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Statistical properties of mostly contracting fast-slow partially hyperbolic systems

机译:大多数收缩快慢部分双曲系统的统计性质

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We consider a class of partially hyperbolic systems on described by maps where are expanding maps of the circle. For sufficiently small and generic in an open set, we precisely classify the SRB measures for and their statistical properties, including exponential decay of correlation for Holder observables with explicit and nearly optimal bounds on the decay rate.
机译:我们考虑一类由地图描述的部分双曲系统,其中该地图正在扩展圆形地图。对于开放集中足够小的泛型,我们对SRB度量及其统计属性进行精确分类,包括对Holder可观测变量的相关性的指数衰减,其衰减率具有明确且接近最佳的界限。

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