1 citations · 3 across the 3 of their papers we have counts for
3 papers
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 -th Hata graph…
math.GN2021★ 1 cited
Connectedness and local cut points of generalized Sierpinski carpets
Xin-Rong Dai, Jun Luo, Huo-Jun Ruan +2
We investigate a homeomorphism problem on a class of self-similar sets called generalized Sierpinski carpets (or shortly GSCs). It follows from two well-known results by Hata and W…
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…