Xiaoyao Zhou

activity

20122026

most citedMultifractal analysis for historic set in topological dynamical systems

31 citations · 95 across the 35 of their papers we have counts for

collaborators

Showing 2023Show all

4 papers · 1 filter

math.OC2023

Bowen's equations for invariance pressure of control systems

Rui Yang, Ercai Chen, Jiao Yang +1

We aim to establish Bowen's equations for upper capacity invariance pressure and Pesin-Pitskel invariance pressure of discrete-time control systems. We first introduce a new invari…

math.DS2023

Non-dense orbit sets carry full metric mean dimension

Jiao Yang, Ercai Chen, Xiaoyao Zhou

Let $(X, d)$ be a compact metric space, $f : X \to X$ be a continuous transformation with the specification property. we consider non-dense orbit set $E (z_{0})$ and show that for…

math.DS2023

Upper metric mean dimensions with potential of $ε$ -stable sets

Rui Yang, Ercai Chen, Xiaoyao Zhou

It is well-known that $ε$ -stable sets have a deep connection with the topological entropy of dynamical systems. In the present paper, we investigate the relationships of three type…

math.DS2023★ 1 cited

Variational principle for neutralized Bowen topological entropy

Rui Yang, Ercai Chen, Xiaoyao Zhou

Ovadia and Rodriguez-Hertz defined neutralized Bowen open ball as $B_{n} (x, e^{- n ε}) = {y \in X : d (T^{j} x, T^{j} y) < e^{- n ε}, \forall0 \leq j \leq n - 1} .$ We introduce the notion of neutrali…

Bowen's equations for invariance pressure of control systems

Non-dense orbit sets carry full metric mean dimension

Upper metric mean dimensions with potential of ε-stable sets

Variational principle for neutralized Bowen topological entropy

Upper metric mean dimensions with potential of $ε$ -stable sets