论文标题
局部产品结构的措施的千古特性
Ergodic Properties of Measures with Local Product Structure
论文作者
论文摘要
在本文中，我们研究了具有局部产品结构双曲线测量的奇异性质。我们表明，对于这些措施的SRB度量，所有经典结果所持有的所有经典结果。特别是，我们在许多千古组件中表明了分解，我们证明了分解为k组件，并证明对于具有局部产品结构的双曲线测量，k属性意味着Bernoulli属性。我们还举例说明了结果适用的措施。
In this paper, we study ergodic properties of hyperbolic measures with local product structure. We show that all the classical results that hold in the case of SRB measure hold for these measures. In particular, we show the decomposition in countably many ergodic components, we prove the decomposition into K-components, and show that for hyperbolic measure with local product structure, The K property implies the Bernoulli property. We also give some examples of measures where the results are applicable.
