145 citations · 376 across the 32 of their papers we have counts for
5 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…
Analogues of Auslander-Yorke theorems for multi-sensitivity
Wen Huang, Sergii Kolyada, Guohua Zhang
In this paper we study multi-sensitivity and thick sensitivity for continuous surjective selfmaps on compact metric spaces. We show that multi-sensitivity implies thick sensitivity…
Dynamical compactness and sensitivity
Wen Huang, Danylo Khilko, Sergii Kolyada +1
To link the Auslander point dynamics property with topological transitivity, in this paper we introduce dynamically compact systems as a new concept of a chaotic dynamical system $…
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…
Auslander-Yorke dichotomy theorem, multi-sensitivity and Lyapunov numbers
Wen Huang, Sergii Kolyada, Guohua Zhang
In this paper we study several stronger forms of sensitivity for continuous surjective selfmaps on compact metric spaces and relations between them. The main result of the paper st…