Wan-Rou Wu

activity

20172024

most citedOn the growth rate of periodic orbits for vector fields

1 citations · 1 across the 7 of their papers we have counts for

collaborators

7 papers

math.NT2024

Multifractal analysis of the growth rate of digits in Schneider's $p$ -adic continued fraction dynamical system

Kunkun Song, Wanlou Wu, Yueli Yu +1

Let $Z_{p}$ be the ring of $p$ -adic integers and $a_{n} (x)$ be the $n$ -th digit of Schneider's $p$ -adic continued fraction of $x \in p Z_{p}$ . We study the growth rate of…

math.DS2024

On shrinking targets for linear expanding and hyperbolic toral endomorphisms

Zhang-nan Hu, Tomas Persson, Wanlou Wu +1

Let $A$ be an invertible $d \times d$ matrix with integer elements. Then $A$ determines a self-map $T$ of the $d$ -dimensional torus $T^{d} = R^{d} / Z^{d}$ . Given a…

math.DS2020

Uniform Diophantine approximation related to beta-transformations

Wanlou Wu

For any $β > 1$ , let $T_{β}$ be the classical $β$ -transformations. Fix $x_{0} \in [0, 1]$ and a nonnegative real number $v^$ , we compute the Hausdorff dimension of the set of real numb…

math.DS2019

Dimension theory of Diophantine approximation related to $β$ -transformations

Wanlou Wu, Lixuan Zheng

Let $T_{β}$ be the $β$ -transformation on $[0, 1)$ defined by $T_{β} (x) = β x mod 1.$ We study the Diophantine approximation of the orbit of a point $x$ under $T_{β}$ . Precisely, for…

math.DS2018

Approximation property on entropies for surface diffeomorphisms

Wanlou Wu, Jiansong Liu

In this paper, we prove that for any $C^{1}$ surface diffeomorphism $f$ with positive topological entropy, there exists a diffeomorphism $g$ arbitrarily close (in the $C^{1}$ topology)…

math.DS2017

On the F-expanding of Homoclinic class

Wanlou Wu, Bo Li

We establish a closing property for thin trapped homoclinic classes. Taking advantage of this property, we proved that if the homoclinic class $H (p)$ admits a dominated splitting $…