{"title":"Upper metric mean dimension with potential and BS dimension of a factor map","authors":"Zhongxuan Yang, Xiaojun Huang","doi":"10.1016/j.jmaa.2025.129788","DOIUrl":null,"url":null,"abstract":"<div><div>In this paper, we mainly focus on the upper metric mean dimension with potential and BS dimension of a factor map. We aim to build a link between the localize manifestations of upper metric mean dimension with potential (BS dimension) and the overarching upper metric mean with potential dimension (BS dimension).</div></div>","PeriodicalId":50147,"journal":{"name":"Journal of Mathematical Analysis and Applications","volume":"552 2","pages":"Article 129788"},"PeriodicalIF":1.2000,"publicationDate":"2025-06-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Mathematical Analysis and Applications","FirstCategoryId":"100","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0022247X25005694","RegionNum":3,"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 mainly focus on the upper metric mean dimension with potential and BS dimension of a factor map. We aim to build a link between the localize manifestations of upper metric mean dimension with potential (BS dimension) and the overarching upper metric mean with potential dimension (BS dimension).
期刊介绍:
The Journal of Mathematical Analysis and Applications presents papers that treat mathematical analysis and its numerous applications. The journal emphasizes articles devoted to the mathematical treatment of questions arising in physics, chemistry, biology, and engineering, particularly those that stress analytical aspects and novel problems and their solutions.
Papers are sought which employ one or more of the following areas of classical analysis:
• Analytic number theory
• Functional analysis and operator theory
• Real and harmonic analysis
• Complex analysis
• Numerical analysis
• Applied mathematics
• Partial differential equations
• Dynamical systems
• Control and Optimization
• Probability
• Mathematical biology
• Combinatorics
• Mathematical physics.