1 citations · 1 across the 2 of their papers we have counts for
4 papers
Construction and box dimension of recurrent fractal interpolation surfaces
Zhen Liang, Huo-Jun Ruan
In this paper, we present a general framework to construct recurrent fractal interpolation surfaces (RFISs) on rectangular grids. Then we introduce bilinear RFISs, which are easy t…
Metrics on the Sierpinski carpet by weight functions
Qingsong Gu, Hua Qiu, Huo-Jun Ruan
We construct certain metrics on the Sierpinski carpet via a class of self-similar weight functions. Using these metrics and by applying known results, we obtain the two-sided sub-G…
Lipschitz Equivalence of Self-Similar Sets: Algebraic and Geometric Properties
Hui Rao, Huo-Jun Ruan, Yang Wang
In this paper we provide an up-to-date survey on the study of Lipschitz equivalence of self-similar sets. Lipschitz equivalence is an important property in fractal geometry because…
Lipschitz equivalence of self-similar sets with touching structures
Huo-Jun Ruan, Yang Wang, Li-Feng Xi
Lipschitz equivalence of self-similar sets is an important area in the study of fractal geometry. It is known that two dust-like self-similar sets with the same contraction ratios…