26 citations · 32 across the 5 of their papers we have counts for
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math.MG2019
On the Separation Structure of Lalley-Gatzouras Fractals
Li-Feng Xi, Jun Jie Miao, Ying Xiong
We obtain a necessary and sufficient condition for Lalley-Gatzouras sets to be uniform disconnected. This enable us to find all Lalley-Gatzouras sets which are quasisymmetrically e…
math.MG2013★ 26 cited
Lipschitz Equivalence Class, Ideal Class and the Gauss Class Number Problem
Li-Feng Xi, Ying Xiong
In this paper, we study the question of classifying self-similar sets under bi-Lipschitz mappings and obtain an important bi-Lipschitz invariant, which is an ideal of a ring relate…
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…