3 papers
math.DS2024
Correlation entropy of free semigroup actions
Xiaojiang Ye, Yanjie Tang, Dongkui Ma
This paper introduces the concepts of correlation entropy and local correlation entropy for free semigroup actions on compact metric space, and explores their fundamental propertie…
math.DS2023
Shadowable points of free semigroup actions
Ritong Li, Dongkui Ma, Rui Kuang +1
The shadowable points of dynamical systems has been well-studied by Morales \cite{MR3535492}. This paper aims to generalize the main results obtained by Morales to free semigroup a…
math.DS2023
Metric mean dimension of free semigroup actions for non-compact sets
Yanjie Tang, Xiaojiang Ye, Dongkui Ma
In this paper, we introduce the notions of upper metric mean dimension, -upper metric mean dimension, -upper metric mean dimension of free semigroup actions for non-compact s…