26 citations · 44 across the 9 of their papers we have counts for
9 papers
A separation property for iterated function systems of similitudes
De-Jun Feng, Huo-Jun Ruan, Ying Xiong
Let be the attractor of an iterated function system on , where , and are orthogonal transformations on $…
Sets of Exact Approximation Order by Complex rational numbers
Yubin He, Ying Xiong
For a nonincreasing function , let be the set of complex numbers that are approximable by complex rational numbers to order but to no better order. In th…
The difference between the Hurwitz continued fraction expansions of a complex number and its rational approximations
Yubin He, Ying Xiong
For regular continued fraction, if a real number and its rational approximation satisfying , then, after deleting the last integer of the partial quotients…
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…
Every component of a fractal square is a Peano continuum
Jun Luo, Hui Rao, Ying Xiong
This paper concerns the local connectedness of components of self-similar sets. Given an equal partition of the unit square into n*n small squares, we may choose arbitrarily two or…
On Assouad dimension and arithmetic progressions in sets defined by digit restrictions
Jinjun Li, Min Wu, Ying Xiong
We show that the set defined by digit restrictions contains arbitrarily long arithmetic progressions if and only if its Assouad dimension is one. Moreover, we show that for any $0\…