On the Separation Structure of Lalley-Gatzouras Fractals
27 Sep 2019
•
Xi Li-Feng
•
Miao Jun Jie
•
Xiong Ying
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.(read more)