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math.MG2019
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…
math.MG2013
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…
math.MG2012★ 1 cited
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…