Qi Wang

collaborators

3 papers

math.CO2026

Covering the ternary cube by binary subcubes

Peiru Kuang, Yan Wang

For an integer $n \geq 0$ , let $f (n)$ be the minimum number of subcubes of $Z_{3}^{n}$ of the form $A_{1} \times \dots \times A_{n}$ , where $∣ A_{i} ∣ = 2$ for every $i$ , whose union covers…

math.CA2024

The Hausdorff measure and uniform fibre conditions for BaraÅski carpet

Hua Qiu, Qi Wang

For a self-affine carpet $K$ of BaraÅski, we establish a dichotomy: $ \text{either }\quad 0<\mathcal{H}^{\dim_{\text{H}} K}(K)<+\infty \quad\text{ or } \quad\mathcal{H}^{\dim_{\te…

math.CA2024

Assouad and lower dimensions of graph-directed Bedford-McMullen carpets

Hua Qiu, Qi Wang, Shufang Wang

We calculate the Assouad and lower dimensions of graph-directed Bedford-McMullen carpets, which reflect the extreme local scaling laws of the sets, in contrasting with known result…

Covering the ternary cube by binary subcubes

The Hausdorff measure and uniform fibre conditions for BaraÅski carpet

Assouad and lower dimensions of graph-directed Bedford-McMullen carpets

The Hausdorff measure and uniform fibre conditions for BaraÅski carpet