115 citations · 746 across the 51 of their papers we have counts for
6 papers · 1 filter
Weak disjointness of hypercyclic operators
Jian Li, Qijing Liao, Yonghang Ruan
We study the weak disjointness of hypercyclic operators to refine the classifications of hypercyclic operators. We establish an analogue of the Weiss-Akin-Glasner Theorem from topo…
Mean Li-Yorke chaos for a sequence of operators on Banach spaces
Jian Li, Xinsheng Wang, Jianjie Zhao
In this paper, we obtain the dichotomy for mean equicontinuity and mean sensitivity for a sequence of bounded linear operators from a Banach space to a normed linear space. The mea…
Density properties of orbits for a hypercyclic operator on a Banach space
Jian Li, Xinsheng Wang, Jianjie Zhao
We study density properties of orbits for a hypercyclic operator on a separable Banach space , and show that exactly one of the following four cases holds: (1) every vector…
Distributionally chaotic -semigroups on complex sectors
Zhen Jiang, Jian Li, Yini Yang
We explore distributional chaos for -semigroups of linear operators on Banach spaces whose index set is a sector in the complex plane. We establish the relationship between di…
Dense uniform Li-Yorke chaos for linear operators on a Banach space
Jian Li, Xinsheng Wang
This paper focuses on the dense uniform Li-Yorke chaos for linear operators on a Banach space. Some sufficient conditions and equivalent conditions are established under which the…
A note on logarithmic mean equicontinuity
Dominik Kwietniak, Jian Li, Habibeh Pourmand
We study the set of harmonic limits of empirical measures in topological dynamical systems. We obtain a characterization of unique ergodicity based of logarithmic (harmonic) mean c…