Xiaoyao Zhou

collaborators

3 papers

math.DS2025

Metric mean dimension and the variational principle for actions of amenable groups

Rui Yang, Xiaoyao Zhou

Metric mean dimension is a dynamical counterpart of the box dimension in fractal geometry to characterize the topological complexity of infinite entropy systems. The classical vari…

math.DS2025

$I^\pm$ -BS dimension on subsets

Zhumin Ding, Rui Yang, Xiaoyao Zhou

We aim to investigate the dimension theory of $I^\pm$ -pressure-like quantities. By means of the Carath $e ˊ$ odory-Pesin structure, we define $I^\pm$ -BS dimension and $I^\pm$ -Pesin…

math.DS2024

Non-dense orbits on topological dynamical systems

Cao Zhao, Jiao Yang, Xiaoyao Zhou

Let $(X, d, T)$ be a topological dynamical system with the specification property. We consider the non-dense orbit set $E (z_{0})$ and show that for any non-transitive point $z_{0} \in X$ …

Metric mean dimension and the variational principle for actions of amenable groups

I^±-BS dimension on subsets

Non-dense orbits on topological dynamical systems

$I^\pm$ -BS dimension on subsets