Ergodic Theory pp 347-402 | Cite as

More Dynamics on Quotients of the Hyperbolic Plane

  • Manfred Einsiedler
  • Thomas Ward


We continue the study of actions on locally homogeneous spaces by developing more of the dynamics of the modular surface. We prove ergodicity of the horocycle flow, and go on to deduce from mixing of the geodesic flow a form of unique ergodicity for the horocycle flow. We use this, together with the ergodic decomposition, to establish equidistribution for orbits of the horocycle flow.


Periodic Orbit Invariant Measure Unitary Representation Haar Measure Fundamental Domain 
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Copyright information

© Springer-Verlag London Limited 2011

Authors and Affiliations

  1. 1.Departement MathematikETH ZurichZurichSwitzerland
  2. 2.School of MathematicsUniversity of East AngliaNorwichUK

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