26 citations · 57 across the 16 of their papers we have counts for
4 papers · 1 filter
Uniform disconnectedness and Quasi-Assouad Dimension
Fan Lü, Li-Feng Xi
The uniform disconnectedness is an important invariant property under bi-Lipschitz mapping, and the Assouad dimension implies the uniform disconnectedness of . Ac…
Algorithms to test open set condition for self-similar set related to P.V. numbers
hao Li, qiu-li Guo, qin Wang +1
Fix a P.V. number Given , $\mathbf{b}=(b_{1},\cdots,b_{m})\in \mathbb{Q^{m}$, for the self-similar set $E_{\mathbf{p}…
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.
Bilipschitz embedding of homogeneous fractals
Fan Lü, Man-Li Lou, Zhi-Ying Wen +1
In this paper, we introduce a class of fractals named homogeneous sets based on some measure versions of homogeneity, uniform perfectness and doubling. This fractal class includes…