Invariant Radon Measures for Horocycle Flows on Abelian Covers
نویسنده
چکیده
We classify the ergodic invariant Radon measures for horocycle flows on Zd–covers of compact Riemannian surfaces of negative curvature, thus proving a conjecture of M. Babillot and F. Ledrappier. An important tool is a result in the ergodic theory of equivalence relations concerning the reduction of the range of a cocycle by the addition of a coboundary.
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