Yuanyuan Xie

collaborators

3 papers

math.DS2026

Dimensions of orthogonal projections of typical self-affine sets and measures

De-Jun Feng, Yu-Hao Xie

Let $T_{1}, \dots, T_{m}$ be a family of $d \times d$ invertible real matrices with $∥ T_{i} ∥ < 1/2$ for $1 \leq i \leq m$ . For $a = (a_{1}, \dots, a_{m}) \in R^{m d}$ , let $Ï^{\bf a}\…

math.CA2026

On Constructions of full-dimensional absolutely normal sets of uniqueness

Chun-Kit Lai, Yu-Hao Xie

We construct a class of homogeneous Cantor-Moran measures with all contraction ratios being reciprocal of integers, and prove that they are pointwise absolutely normal. Our approac…

math.SP2024

$L^{q}$ -spectrum of graph-directed self-similar measures that have overlaps and are essentially of finite type

Yuanyuan Xie

For self-similar measures with overlaps, closed formulas of the $L^{q}$ -spectrum have been obtained by Ngai and the author for measures that are essentially of finite type in [J. Aus…

Dimensions of orthogonal projections of typical self-affine sets and measures

On Constructions of full-dimensional absolutely normal sets of uniqueness

Lq-spectrum of graph-directed self-similar measures that have overlaps and are essentially of finite type

$L^{q}$ -spectrum of graph-directed self-similar measures that have overlaps and are essentially of finite type