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

Xiaohui Fu, Junjie Shi, Chen Tian

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