论文标题
通过通用度量平滑Anosov Katok差异性
Smooth Anosov Katok Diffeomorphisms With Generic Measure
论文作者
论文摘要
我们构建了许多具有非共性通用措施以及各种其他混合和拓扑特性的Anosov-katok差异性。我们还构建了包含系统的通用点的集合的显式集合,并具有其Hausdorff尺寸的有趣值。
We construct a plethora of Anosov-Katok diffeomorphisms with non-ergodic generic measures and various other mixing and topological properties. We also construct an explicit collection of the set containing the generic points of the system with interesting values of its Hausdorff dimension.