EQUICONTINUITY

作品数：11被引量：4H指数：1
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相关领域：理学更多>>
相关期刊：《Acta Mathematica Scientia》《Chinese Annals of Mathematics,Series B》《Acta Mathematica Sinica,English Series》《Journal of Systems Science & Complexity》更多>>
相关基金：国家自然科学基金上海市教育委员会重点学科基金江苏省“青蓝工程”基金更多>>
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THE SYSTEMS WITH ALMOST BANACH-MEAN EQUICONTINUITY FOR ABELIAN GROUP ACTIONS被引量：1
《Acta Mathematica Scientia》2022年第3期919-940,共22页Bin ZHU Xiaojun HUANG Yuan LIAN 
supported by NSF of China(11671057);NSF of Chongqing(cstc2020jcyj-msxmX0694);the Fundamental Research Funds for the Central Universities(2018CDQYST0023).
In this paper,we present the concept of Banach-mean equicontinuity and prove that the Banach-,Weyl-and Besicovitch-mean equicontinuities of a dynamic system of Abelian group action are equivalent.Furthermore,we obtain...
关键词：Abelian group action Banach mean equicontinuous Banach mean density independence set 
A NOTE ON MEASURE-THEORETIC EQUICONTINUITY AND RIGIDITY
《Acta Mathematica Scientia》2022年第2期769-773,共5页Chiyi LUO Yun ZHAO 
Supported by the National Natural Science Founda-tion of China(11790274 and 11871361);partially supported by Qinglan project of Jiangsu Province。
Given a topological dynamical system(X,T)and a T-invariant measureμ,let B denote the Borel σ-algebra on X.This paper proves that(X,B,μ,T)is rigid if and only if(X,T)isμ-A-equicontinuous in the mean for some subseq...
关键词：Measure-theoretic equicontinuity RIGIDITY mean metric 
THE PROXIMAL RELATION,REGIONALLY PROXIMAL RELATION AND BANACH PROXIMAL RELATION FOR AMENABLE GROUP ACTIONS
《Acta Mathematica Scientia》2021年第3期729-752,共24页Yuan LIAN Xiaojun HUANG Zhiqiang LI 
supported by NSF of China(11671057);NSF of Chongqing(cstc2020jcyj-msxm X0694);the Fundamental Research Funds for the Central Universities(2018CDQYST0023)。
In this paper,we study the proximal relation,regionally proximal relation and Banach proximal relation of a topological dynamical system for amenable group actions.A useful tool is the support of a topological dynamic...
关键词：Proximal relation amenable group mean equicontinuity 
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