6 citations · 24 across the 11 of their papers we have counts for
11 papers
Classifying Slice-Regular Polynomials via Group Actions on the Twistor Space
Chunlin Liu, Giovanni Moreno, Haipan Shi
We study the equivalence classes of slice-regular functions on a symmetric slice domain , and of their subclass made of polynomial slice-regular functions, wi…
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…
The irregular set for maps with almost weak specification property has full metric mean dimension
Chunlin Liu, Xue Liu
Let be a compact metric space, be a continuous transformation with the almost weak specification property and be a continuous function.…
Sequence entropy for amenable group actions
Chunlin Liu, Kesong Yan
We study the sequence entropy for amenable group actions and investigate systematically spectrum and several mixing concepts via sequence entropy both in measure-theoretic dynamica…
Mean Li-Yorke chaos along any infinite sequence for infinite-dimensional random dynamical systems
Chunlin Liu, Feng Tan, Jianhua Zhang
In this paper, we study the mean Li-Yorke chaotic phenomenon along any infinite positive integer sequence for infinite-dimensional random dynamical systems. To be precise, we prove…
Directional Pinsker algebra and its applications
Chunlin Liu, Leiye Xu
In this paper, we introduce the directional Pinsker algebra, and construct a skew product to study it. As applications, we show that 1. if a -system with positive dir…
Directional dynamics of -actions generated by 1D-CA and the shift map
Hasan Akın, Chunlin Liu
In this short paper, we compute the directional sequence entropy for of -actions generated by cellular automata and the shift map. Meanwhile, we stud…
Pinsker -algebra Character and mean Li-Yorke chaos
Chunlin Liu, Rongzhong Xiao, Leiye Xu
Let be an infinite countable discrete amenable group. For any -action on a compact metric space , it is proved that for any sequence consisting of non-em…
Directional Kronecker algebra for -actions
Chunlin Liu, Leiye Xu
In this paper, directional sequence entropy and directional Kronecker algebra for -systems are introduced. The relation between sequence entropy and directional seque…
Directional weak mixing for -actions
Chunlin Liu
In this paper, we introduce and characterize the concept of directional weak mixing through independence, sequence entropy, the mean ergodic theorem, and other notions. Additionall…
Directional bounded complexity, mean equicontinuity and discrete spectrum for -actions
Chunlin Liu, Leiye Xu
Given , let be a -system, be a direction vector and . We study $…