Hua Qiu

activity

20232026

collaborators

5 papers

math.CA2026

Critical Hausdorff Measure for Higher-Dimensional Bedford-McMullen Subshifts

Hua Qiu, Qi Wang

Let $Λ = diag (m_{1}, \dots, m_{d})$ be a diagonal expanding integer matrix with $m_{1} \geq \dots \geq m_{d} \geq 2$ and at least two distinct diagonal entries, and let $X\subset\math…

math.CA2026

Conformal Dimension of Measures and Quasisymmetric Dimension Reduction

Hua Qiu, Qi Wang

We prove that the conformal dimension of every locally finite Borel measure is either zero or infinite. The main ingredient is a quasisymmetric dimension-reduction theorem: every f…

math.CA2024

The Hausdorff measure and uniform fibre conditions for Barański carpet

Hua Qiu, Qi Wang

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

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…

math.CA2023

$L^{q}$ -spectra of box-like graph-directed self-affine measures: closed forms, with rotation

Hua Qiu, Qi Wang

We consider $L^{q}$ -spectra of planar graph-directed self-affine measures generated by diagonal or anti-diagonal matrices. Assuming the directed graph is strongly connected and the s…

Critical Hausdorff Measure for Higher-Dimensional Bedford-McMullen Subshifts

Conformal Dimension of Measures and Quasisymmetric Dimension Reduction

The Hausdorff measure and uniform fibre conditions for Barański carpet

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

Lq-spectra of box-like graph-directed self-affine measures: closed forms, with rotation

$L^{q}$ -spectra of box-like graph-directed self-affine measures: closed forms, with rotation