English

Sequence entropy for amenable group actions

Dynamical Systems 2023-11-27 v4

Abstract

We study the sequence entropy for amenable group actions and investigate systematically spectrum and several mixing concepts via sequence entropy both in measure-theoretic dynamical systems and topological dynamical systems. Moreover, we use sequence entropy pairs to characterize weakly mixing and null systems.

Keywords

Cite

@article{arxiv.2210.16044,
  title  = {Sequence entropy for amenable group actions},
  author = {Chunlin Liu and Kesong Yan},
  journal= {arXiv preprint arXiv:2210.16044},
  year   = {2023}
}
R2 v1 2026-06-28T04:42:39.607Z