on homogeneous spaces, Isr. J. Math.29 (1978), 276–284.

   Article  MATH  MathSciNet  Google Scholar 

7. H. Furstenberg,Strict ergodicity and transformations of the torus, Amer. J. Math.83 (1961), 573–601.

   Article  MATH  MathSciNet  Google Scholar 

8. H. Furstenberg,The unique ergodicity of the horocycle flow, in “Recent Advances in Topological Dynamics”, Lecture Notes in Math.318, Springer, Berlin (1972), 95–115.

   Chapter  Google Scholar 

9. G. A. Hedlund,Fuchsian groups and transitive horocycles, Duke Math. J.2 (1936), 530–542.

   Article  MATH  MathSciNet  Google Scholar 

10. G. A. Margulis,Discrete subgroups and ergodic theory, Proc. of the Conference in Honor of A. Selberg (1980), Oslo.

11. G. A. Margulis,Dynamical and ergodic properties of subgroup actions on homogeneous spaces with applications to number theory, Proc. of ICM (1990), Kyoto.

12. W. Parry,Ergodic properties of affine transformations and flows on nilmanifolds, Amer. J. Math.91 (1969), 757–771.

    Article  MATH  MathSciNet  Google Scholar 

13. M. Ratner,Strict measure rigidity for unipotent subgroups of solvable groups, Invent. Math.101 (1990), 449–482.

    Article  MATH  MathSciNet  Google Scholar 

14. M. Ratner,On measure rigidity for unipotent subgroups of semisimple groups, Acta Math.165 (1990), 229–309.

    Article  MathSciNet  Google Scholar 

15. M. Ratner,On Raghunathan’s measure conjecture, Ann. of Math.134 (1991), 545–607.

    Article  MathSciNet  Google Scholar 

16. M. Ratner,Raghunathan’s topological conjecture and distributions of unipotent flows, Duke Math. J.63 (1991), 235–280.

    Article  MATH  MathSciNet  Google Scholar 

17. M. Ratner,Horocycle flows: joining and rigidity of products, Ann. Math.118 (1983), 277–313.

    Article  MathSciNet  Google Scholar 

18. P. Sarnak,Asymptotic behavior of periodic orbits of the horocycle flow and Eisenstein Series, Communications on Pure and Applied Math.34 (1981), 719–739.

    Article  MATH  MathSciNet  Google Scholar 

19. Ya. G. Sinai,Gibbs measures in ergodic theory, Russian Math. Surveys166 (1972), 21–69.

    Article  MathSciNet  Google Scholar 

20. N. Shah,Uniformly distributed orbits of certain flows on homogeneous spaces, Math. Ann.289 (1991), 315–334.

    Article  MATH  MathSciNet  Google Scholar 

21. W. Veech,Unique ergodicity of horospherical flows, Amer. J. Math.99 (1977), 827–859.

    Article  MATH  MathSciNet  Google Scholar 

Download references