随机动力系统的Weyl平均等度连续性和Weyl平均敏感性  

Weyl Mean Equicontinuity and Weyl Mean Sensitivity of A Random Dynamical System

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)

机构地区：[1]太原师范学院数学与统计学院,山西晋中030619 [2]贵州师范大学数学科学学院,贵阳550025 [3]重庆工商大学数学与统计学院,重庆400067

出　　处：《数学物理学报（A辑）》2024年第6期1595-1606,共12页Acta Mathematica Scientia

基　　金：山西省基础研究(202103021223322)。

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.

关 键 词：平均等度连续性 平均敏感性 随机动力系统 

分 类 号：O193[理学—数学]