Israel Journal of Mathematics

, Volume 129, Issue 1, pp 61–76

On the mixing property for hyperbolic systems

Article

DOI: 10.1007/BF02773153

Cite this article as:
Babillot, M. Isr. J. Math. (2002) 129: 61. doi:10.1007/BF02773153

Abstract

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.

Copyright information

© Hebrew University 2002

Authors and Affiliations

  1. 1.MAPMOUniversité d’OrléansOrléans Cedex 2France