3 citations · 4 across the 12 of their papers we have counts for
12 papers
Realizing prescribed entropy functions by smooth diffeomorphisms of closed manifolds of dimension at least three
Wanshan Lin, Xueting Tian
Let be a closed smooth manifold of dimension . Given a compact metrizable Choquet simplex and a bounded nonnegative affine upper semicontinuous function $\…
Conditional entropy realization and approximation by uniquely ergodic measures
Xiaobo Hou, Wanshan Lin, Xueting Tian +2
This paper studies conditional entropy realization and weak* approximation by uniquely ergodic measures with compact support. We prove that, after fixing an admissible potential av…
Complete realization of multifractal entropy spectra and pressure functions
Xiaobo Hou, Wanshan Lin, Xueting Tian
We give a complete characterization of the multifractal entropy spectra arising from continuous vector-valued potentials on transitive two-sided shifts of finite type. We prove tha…
Bohr chaoticity, semi-horseshoes and full-entropy abundance
Xiaobo Hou, Wanshan Lin, Xueting Tian
Bohr chaoticity is a topological notion of dynamical complexity defined through non-orthogonality to all non-trivial weights. It is strictly stronger than positivity of topological…
On the loss of upper semi-continuity of metric entropy for diffeomorphisms
Xinyu Bai, Wanshan Lin, Xueting Tian
In this article, we give an upper bound estimate for the quantitative loss of upper semicontinuity of metric entropy for diffeomorphisms. Building on earlier entropy e…
Variations of topological theory and ergodic theory via gap function in non-uniform specification
Wanshan Lin, Xueting Tian, Chenwei Yu
In our previous work [43], we studied qualitative differences between specification and nonuniform specification. In this paper, we investigate quantitative variations depending on…
Non-uniform Cocycles for Some Uniquely Ergodic Minimal Dynamical Systems on Connected Spaces
Wanshan Lin, Xueting Tian
In this paper, we pay attention to a weaker version of Walters's question on the existence of non-uniform cocycles for uniquely ergodic minimal dynamical systems on non-degenerate…
Strongly distributional chaos in the sets of twelve different types of non-recurrent points
An Chen, Xiaobo Hou, Wanshan Lin +1
In present paper we mainly focus on non-recurrent dynamical orbits with empty syndetic center and show that twelve different statistical structures over mixing expanding maps or tr…
Ergodic Optimization Restricted On Certain Subsets Of Invariant Measures
Wanshan Lin, Xueting Tian
In this article, we pay attention to transitive dynamical systems having the shadowing property and the entropy functions are upper semicontinuous. As for these dynamical systems,…
Uniqueness Of Ergodic Optimization Of Top Lyapunov Exponent For Typical Matrix Cocycles
Wanshan Lin, Xueting Tian
In this article, we consider the ergodic optimization of the top Lyapunov exponent. We prove that there is a unique maximising measure of top Lyapunov expoent for typical matrix co…
Ergodic Average Of Typical Orbits And Typical Functions
Xiaobo Hou, Wanshan Lin, Xueting Tian
In this article we mainly aim to know what kind of asymptotic behavior of typical orbits can display. For example, we show in any transitive system, the emprical measures of a typi…
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…