100 citations · 102 across the 9 of their papers we have counts for
12 papers · 1 filter
Typical periodic optimization for dynamical systems: symbolic dynamics
Wen Huang, Oliver Jenkinson, Leiye Xu +1
We develop a new theory of maximizing sets in dynamical systems, for the study of ergodic optimization in systems with weak hyperbolicity but where the Mañé cohomology lemma does n…
Almost Countable Spectrum and Logarithmic Sarnak Conjecture
Wen Huang, Maoru Tan, Leiye Xu
In this paper, we introduce topological dynamical systems with almost countable spectrum. We prove that the Logarithmic Sarnak Conjecture holds for zero-entropy topological dynamic…
Ergodic measures in minimal group actions with finite topological sequence entropy
Chunlin Liu, Xiangtong Wang, Leiye Xu
Let be an infinite discrete countable group and be a minimal -system. In this paper, we prove the supremum of topological sequence entropy of is not less tha…
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…