Zhang-nan Hu

collaborators

4 papers

math.NT2025

Dimension theory of inhomogeneous Diophantine approximation with matrix sequences

Zhang-nan Hu, Junjie Huang, Bing Li +1

In this paper, we investigate the Hausdorff dimension of naturally occurring sets of inhomogeneous well-approximable points with a sequence of real invertible matrices $\mathcal{A}…

math.DS2025

On recurrence sets for toral endomorphisms

Zhangnan Hu, Tomas Persson

Let $A$ be a $2 \times 2$ integral matrix with an eigenvalue of modulus strictly less than 1. Let $T$ be the natural endomorphism on the torus $\mathbb{T}^2=\mathbb{R}^2/\mathbb{Z}^…

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.DS2024

Hausdorff dimension of recurrence sets for matrix transformations of tori

Zhangnan Hu, Bing Li

Let $T : T^{d} \to T^{d}$ , defined by $T x = A x (mod 1)$ , where $A$ is a $d \times d$ integer matrix with eigenvalues $1 < ∣ λ_{1} ∣ \leq ∣ λ_{2} ∣ \leq \dots \leq ∣ λ_{d} ∣$ . We investigat…