Zijie Lin

most citedHausdorff measure of sets of distributional chaotic pairs for shift maps

1 citations · 1 across the 3 of their papers we have counts for

collaborators

4 papers

math.DS2020

Equilibrium states which are not Gibbs measure on hereditary subshifts

Zijie Lin, Ercai Chen

In this paper, we consider which kind of invariant measure on hereditary subshifts is not Gibbs measure. For the hereditary closure of a subshift $(X, S)$ , we prove that in some sit…

math.DS2020

Shadowing and mixing on systems of countable group actions

Zijie Lin, Ercai Chen, Xiaoyao Zhou

Let $(X, G, Φ)$ be a dynamical system, where $X$ is compact Hausdorff space, and $G$ is a countable discrete group. We investigate shadowing property and mixing between subshifts and…

math.DS2019★ 1 cited

Hausdorff measure of sets of distributional chaotic pairs for shift maps

Dalian Yuan, Ercai Chen, Zijie Lin

Let $σ_{K} : \sum_{K} \to \sum_{K}$ be a shift map. For an interval $[p, q] \subset [0, 1]$ , let $D_{σ_{K}} ([p, q])$ denote the set of pairs for which the density spectrum of the…

math.DS2019

Bowen entropy of generic point for fixed-point free flows

Yunping Wang, Ercai Chen, Ting Wu +1

Let $(X, ϕ)$ be a compact metric flow without fixed points. We will be concerned with the entropy of flows which takes into consideration all possible reparametrizations of the flo…