On the mixing property for hyperbolic systems
On the mixing property for hyperbolic systems
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DOI：
10.1007/bf02773153
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发表时间：
2002-12
影响因子：
1
通讯作者：
M. Babillot
中科院分区：
文献类型：
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作者：
M. Babillot
我们从抽象遍历理论中描述了一个可以用来证明双曲流混合的基本论点。我们用这个论点证明了负弯曲流形上（不一定是紧化的）测地线流积测度的混合性质。我们还证明了紧秩1流形最大熵测度的混合性质。
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.