A sequence of equicontinuous maps defined on a finite graph, have zero preimage branch entropy.
有限图上等度连续的自映射序列，有零原像分枝熵。
It is shown that, for a given open factor map between minimal dynamical systems, the factor map is positively equicontinuous if and only if each open cover has a bounded relative complexity function.
我们证明了：对于极小动力系统间的开因子映射，它为正向等度连续扩充当且仅当每个开覆盖具有有界的相对复杂性函数。
About Uniform Boundness of Equicontinuous Operator Family in Quasi-Normed Space
赋准范空间上等度连续算子族的一致有界性
First, the notion of relative sensitivity is introduced. It is proved that: for a factor map between minimal dynamical systems, it is either relative sensitive or positively equicontinuous; any non-trivial weakly mixing factor map between dynamical systems is relative sensitive.
首先，我们引入了相对敏感性的概念，证明了：极小动力系统间的因子映射或者为相对敏感的，或者为正向等度连续的；动力系统间非平凡的弱混合因子映射为相对敏感的。
We characterize almost periodicity with equicontinuity, and prove that if the group is uniform equicontinuous then it is topologically equivalent to an isometric one.
本文对一致空间上的群作用，用等度连续性刻画了几乎周期的性质，并且论证了一致等度连续的群作用拓扑等价于一等距的群作用。
In this paper, we mainly study the equicontinuous and scattering properties of the continuous semi-flow on a compact metric space, and get the results as follows:(1) the complexity function defined by spanning set is bounded if and only if the system is equicontinuous;
本文主要研究了紧致度量空间上连续半流的等度连续性及扩散性的特征。证明了如下结论：（1）用生成集定义的复杂性函数的有界性与其等度连续性是等价的；
A Characterization for A Family of Canonical Module Homomorphisms on Random Seminormed Modules to be Equicontinuous
随机半范模上等度连续的典则模同态族的特征
In section 2.3, it is proved that a equicontinuous self-mapping of a compact and connected metric space can not have the POTP.
3节证明了紧致连通的度量空间上的等度连续自映射不具有伪轨跟踪性。
If E is a finite-dimension space, then F is relatively compact iff F is both equicontinuous and uniformly bounded.
然后指出当E是有限维空间时，F是相对紧的当且仅当F是等度连续且一致有界，这推广了AA定理。
We present sufficient and necessary conditions for g ∞ to be equicontinuous (resp. uniformly rigid, mild mixing), and show a sufficient condition for g ∞ to be complete chaos.
给出了诱导映射g∞是等度连续的（一致刚性，mild混合）的充要条件。得出了诱导映射g∞完全混沌的充分条件。