115 citations · 746 across the 51 of their papers we have counts for
6 papers · 1 filter
Mean equicontinuity and mean sensitivity
Jian Li, Siming Tu, Xiangdong Ye
Answering an open question affirmatively it is shown that every ergodic invariant measure of a mean equicontinuous (i.e. mean-L-stable) system has discrete spectrum. Dichotomy resu…
On proximality with Banach density one
Jian Li, Siming Tu
Let be a topological dynamical system. A pair of points is called Banach proximal if for any , the set has Banach…
Shadowing property, weak mixing and regular recurrence
Jian Li, Piotr Oprocha
We show that a non-wandering dynamical system with the shadowing property is either equicontinuous or has positive entropy and that in this context uniformly positive entropy is eq…
Point transitivity, -transitivity and multi-minimality
Zhijing Chen, Jian Li, Jie Lü
Let be a topological dynamical system and be a Furstenberg family (a collection of subsets of with hereditary upward property). A point $x\in X…
On multi-transitivity with respect to a vector
Zhijing Chen, Jian Li, Jie Lü
A topological dynamical system is said to be multi-transitive if for every the system is transitive. We i…
Equivalent conditions of Devaney chaos on the hyperspace
Jian Li
Let be a continuous self-map of a compact metric space . The transformation induces natural a continuous self-map on the hyperspace of all non-empty closed…