Anosov diffeomorphisms, anisotropic BV spaces and regularity of foliations
Anosov diffeomorphisms, anisotropic BV spaces and regularity of foliations
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Anosov 微分同胚、各向异性 BV 空间和叶状结构的规律性
DOI：
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发表时间：
2020
影响因子：
0.9
通讯作者：
C. Liverani
中科院分区：
文献类型：
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作者：
Wael Bahsoun;C. Liverani
摘要 给定任何光滑的 Anosov 映射，我们构造一个 Banach 空间，其上相关的传递算子是拟紧的。这种空间的特殊性在于，在展开映射的情况下，它精确地简化为有界变分函数的通常空间，这已被证明在研究分段展开映射的统计特性方面特别成功。我们的方法基于一种研究叶状结构绝对连续性的新方法，该方法提供了新的信息，可用于处理具有奇点的双曲系统。
Abstract Given any smooth Anosov map, we construct a Banach space on which the associated transfer operator is quasi-compact. The peculiarity of such a space is that, in the case of expanding maps, it reduces exactly to the usual space of functions of bounded variation which has proved to be particularly successful in studying the statistical properties of piecewise expanding maps. Our approach is based on a new method of studying the absolute continuity of foliations, which provides new information that could prove useful in treating hyperbolic systems with singularities.
由碰撞耦合的地图晶格
影响因子：
2.4
作者：
G. Keller;C. Liverani
通讯作者：
C. Liverani