摘要
该文首先介绍了无限可数离散顺从群作用的连续随机动力系统的Weyl平均等度连续性和Weyl平均敏感性,然后得到了当随机动力系统相应的斜积变换为极小作用时系统的Weyl平均等度连续性和Weyl平均敏感性之间具有二分法的结论.
In this article,we introduce the concepts of Weyl-mean equicontinuity and Weyl-mean sensitivity of a random dynamical system associated to an infinite countable discrete amenable group action.We obtain the dichotomy result to Weyl-mean equicontinuity and Weyl-mean sensitivity of a random dynamical system when the corresponding skew product transformation is minimal.
作者
连媛
刘红军
朱斌
Lian Yuan;Liu Hongjun;Zhu Bin(College of Mathematics and Statistics,Taiyuan Normal University,Shanxi Jinzhong 030619;School of Mathematical Sciences,Guizhou Normal University,Guiyang 550025;School of Mathematics and Statistics,Chongqing Technology and Business University,Chongqing 400067)
出处
《数学物理学报（A辑）》
CSCD
北大核心
2024年第6期1595-1606,共12页
Acta Mathematica Scientia
基金
山西省基础研究(202103021223322)。
