论文标题
对动态系统中次指数增长的熵类型不变型的调查
Survey on entropy-type invariants of sub-exponential growth in dynamical systems
论文作者
论文摘要
测量理论和拓扑熵是动态系统理论中的经典不变性。有几种用于亚指数生长系统的最近开发的熵类型不变性：序列熵，慢熵，kakutani不变性，缩放熵，熵尺寸和熵收敛速率。他们通过不同的方法来测量零熵系统的复杂性。这些新的不变和相应的新理论具有许多应用程序和有趣的属性。该调查论文对缓慢的熵理论进行了全面的解释，并讨论了一些相关的主题。
Measure-theoretic and topological entropy are classical invariants in the theory of dynamical systems. There are several recently developed entropy type invariants for systems of sub-exponential growth: sequence entropy, slow entropy, Kakutani invariants, scaled entropy, entropy dimensions and entropy convergence rate. They measure the complexity of zero entropy systems by different approaches. These new invariants and corresponding new theories have many applications and interesting properties. This survey paper gives a comprehensive exposition of the slow entropy theory and also discusses some related topics.
