1 citations · 1 across the 4 of their papers we have counts for
4 papers
A Survey on the Topology of Fractal Squares
Jun Luo, Hui Rao
We consider a special type of self-similar sets, called fractal squares, and give a brief review on recent results and unsolved issues with an emphasis on their topological propert…
Lattice subsequences of fixed points of Toeplitz substitutions
Shishuang Liu, Hui Rao
We define the modulo- Toeplitz fixed point generated by Toeplitz substitution and study the lattice subsequence of such fixed point. Moreover, we provide a method to check wheth…
Characterization of self-affine tile digit sets on
Qian Li, Hui Rao
Let be an expanding matrix with integral entries. A fundamental question in the fractal tiling theory is to understand the structure of the digit set $\mathcal{D}\s…
Space-filling curves of self-similar sets (II): Edge-to-trail substitution rule
Xi-rong Dai, Hui Rao, Shu-qin Zhang
It is well-known that the constructions of space-filling curves depend on certain substitution rules. For a given self-similar set, finding such rules is somehow mysterious, and it…