Acta mathematica scientia,Series A ›› 2024, Vol. 44 ›› Issue (6): 1595-1606.

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

Lian Yuan1,*(),Liu Hongjun2(),Zhu Bin3()   

  1. 1College of Mathematics and Statistics, Taiyuan Normal University, Shanxi Jinzhong 030619
    2School of Mathematical Sciences, Guizhou Normal University, Guiyang 550025
    3School of Mathematics and Statistics, Chongqing Technology and Business University, Chongqing 400067
  • Received:2024-02-21 Revised:2024-06-11 Online:2024-12-26 Published:2024-11-22
  • Supported by:
    Fundamental Research Program of Shanxi Province(202103021223322)

Abstract:

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.

Key words: Mean equicontinuity, Mean sensitivity, Random dynamical system

CLC Number: 

  • O193
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