H. Ruan

activity

20082026

most citedLipschitz equivalence of Cantor sets and irreducibility of polynomials

5 citations · 13 across the 15 of their papers we have counts for

collaborators

Showing 2022Show all

4 papers · 1 filter

math.MG2022

Box dimension of generalized affine fractal interpolation functions

Lai Jiang, Huo-Jun Ruan

Let $f$ be a generalized affine fractal interpolation function with vertical scaling function $S$ . In this paper, we study $dim_{B} Γ f$ , the box dimension of the graph of $f$ , under…

math.DS2022

A separation property for iterated function systems of similitudes

De-Jun Feng, Huo-Jun Ruan, Ying Xiong

Let $E$ be the attractor of an iterated function system ${ϕ_{i} (x) = ρ R_{i} x + a_{i}}_{i = 1}^{N}$ on $R^{d}$ , where $0 < ρ < 1$ , $a_{i} \in R^{d}$ and $R_{i}$ are orthogonal transformations on $…

math.GN2022

The connectedness of Sierpiński sponges with rotational and reflectional components and associated graph-directed systems

Huo-Jun Ruan, Jian-Ci Xiao

We provide two methods to characterize the connectedness of all $d$ -dimensional generalized Sierpiński sponges whose corresponding IFSs are allowed to have rotational and reflectio…

math.GN2022★ 1 cited

On the existence of cut points of connected generalized Sierpinski carpets

Huo-Jun Ruan, Yang Wang, Jian-Ci Xiao

In a previous work joint with Dai and Luo, we show that a connected generalized Sierpiński carpet (or shortly a GSC) has cut points if and only if the associated $n$ -th Hata graph…