8 citations · 15 across the 5 of their papers we have counts for
7 papers
Broken family sensitivity in transitive systems
Jian Li, Yini Yang
Let be a topological dynamical system, and be a Furstenberg family of subsets of . is called broken --sensitiv…
Graph maps with zero topological entropy and sequence entropy pairs
Jian Li, Xianjuan Liang, Piotr Oprocha
We show that graph map with zero topological entropy is Li-Yorke chaotic if and only if it has an NS-pair (a pair of non-separable points containing in a same solenoidal -limit…
The topological structure of function space of transitive maps
Zhaorong He, Jian Li, Zhongqiang Yang
Let be the set of all continuous self-maps from with the topology of uniformly convergence. A map is called a transitive ma…
The Hausdorff dimension of multiply Xiong chaotic sets
Jian Li, Jie Lü, Yuanfen Xiao
We construct a multiply Xiong chaotic set with full Hausdorff dimension everywhere that is contained in some multiply proximal cell for the full shift over finite symbols and the G…
Bounded complexity, mean equicontinuity and discrete spectrum
Wen Huang, Jian Li, Jean-Paul Thouvenot +2
We study dynamical systems which have bounded complexity with respect to three kinds metrics: the Bowen metric , the max-mean metric and the mean metric $\bar{d}_n…
On dynamics of graph maps with zero topological entropy
Jian Li, Piotr Oprocha, Yini Yang +1
We explore the dynamics of graph maps with zero topological entropy. It is shown that a continuous map on a topological graph has zero topological entropy if and only if it…