activity
20162024
most citedThe upper capacity topological entropy of free semigroup actions for certain non-compact sets,

3 citations · 6 across the 9 of their papers we have counts for

collaborators

9 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…

math.DS2023★ 3 cited

The upper capacity topological entropy of free semigroup actions for certain non-compact sets,

Yanjie Tang, Xiaojiang Ye, Dongkui Ma

This paper's major purpose is to continue the work of Zhu and Ma[1]. To begin, the -almost product property, more general irregular and regular sets, and some new notio…

math.DS2022

Chain recurrence rates and topological entropy for free semigroup actions

Yanjie Tang, Xiaojiang Ye, Dongkui Ma

Misiurewicz[19]introducedtheconceptofpseudo-entropyandproved this quantity coincides with topological entropy. Richeson et al. [21] obtained the lower bounded of topological entrop…

math.DS2020

Topological pressure of free semigroup actions for non-compact sets and Bowen's equation, II

Qian Xiao, Dongkui Ma

Inspired to the work of Ma and Wu\cite{Ma} and Climenhaga\cite{Climenhaga}, we introduce the new nation of topological pressure of a semigroup of maps by using the Carathéodory-Pes…

math.DS2020★ 1 cited

Topological pressure of free semigroup actions for non-compact sets and Bowen's equation

Qian Xiao, Dongkui Ma

Climenhaga showed the applicability of Bowen equation to arbitrary subset of a compact metric space. The main purpose of this paper is to generalize the main result of Climenhaga t…

math.DS2016★ 1 cited

Topological pressure of proper map

Dongkui Ma, Nuanni Fan

Based on the Carathéodory -Pesin structure theory[11], we introduce three notions of topological pressure of a proper map and provide some properties of these notions. For the prop…

math.DS2016★ 1 cited

On the measure-theoretic entropy and topological pressure of free semigroup actions(to appear in ETDS)

Xiaogang Lin, Dongkui Ma, Yupan Wang

In this paper, we introduce the notions of topological pressure and measure-theoretic entropy for a free semigroup action. Suppose that a free semigroup acts on a compact metric sp…