Bi-Xuan Li

Hausdorff dimension for exactly approximable matrices

We establish the Hausdorff dimension for exactly approximable matrices for all dimensions, including the inhomogeneous case. More precisely, let $\psi:\N\to(0,\infty)$ be a non-increasing approximation function and let $\tau_\psi$ denote its lower order. For $m,n\ge1$ and $\boldsymbol\theta\in\mathbb R^m$, denote $\Exa...

Adsorption-conversion synthesis of ultrathin intermetallics and high-entropy alloys.