Rational ergodicity of geodesic flows

@inproceedings{Aaronson2007RationalEO,
  title={Rational ergodicity of geodesic flows},
  author={Jon Aaronson and D. Sullivan},
  year={2007}
}
We prove the rational egodicity of geodesic flows on divergence type surfaces of constant negative curvature, and identify their asymptotic types. 0. Introduction We discuss recurrence and transitivity properties of geodesies on hyperbolic surfaces (complete, two dimensional Riemannian manifolds with constant curvature -1). Every such surface has the unit disc as universal cover and can be viewed as H/Y where H is the unit disc equipped with the hyperbolic metric and Y is the covering group of… CONTINUE READING

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References

Publications referenced by this paper.
Showing 1-10 of 17 references

Checking ergodicity of some geodesic flows with infinite Gibbs measure

M. Rees
Ergod. Th. & Dynam. Sys. 1 • 1981

On the ergodic theory at infinity of an arbitrary discrete group of hyperbolic motions

D. Sullivan
Annals of Math. Studies, 97 • 1979

On the pointwise ergodic behaviour of transformations preserving infinite measures

J. Aaronson
IsraelJ. Math. 32 • 1979

Geometry and topology of 3-manifolds

W. Thurston
Preprint, • 1978

On the ergodic theory of non-integrable functions and infinite measure spaces

J. Aaronson
Israel J. Math. 27 • 1977

Rational ergodicity and a metric invariant for Markov shifts

J. Aaronson
IsraelJ. Math. 27 • 1977

Transitivity properties of Fuchsian groups

P. Nicholls
Canad. J. Math. 28 • 1976

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