26 citations · 44 across the 9 of their papers we have counts for
Showing math.MGShow all
3 papers · 1 filter
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★ 2 cited
Rigidity Theorem of Graph-directed Fractals
Li-Feng Xi, Ying Xiong
In this paper, we identify two fractals if and only if they are biLipschitz equivalent. Fix ratio for dust-like graph-directed sets with ratio and integer characteristics,…
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…