论文标题
差异性的统计稳定性,主要是扩大且主要是承包中心的统计稳定性
Statistical stability for diffeomorphisms with mostly expanding and mostly contracting centers
论文作者
论文摘要
对于主要具有扩展和主要收缩中心的部分双曲线差异性,我们建立了一种拓扑结构,称为骨骼(一个由有限的多余的周期性点组成的,具有最大性心态,没有异性斜切。我们在任何骨骼和物理措施中构建了周期点之间的一对一对应。通过对骨骼进行扰动,我们研究了$ C^1 $ - 血统下的动态的物理措施的连续性。
For partially hyperbolic diffeomorphisms with mostly expanding and mostly contracting centers, we establish a topological structure, called skeleton{a set consisting of finitely many hyperbolic periodic points with maximal cardinality for which there exist no heteroclinic intersections. We build the one-to-one corresponding between periodic points in any skeleton and physical measures. By making perturbations on skeletons, we study the continuity of physical measures with respect to dynamics under $C^1$-topology.