62 citations · 139 across the 24 of their papers we have counts for
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math.GT2017
On the Lipschitz equivalence of self-affine sets
Jun Jason Luo
Let be an expanding matrix with integer entries and be a finite digit set. Then the pair defines a unique in…
math.GT2017★ 5 cited
Lipschitz equivalence of Cantor sets and irreducibility of polynomials
Jun Jason Luo, Huo-Jun Ruan, Yi-Ling Wang
In the paper, we provide an effective method for the Lipschitz equivalence of two-branch Cantor sets and three-branch Cantor sets by studying the irreducibility of polynomials. We…
math.GT2016
Self-similar sets, simple augmented trees, and their Lipschitz equivalence
Jun Jason Luo
Given an iterated function system (IFS) of contractive similitudes, the theory of Gromov hyperbolic graph on the IFS has been established recently. In the paper, we introduce a not…