16 citations · 39 across the 7 of their papers we have counts for
7 papers
Weak Convergence and Spectrality of Infinite Convolutions
Wenxia Li, Jun Jie Miao, Zhiqiang Wang
Let be a sequence of finite subsets of satisfying that for all integers . In this paper, we first give a sufficient a…
Spectrality of random convolutions generated by finitely many Hadamard triples
Wenxia Li, Jun Jie Miao, Zhiqiang Wang
Let be finitely many Hadamard triples in . Given a sequence of positive integers and $ω=(ω_k)_{k=1}^\infty \…
Gap sequences and Topological properties of Bedford-McMullen sets
Zhen Liang, Jun Jie Miao, Huo-Jun Ruan
In this paper, we study the topological properties and the gap sequences of Bedford-McMullen sets. First, we introduce a topological condition, the component separation condition (…
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.