100 citations · 100 across the 4 of their papers we have counts for
9 papers
Lyapunov optimizing measures and periodic measures for expanding maps
Wen Huang, Leiye Xu, Dawei Yang
We prove that there exists an open and dense subset in the space of expanding self-maps of the circle such that the Lyapunov minimizing measures…
Weak mean equicontinuity for a countable discrete amenable group action
Leiye Xu, Liqi Zheng
The weak mean equicontinuous properties for a countable discrete amenable group acting continuously on a compact metrizable space are studied. It is shown that the weak mea…
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…
Polynomial mean complexity and Logarithmic Sarnak conjecture
Wen Huang, Leiye Xu, Xiangdong Ye
In this paper, we reduce the logarithmic Sarnak conjecture to the -symbolic systems with polynomial mean complexity. By showing that the logarithmic Sarnak conjecture hold…
Weak Horseshoe with bounded-gap-hitting times
Leiye Xu, Junren Zheng
In this paper, we consider weak horseshoe with bounded-gap-hitting times. For a flow , it is shown that if the time one map has weak horseshoe with bounded-gap-hit…
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…