4 citations · 11 across the 7 of their papers we have counts for
7 papers
Abundance of Smale's horseshoes and ergodic measures via multifractal analysis and various quantitative spectrums
Yiwei Dong, Xiaobo Hou, Xueting Tian
In this article, we combine the perspectives of density, entropy, and multifractal analysis to investigate the structure of ergodic measures. We prove that for each transitive topo…
Different Statistical Future of Dynamical Orbits over Expanding or Hyperbolic Systems (II): Nonempty Syndetic Center
Yiwei Dong, Xueting Tian
In [30] different statistical behavior of dynamical orbits without syndetic center are considered. In present paper we continue this project and consider different statistical beha…
Different Statistical Behaviors of Orbits
Yiwei Dong, Xiaobo Hou, Wanshan Lin +1
In this paper, we will study the statistical behaviors of orbits. Firstly, we will show that for a dynamical systems have the shadowing property or almost specification property, t…
Multifractal Analysis of The New Level Sets
Yiwei Dong, Xueting Tian
By an appropriate definition, we divide the irregular set into level sets. Then we characterize the multifractal spectrum of these new pieces by calculating their entropies. We als…
On the irregular points for systems with the shadowing property
Yiwei Dong, Piotr Oprocha, Xueting Tian
We prove that when is a continuous selfmap acting on compact metric space which satisfies the shadowing property, then the set of irregular points (i.e. points with div…
Systems with Almost Specification Property May Have Zero Entropy
Yiwei Dong
It is shown that there exist systems having almost specification property and zero entropy. Since Sigmund has shown that systems with specification property must have positive entr…
Ergodic properties of invariant measures for systems with average shadowing property
Yiwei Dong, Xueting Tian, Xiaoping Yuan
In this paper, we explore a topological system with average shadowing property. We extend Sigmund's results and show that every non-empty, compact and connected…