On the mixing property for hyperbolic systems
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Publication:1601462
DOI10.1007/BF02773153zbMath1053.37001MaRDI QIDQ1601462
Publication date: 2002
Published in: Israel Journal of Mathematics (Search for Journal in Brave)
Ergodicity, mixing, rates of mixing (37A25) Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) (37D25) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40)
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Cites Work
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- Entropy, Hausdorff measures old and new, and limit sets of geometrically finite Kleinian groups
- Manifolds of nonpositive curvature and their buildings
- Axial isometries of manifolds of non-positive curvature
- The uniqueness of the measure of maximal entropy for geodesic flows on rank 1 manifolds
- Mixing, counting, and equidistribution in Lie groups
- On the rigidity of discrete isometry groups of negatively curved spaces
- Topologie du feuilletage fortement stable. (Topology of the strong stable foliation)
- Poincaré series of finite geometric groups
- Sur la géométrie symplectique de l'espace des géodésiques d'une variété à courbure négative. (On the symplectic geometry of the space of geodesics of a manifold with negative curvature)
- Applications of ergodic theory to the investigation of manifolds of negative curvature
- A new description of the Bowen—Margulis measure
- Manifolds with non-positive curvature
- Asymptotic behavior of periodic orbits of the horocycle flow and eisenstein series
- Ergodicity of harmonic invariant measures for the geodesic flow on hyperbolic spaces.
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