论文标题
限制Toral翻译定理
Limit theorems for toral translations
论文作者
论文摘要
我们讨论了一些经典和最新的结果以及关于toral翻译上方的千古和统计行为的开放问题,以及它们在二芬太汀近似值以及与准周期动力学有关的系统(例如偏斜产物,圆柱形级联和特殊流程)的系统的细胞性质上的应用。
We discuss some classical and recent results and open problems on the statistical behavior of ergodic sums above toral translations, and their applications to Diophantine approximations and to ergodic properties of systems related to quasi-periodic dynamics such as skew products, cylindrical cascades and special flows.