Exponential decay of correlations for nonuniformly hyperbolic flows with a C^{1+alpha} stable foliation
Exponential decay of correlations for nonuniformly hyperbolic flows with a C^{1+alpha} stable foliation
复制标题
具有 C^{1 alpha} 稳定叶状结构的非均匀双曲流的相关性的指数衰减
DOI：
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发表时间：
2015
期刊：
影响因子：
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通讯作者：
I. Melbourne
中科院分区：
文献类型：
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作者：
V. Araújo;I. Melbourne
本文证明了在一致不可积条件下，一类C^{1+alpha}一致双曲斜积流的相关系数是指数衰减的.特别是，这建立了一个开放的和密集的一组几何洛伦兹吸引子的经典洛伦兹吸引子附近的相关性的指数衰减。
We prove exponential decay of correlations for a class of C^{1+alpha} uniformly hyperbolic skew product flows, subject to a uniform nonintegrability condition. In particular, this establishes exponential decay of correlations for an open and dense set of geometric Lorenz attractors in a neighborhood of the classical Lorenz attractor.