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...
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...
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...
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...
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...
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...
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^...
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 ...
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...