62 citations · 139 across the 24 of their papers we have counts for
5 papers · 1 filter
A Core Decomposition of Compact Sets in the Plane
Benoit Loridant, Jun Luo, Yi Yang
A Peano continuum means a locally connected continuum. A compact metric space is called a \emph{Peano compactum} if all its components are Peano continua and if for any constant $C…
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…
Fibers and local connectedness of planar continua
Benoît Loridant, Jun Luo
We describe non-locally connected planar continua via the concepts of fiber and numerical scale. Given a continuum and , we show that the set o…
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…
Topological properties of self-similar fractals with one parameter
Jun Jason Luo, Lian Wang
In this paper, we study two classes of planar self-similar fractals with a shifting parameter . The first one is a class of self-similar tiles by shift…