3 papers
math.DS2025
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…
math.DS2024
A -connecting lemma for Lorenz attractors and its application on the space of ergodic measures
Yi Shi, Xueting Tian, Xiaodong Wang
For every , we prove a -connecting lemma for Lorenz attractors. To be precise, for a Lorenz attractor of a -dimensional ($r\geq…
math.DS2024
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…