{"title":"Mean topological dimension of induced amenable group actions","authors":"Ruxi Shi , Guohua Zhang","doi":"10.1016/j.jde.2025.02.014","DOIUrl":null,"url":null,"abstract":"<div><div>In this paper we generalize <span><span>[3, Main Theorem]</span></span> from actions of a single transformation to amenable group actions, which answers affirmatively the question raised in <span><span>[3]</span></span> by Burguet and the first-named author of the paper.</div></div>","PeriodicalId":15623,"journal":{"name":"Journal of Differential Equations","volume":"427 ","pages":"Pages 827-842"},"PeriodicalIF":2.4000,"publicationDate":"2025-02-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Differential Equations","FirstCategoryId":"100","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0022039625001275","RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
Abstract
In this paper we generalize [3, Main Theorem] from actions of a single transformation to amenable group actions, which answers affirmatively the question raised in [3] by Burguet and the first-named author of the paper.
期刊介绍:
The Journal of Differential Equations is concerned with the theory and the application of differential equations. The articles published are addressed not only to mathematicians but also to those engineers, physicists, and other scientists for whom differential equations are valuable research tools.
Research Areas Include:
• Mathematical control theory
• Ordinary differential equations
• Partial differential equations
• Stochastic differential equations
• Topological dynamics
• Related topics