3 citations · 8 across the 13 of their papers we have counts for
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math.DS2022★ 1 cited
Conditional intermediate entropy and Birkhoff average properties of hyperbolic flows
Xiaobo Hou, Xueting Tian
Katok conjectured that every diffeomorphism on a Riemannian manifold has the intermediate entropy property, that is, for any constant , there exis…
math.DS2022★ 2 cited
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…
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…