activity
20192024
most citedHigh pointwise emergence and Katok's conjecture for systems with non-uniform structure

5 citations · 8 across the 8 of their papers we have counts for

collaborators

8 papers

math.DS2024

Group Extensions for Random Shifts of Finite Type

Kexiang Yang, Ercai Chen, Zijie Lin +1

Symbolic dynamical theory plays an important role in the research of amenability with a countable group. Motivated by the deep results of Dougall and Sharp, we study the group exte…

math.DS2022★ 1 cited

Weighted Topological Entropy of Random Dynamical Systems

Kexiang Yang, Ercai Chen, Zijie Lin +1

Let be continuous bundle random dynamical systems over an ergodic compact metric system . Assume that ${\bf a}=(a_{1},a_{2})\in\…

math.DS2021★ 5 cited

High pointwise emergence and Katok's conjecture for systems with non-uniform structure

Yong Ji, Ercai Chen, Zijie Lin

Recently, Kiriki, Nakano and Soma introduced a concept called pointwise emergence as a new quantitative perspective into the study of non-existence of averages for dynamical system…

math.DS2021

Mean Li--Yorke chaos and multifractal analysis on subshifts

Zijie Lin, Ercai Chen, Xiaoyao Zhou

In the present paper, we use the generalized multifractal framework introduced by Olsen to study the Bowen entropy and packing entropy of historic sets with typical weights over ap…

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 , we prove that in some sit…

math.DS2020

Shadowing and mixing on systems of countable group actions

Zijie Lin, Ercai Chen, Xiaoyao Zhou

Let be a dynamical system, where is compact Hausdorff space, and 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 be a shift map. For an interval , let denote the set of pairs for which the density spectrum of the…

math.DS2019★ 1 cited

Bowen entropy of generic point for fixed-point free flows

Yunping Wang, Ercai Chen, Ting Wu +1

Let 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…