Cai-Yun Ma

most citedA note on Hausdorff measures of self-similar sets in

R^{d}

1 citations · 1 across the 2 of their papers we have counts for

collaborators

3 papers

math.DS2026

Separation Conditions for Iterated Function Systems with a Common Attractor

Cai-Yun Ma

Let $K$ be the non-singleton attractor of a finite iterated function system $Φ = {ϕ_{i} (x) = a_{i} O_{i} x + t_{i}}_{i = 1}^{m}$ on $R^{d}$ , where $0 < a_{i} < 1$ , $t_{i} \in R^{d}$ and the $O…

math.DS2022

Dimensions of projected sets and measures on typical self-affine sets

De-Jun Feng, Chiu-Hong Lo, Cai-Yun Ma

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 $π^{\bf a}:\;…

math.CA2022★ 1 cited

A note on Hausdorff measures of self-similar sets in $R^{d}$

Cai-Yun Ma, Yu-Feng Wu

We prove that for all $s \in (0, d)$ and $c \in (0, 1)$ there exists a self-similar set $E \subset R^{d}$ with Hausdorff dimension $s$ such that $H^{s} (E) = c ∣ E ∣^{s}$ . This an…

Separation Conditions for Iterated Function Systems with a Common Attractor

Dimensions of projected sets and measures on typical self-affine sets

A note on Hausdorff measures of self-similar sets in Rd

A note on Hausdorff measures of self-similar sets in $R^{d}$