Kairan Liu

activity

20192025

most citedTopological entropy of nonautonomous dynamical systems

100 citations · 105 across the 9 of their papers we have counts for

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3 papers · 1 filter

math.DS2019★ 100 cited

Topological entropy of nonautonomous dynamical systems

Kairan Liu, Yixiao Qiao, Leiye Xu

Let $M (X)$ be the space of Borel probability measures on a compact metric space $X$ endowed with the weak $^{*}$ -topology. In this paper, we prove that if the topological…

math.DS2019

$Δ$ -Weakly Mixing Subset In Positive Entropy Actions Of A Nilpotent Group

Kairan Liu

The notion of $Δ$ -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…

math.DS2019★ 2 cited

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…

Topological entropy of nonautonomous dynamical systems

Δ-Weakly Mixing Subset In Positive Entropy Actions Of A Nilpotent Group

Auslander-Yorkes type dichotomy theorems for stronger version r-sensitivity

$Δ$ -Weakly Mixing Subset In Positive Entropy Actions Of A Nilpotent Group