16 citations · 39 across the 7 of their papers we have counts for
4 papers · 1 filter
On the Separation Structure of Lalley-Gatzouras Fractals
Li-Feng Xi, Jun Jie Miao, Ying Xiong
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 e…
The Assouad dimension of randomly generated fractals
Jonathan M. Fraser, Jun Jie Miao, Sascha Troscheit
We consider several different models for generating random fractals including random self-similar sets, random self-affine carpets, and fractal percolation. In each setting we comp…
Assouad dimensions of Moran sets and Cantor-like sets
wen-wen Li, wen-xia Li, jun-jie Miao +1
We obtain the Assouad dimensions of Moran sets under suitable condition. Using the homogeneous set, we also study the Assouad dimensions of Cantor-like sets.
Local dimensions of measures on self-affine sets
K. J. Falconer, Jun Jie Miao
We show that, in a generic setting, self-affine and almost self-affine measures are exact dimensional, with local dimension equal almost everywhere to the information dimension and…