Yiwei Zhang

collaborators

2 papers

math.NT2024

Fractal geometry of continued fractions with large coefficients and dimension drop problems

Lulu Fang, Carlos Gustavo Moreira, Yiwei Zhang

In 1928, Jarn\'ık \cite{Jar} obtained that the set of continued fractions with bounded coefficients has Hausdorff dimension one. Good \cite{Goo} observed a dimension drop phenomeno…

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…