Compact locally maximal hyperbolic sets for smooth maps: fine statistical properties
Compact locally maximal hyperbolic sets for smooth maps: fine statistical properties
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平滑映射的紧凑局部最大双曲集：精细统计特性
DOI：
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发表时间：
2006
期刊：
影响因子：
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通讯作者：
C. Liverani
中科院分区：
文献类型：
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作者：
S. Gouezel;C. Liverani
通过几何定义的函数空间，利用映射在双曲集邻域中的平滑性，研究了紧致局部极大双曲集。这提供了一个独立的理论，不仅再现了所有已知的经典结果，而且对这些系统的统计特性提供了新的见解。
Compact locally maximal hyperbolic sets are studied via geometrically defined functional spaces that take advantage of the smoothness of the map in a neighborhood of the hyperbolic set. This provides a self-contained theory that not only reproduces all the known classical results, but also gives new insights on the statistical properties of these systems.