5 citations · 8 across the 5 of their papers we have counts for
5 papers
Maximal pattern complexity and structure of null systems
Jie Li, Kangbo Ouyang
A compact metrizable system is null if its topological sequence entropy vanishes along every sequence of times. We prove that nullness is equivalent to polynomial maximal pattern c…
Sequence entropy tuples and mean sensitive tuples
Jie Li, Chunlin Liu, Siming Tu +1
Using the idea of local entropy theory, we characterize the sequence entropy tuple via mean forms of the sensitive tuple in both topological and measure-theoretical senses. For the…
When is a dynamical system mean sensitive?
Felipe García-Ramos, Jie Li, Ruifeng Zhang
This article is devoted to study which conditions imply that a topological dynamical system is mean sensitive and which do not. Among other things we show that every uniquely ergod…
When all closed subsets are recurrent?
Jie Li, Piotr Oprocha, Xiangdong Ye +1
In the paper we study relations of rigidity, equicontinuity and pointwise recurrence between a t.d.s. and the t.d.s. induced on the hyperspace of all co…
Recurrence properties and disjointness on the induced spaces
Jie Li, Kesong Yan, Xiangdong Ye
A topological dynamical system induces two natural systems, one is on the hyperspace and the other one is on the probability space. The connection among some dynamical properties o…