100 citations · 102 across the 4 of their papers we have counts for
5 papers
Mean Li-Yorke chaos along polynomials of several variables and prime numbers
Kairan Liu
In this paper, for any given polynomial, by analyzing the limiting behavior of ergodic averages along polynomials of several variables and prime numbers, we prove that for a topolo…
Time-restricted sensitivity and entropy
Kairan Liu, Leiye Xu, Ruifeng Zhang
In this paper, we consider measure-theoretical restricted sensitivity and topological restricted sensitivities by restricting the first sensitive time. For a given topological dyna…
Topological entropy of nonautonomous dynamical systems
Kairan Liu, Yixiao Qiao, Leiye Xu
Let be the space of Borel probability measures on a compact metric space endowed with the weak-topology. In this paper, we prove that if the topological…
-Weakly Mixing Subset In Positive Entropy Actions Of A Nilpotent Group
Kairan Liu
The notion of -weakly mixing subsets is introduced for countable torsion-free discrete group actions. It is shown that for a finitely generated torsion-free discrete nilpotent g…
Auslander-Yorkes type dichotomy theorems for stronger version r-sensitivity
Kairan Liu, Xiaomin Zhou
In this paper, for r in N with r>=2 we consider several stronger version r-sensitivities and measure-theoretical r-sensitivities by analysing subsets of nonnegative integers, for w…