On the Separation Structure of Lalley-Gatzouras Fractals
- Resource Type
- Working Paper
- Authors
- Xi, Li-Feng; Miao, Jun Jie; Xiong, Ying
- Source
- Subject
- Mathematics - Metric Geometry
- Language
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 equivalent to the Cantor ternary set. As another application, we also study the limit behavior of the gap sequence of Lalley-Gatzouras sets.