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math.DS2026
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…
math.DS2024
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…
math.DS2022
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…