115 citations · 475 across the 48 of their papers we have counts for
6 papers · 1 filter
Sequences from zero entropy noncommutative toral automorphisms and Sarnak Conjecture
Wen Huang, Zhengxing Lian, Song Shao +1
In this paper we study -algebra version of Sarnak Conjecture for noncommutative toral automorphisms. Let be a noncommutative torus and be the noncommutative toral…
A cubic nonconventional ergodic average with Möbius and Liouville weight
El Houcein El Abdalaoui, Xiangdong Ye
It is shown that the cubic nonconventional ergodic average of order 2 with Möbius and Liouville weight converge almost surely to zero. As a consequence, we obtain that the Cesàro m…
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…
Positive topological entropy and -weakly mixing sets
Wen Huang, Jian Li, Xiangdong Ye +1
The notion of -weakly mixing set is introduced, which shares similar properties of weakly mixing sets. It is shown that if a dynamical system has positive topological entropy, t…
Recent development of chaos theory in topological dynamics
Jian Li, Xiangdong Ye
We give a summary on the recent development of chaos theory in topological dynamics, focusing on Li-Yorke chaos, Devaney chaos, distributional chaos, positive topological entropy,…
Multi-recurrence and van der Waerden systems
Dominik Kwietniak, Jian Li, Piotr Oprocha +1
We explore recurrence properties arising from dynamical approach to combinatorial problems like the van der Waerden Theorem. We describe relations between these properties, study t…