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The unique ergodigity of the horocycle flow

Part of the Lecture Notes in Mathematics book series (LNM,volume 318)

Keywords

  • Harmonic Function
  • Invariant Measure
  • Homogeneous Space
  • Geodesic Flow
  • Positive Harmonic Function

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Bibliography

  1. L. Auslander, L. Green, and F. Hahn, Flows on Homogeneous Spaces. Annals of Mathematics Studies No. 53 (1963), Princeton.

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  2. H. Furstenberg, "Strict ergodicity and transformations of the torus", American Journal of Mathematics 83 (1961) 573–601

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  6. G. A. Hedlund, "Fuchsian groups and transitive horocycles", Duke Mathematical Journal 2 (1936) 530–542.

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© 1973 Springer-Verlag

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Furstenberg, H. (1973). The unique ergodigity of the horocycle flow. In: Beck, A. (eds) Recent Advances in Topological Dynamics. Lecture Notes in Mathematics, vol 318. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0061726

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  • DOI: https://doi.org/10.1007/BFb0061726

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-06187-8

  • Online ISBN: 978-3-540-38414-4

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