62 citations · 139 across the 24 of their papers we have counts for
5 papers · 1 filter
Topological Structure of Fractal Squares
Ka-Sing Lau, Jun Jason Luo, Hui Rao
Given an integer and a digit set , there is a self-similar set satisfying the set equation: $F=(F+{\mathcal…
Moran Sets and Hyperbolic Boundaries
Jun Jason Luo
In the paper, we prove that a Moran set is homeomorphic to the hyperbolic boundary of the representing symbolic space in the sense of Gromov, which generalizes the results of Lau a…
Boundaries of Disk-like Self-affine Tiles
King-Shun Leung, Jun Jason Luo
Let be a disk-like self-affine tile generated by an integral expanding matrix and a consecutive collinear digit set , and let $f(x)=x^{2}…
Connectedness of planar self-affine sets associated with non-consecutive collinear digit sets
King-Shun Leung, Jun Jason Luo
In the paper, we focus on the connectedness of planar self-affine sets generated by an integer expanding matrix with and a collinear digit s…
Lipschitz equivalence of self-similar sets and hyperbolic boundaries
Jun Jason Luo, Ka-Sing Lau
In [9] Kaimanovich introduced the concept of augmented tree on the symbolic space of a self-similar set. It is hyperbolic in the sense of Gromov, and it was shown in [13] that unde…