Chen Tian

collaborators

2 papers

math.DS2025

Uniform Diophantine approximation on the plane for $β$ -dynamical systems

Xiaohui Fu, Junjie Shi, Chen Tian

In this paper, we investigate the two-dimensional uniform Diophantine approximation in $β$ -dynamical systems. Let $β_{i} > 1 (i = 1, 2)$ be real numbers, and let $T_{β_{i}}$ denote the $β_…

math.NT2025

Metric results of the intersection of sets in Diophantine approximation

Chen Tian, Liuqing Peng

Let $ψ : R_{> 0} \to R_{> 0}$ be a non-increasing function. Denote by $W (ψ)$ the set of $ψ$ -well-approximable points and by $E (ψ)$ the set of points $x\in[0,1…

Uniform Diophantine approximation on the plane for β-dynamical systems

Metric results of the intersection of sets in Diophantine approximation

Uniform Diophantine approximation on the plane for $β$ -dynamical systems