论文标题
不稳定系统的扩展熵
Scaling Entropy of Unstable Systems
论文作者
论文摘要
在这项工作中,我们研究了A. M. Vershik提出的动力系统的慢熵类型。我们提供了一个系统的明确结构,该系统的缩放熵序列是空的。对于这种不稳定的情况,我们介绍了不变的升级概念,概括了亚功能结果,并提供了一系列示例。
In this work, we study the slow entropy type invariant of a dynamical system proposed by A. M. Vershik. We provide an explicit construction of a system whose class of scaling entropy sequences is empty. For this unstable case, we introduce an upgraded notion of the invariant, generalize subadditivity results, and provide a complete series of examples.