Israel Journal of Mathematics

, Volume 129, Issue 1, pp 61–76 | Cite as

On the mixing property for hyperbolic systems

  • Martine Babillot


We describe an elementary argument from abstract ergodic theory that can be used to prove mixing of hyperbolic flows. We use this argument to prove the mixing property of product measures for geodesic flows on (not necessarily compact) negatively curved manifolds. We also show the mixing property for the measure of maximal entropy of a compact rank-one manifold.


Invariant Measure Hyperbolic System Geodesic Flow Curve Manifold Length Spectrum 
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© Hebrew University 2002

Authors and Affiliations

  1. 1.MAPMOUniversité d’OrléansOrléans Cedex 2France

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