Chen Tian

collaborators

3 papers

math.NT2026

Hausdorff measures of sets in Exact Diophantine approximation

Bo Tan, Chen Tian, Baowei Wang +1

Let $(X, d)$ be a compact metric space, and let $Q \subset X$ be countable. Given functions $R : Q \to R^{+}$ and $I ¨ : R^{+} \to R^{+}$ , we consider the set $E(…

math.DS2025

Uniform Diophantine approximation on the plane for $I^^{2}$ -dynamical systems

Xiaohui Fu, Junjie Shi, Chen Tian

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

math.NT2025

Metric results of the intersection of sets in Diophantine approximation

Chen Tian, Liuqing Peng

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

Hausdorff measures of sets in Exact Diophantine approximation

Uniform Diophantine approximation on the plane for I^2-dynamical systems

Metric results of the intersection of sets in Diophantine approximation

Uniform Diophantine approximation on the plane for $I^^{2}$ -dynamical systems