拓扑序列复杂性和混合

TOPOLOGICAL SEQUENCE COMPLEXITY AND MIXING

本文给出动力系统的拓扑序列复杂函数和族F-扩散的概念,利用序列复杂函数给出一致刚性、等度连续性和F-混合的特征,并讨论了族F-混合与一致刚性、相关族扩散、混沌及序列等度连续点存在性的关系.

This article introduces the notions of topological sequence complexity and F-scattering with respect to a family F for a dynamical system. The author gives the characterization of uniformly rigid, equicontinuity and F-mixing by the sequence complexity function respectively and discusses the relations between F-mixing, uniformly rigid, F' -scattering with respect to some family F', chaos and the existence of sequence equicontinuous points.