Acta Mathematica

, Volume 156, Issue 1, pp 1–32 | Cite as

Rigidity of time changes for horocycle flows

  • Marina Ratner
Article

Keywords

Measure Preserve Pairwise Disjoint Time Change Stable Leaf Positive Measurable Function 

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References

  1. [1]
    Dani, S. G., Dynamics of the horospherical flow.Bull. Amer. Math. Soc., 3 (1980), 1037–1039.CrossRefMATHMathSciNetGoogle Scholar
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    Moore, C., Exponential decay of matrix coefficients. To appear.Google Scholar
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    Ornstein, D. &Smorodinsky, M., Continuous speed changes for flows.Israel J. Math., 31 (1978), 161–168.CrossRefMATHMathSciNetGoogle Scholar
  4. [4]
    Ratner, M., Horocycle flows are loosely Bernoulli.Israel J. Math., 31 (1978), 122–132.CrossRefMATHMathSciNetGoogle Scholar
  5. [5]
    —, The Cartesian square of the horocycle flow is not loosely Bernoulli.Israel J. Math., 34 (1979), 72–96.CrossRefMATHMathSciNetGoogle Scholar
  6. [6]
    —, Rigidity of horocycle flows.Ann. of Math., 115 (1982), 587–614.CrossRefMathSciNetGoogle Scholar
  7. [7]
    Ratner, M. Ergodic theory in hyperbolic space.Contemp. Math., 26.Google Scholar

Copyright information

© Almqvist & Wiksell 1986

Authors and Affiliations

  • Marina Ratner
    • 1
  1. 1.University of CaliforniaBerkeleyUSA

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