Xueting Tian

activity

20112022

most citedLyapunov `Non-typical' Points of Matrix Cocycles and Topological Entropy

9 citations · 20 across the 13 of their papers we have counts for

collaborators

Showing 2020Show all

3 papers · 1 filter

math.DS2020

Topological structures on saturated sets, optimal orbits and equilibrium states

Xiaobo Hou, Xueting Tian, Yiwei Zhang

Pfister and Sullivan proved that if a topological dynamical system $(X, T)$ satisfies almost product property and uniform separation property, then for each nonempty compact %convex…

math.DS2020

On the topological entropy of saturated sets for amenable group actions

Xiankun Ren, Xueting Tian, Yunhua zhou

Let $(X, ρ, G)$ be a $G -$ action topological system, where $G$ is a countable infinite discrete amenable group and $X$ a compact metric space. We prove a variational principle for top…

math.DS2020

A $C^{r}$ -connecting lemma for Lorenz attractors and its application on the space of ergodic measures

Yi Shi, Xueting Tian, Xiaodong Wang

For every $r \in N_{\geq 2} \cup {\infty}$ , we prove a $C^{r}$ -connecting lemma for Lorenz attractors. To be precise, for a Lorenz attractor of a $3$ -dimensional $C^{r}$ ($r\geq…

Topological structures on saturated sets, optimal orbits and equilibrium states

On the topological entropy of saturated sets for amenable group actions

A Cr-connecting lemma for Lorenz attractors and its application on the space of ergodic measures

A $C^{r}$ -connecting lemma for Lorenz attractors and its application on the space of ergodic measures