MINIMALITY

作品数:14被引量:21H指数:3
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相关领域:理学更多>>
相关期刊:《Journal of Mathematical Study》《Acta Mathematica Scientia》《Chinese Annals of Mathematics,Series B》《Applied Mathematics》更多>>
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Unique Ergodicity for Zero-entropy Dynamical Systems with the Approximate Product Property
《Acta Mathematica Sinica,English Series》2021年第2期362-376,共15页Peng SUN 
Supported by National Natural Science Foundation of China(Grant No.11571387);CUFE Young Elite Teacher Project(Grant No.QYP1902)。
We show that for every topological dynamical system with the approximate product property, zero topological entropy is equivalent to unique ergodicity. Equivalence of minimality is also proved under a slightly stronge...
关键词:Approximate product property unique ergodicity topological entropy ergodic measure MINIMALITY specification gluing orbit interval map periodic points 
ON THE ENTROPY OF FLOWS WITH REPARAMETRIZED GLUING ORBIT PROPERTY被引量:2
《Acta Mathematica Scientia》2020年第3期855-862,共8页Peng SUN 
supported by National Natural Science Foundation of China (11571387);CUFE Young Elite Teacher Project (QYP1902)
We show that a flow or a semiflow with a weak form of reparametrized gluing orbit property has positive topological entropy if it is not minimal.
关键词:Flow gluing orbit property reparametrization MINIMALITY topological entropy 
A Minimality of the Rational Canonical Form
《Advances in Linear Algebra & Matrix Theory》2019年第4期83-88,共6页Heguo Liu Honglian Zhang 
The rational canonical form theorem is very essential basic result of matrix theory, which has been proved by different methods in the literature. In this note, we provide an effcient direct proof, from which the mini...
关键词:MINIMAL POLYNOMIAL RATIONAL CANONICAL Form Cyclic SUBSPACE 
Some Notes on k-minimality
《Journal of Mathematical Study》2019年第1期53-59,共7页Azam Etemad Dehkordy 
The concept of minimality is generalized in different ways,one of which is the definition of k-minimality.In this paper k-minimality is studied for minimal hypersurfaces of a Euclidean space under different conditions...
关键词:k-minimal minimal hypersurface L_(k)−conjecture 
Topological complexity, minimality and systems of order two on torus被引量:2
《Science China Mathematics》2016年第3期503-514,共12页qiao yi xiao 
National Natural Science Foundation of China (Grant Nos. 11225105 and 11371339)
The dynamical system on T^2 which is a group extension over an irrational rotation on T^1 is investigated. The criterion when the extension is minimal, a system of order 2 and when the maximal equicontinuous factor is...
关键词:topological complexity minimality 2-step nilsystem 
A Note on Double Minimality被引量:1
《Communications in Mathematics and Statistics》2015年第1期57-61,共5页Wen Huang Xiangdong Ye 
Authors are supported by NNSF of China 11225105,11371339 and 11431012.
It is known that a minimal prime system is either a subshift or with a connected phase space(Keynes and Newton TransAmMath Soc 217:237-255,1976).We show that a double minimal system is a subshift;this implies immediat...
关键词:Double minimal POD Uniformly rigid 
On Basis Properties of Degenerate Exponential System
《Applied Mathematics》2012年第12期1963-1966,共4页Mamedova Zahira 
Exponential systems of the form are considered, where is a degenerate coefficient, is a set of all integers and . The basis properties of these systems in , when, generally speaking, doesn’t satisfy the Muckenhoupt c...
关键词:SYSTEM of EXPONENTS Degeneration BASICITY COMPLETENESS MINIMALITY 
Minimality of Complex Exponential System
《Journal of Mathematical Research and Exposition》2011年第4期681-686,共6页Feng VAN Guan Tie DENG 
Supported by the National Natural Science Foundation of China (Grant No.10671022);the Research Foundation for Doctor Programme (Grant No.20060027023)
A sufficient condition is obtained for the minimality of the complex exponential system E(A, M) = {z^le^λnz: l = 0, 1,,.., mn - 1; n = 1, 2,...} in the Banaeh space La^p consisting of all functions f such that f^...
关键词:MINIMALITY complex exponential system Taylor-Dirichlet series. 
Incompleteness and Minimality of Exponential System
《Journal of Mathematical Research and Exposition》2011年第2期215-223,共9页Si Yu KE Guan Tie DENG 
Supported by the National Natural Science Foundation of China (Grant No. 11071020);the Research Foundation for Doctor Program (Grant No. 20100003110004)
Necessary and sufficient conditions are obtained for the incompleteness and the minimality of the exponential system E(Λ,M) = {z l e λ n z : l = 0,1,...,m n-1;n = 1,2,...} in the Banach space E 2 [σ] consisting ...
关键词:INCOMPLETENESS MINIMALITY exponential system 
Sensitivity and regionally proximal relation in minimal systems被引量:5
《Science China Mathematics》2008年第6期987-994,共8页SHAO Song YE XiangDong ZHANG RuiFeng 
the National Natural Science Foundation of China(Grant Nos.10501042,10531010);the Ministry of Education of China(Grant No.20050358053)
A topological dynamical system is n-sensitive,if there is a positive constant such that in each non-empty open subset there are n distinct points whose iterates will be apart from the constant at least for a same mome...
关键词:sensitivity n-sensitivity regionally proximal relation MINIMALITY 37B05 
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