Huo-Jun Ruan

collaborators

3 papers

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.FA2016

Energy and Laplacian of Fractal Interpolation Functions

Xiao-Hui Li, Huo-Jun Ruan

In this paper, we first characterize the finiteness of fractal interpolation functions (FIFs) on post critical finite self-similar sets. Then we study the Laplacian of FIFs with un…