English

Weyl mean equicontinuity and Weyl mean sensitivity of a random dynamical system

Dynamical Systems 2024-03-13 v1

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 and \Omega is finite.

Keywords

Cite

@article{arxiv.2403.07497,
  title  = {Weyl mean equicontinuity and Weyl mean sensitivity of a random dynamical system},
  author = {Yuan Lian},
  journal= {arXiv preprint arXiv:2403.07497},
  year   = {2024}
}

Comments

arXiv admin note: text overlap with arXiv:1106.0150 by other authors