南方科技大学知识苑(SUSTech KC): Density of the Level Sets of the Metric Mean Dimension for Homeomorphisms

题名	Density of the Level Sets of the Metric Mean Dimension for Homeomorphisms
作者	Acevedo，Jeovanny M.1; Romaña，Sergio 2,3; Arias，Raibel 4
通讯作者	Acevedo，Jeovanny M.
发表日期	2024
DOI	10.1007/s10884-023-10344-5
发表期刊	Journal of Dynamics and Differential Equations 影响因子和分区
ISSN	1040-7294
EISSN	1572-9222
摘要	Let N be an n-dimensional compact riemannian manifold, with (Formula presented.). In this paper, we prove that for any (Formula presented.), the set consisting of homeomorphisms on N with lower and upper metric mean dimensions equal to (Formula presented.) is dense in (Formula presented.). More generally, given (Formula presented.), with (Formula presented.), we show the set consisting of homeomorphisms on N with lower metric mean dimension equal to (Formula presented.) and upper metric mean dimension equal to (Formula presented.) is dense in (Formula presented.). Furthermore, we also give a proof that the set of homeomorphisms with upper metric mean dimension equal to n is residual in (Formula presented.).
关键词	Genericity Mean dimension Metric mean dimension Topological entropy
相关链接	[Scopus记录]
收录类别	SCI
语种	英语
学校署名	其他
Scopus记录号	2-s2.0-85184473223
来源库	Scopus
引用统计	被引频次[WOS]：1
成果类型	期刊论文
条目标识符	http://sustech.caswiz.com/handle/2SGJ60CL/701646
专题	理学院_数学系
作者单位	1.Jeovanny de Jesus Muentes Acevedo,Facultad de Ciencias Básicas,Universidad Tecnológica de Bolívar,Cartagena de Indias,Colombia 2.Instituto de Matemática,Universidade Federal do Rio de Janeiro,Rio de Janeiro,CEP 21941-909,Brazil 3.Department of Mathematics,Southern University of Science and Technology,Shenzhen,China 4.Universidade Federal de Maranhão,Campus Balsas,Brazil
推荐引用方式 GB/T 7714	Acevedo，Jeovanny M.,Romaña，Sergio,Arias，Raibel. Density of the Level Sets of the Metric Mean Dimension for Homeomorphisms[J]. Journal of Dynamics and Differential Equations,2024.
APA	Acevedo，Jeovanny M.,Romaña，Sergio,&Arias，Raibel.(2024).Density of the Level Sets of the Metric Mean Dimension for Homeomorphisms.Journal of Dynamics and Differential Equations.
MLA	Acevedo，Jeovanny M.,et al."Density of the Level Sets of the Metric Mean Dimension for Homeomorphisms".Journal of Dynamics and Differential Equations (2024).