6 papers
Spectrality of a class of infinite convolutions on
Sha Wu, Yingqing Xiao
Given an integer . Let be a symbolic space, and let $\{(b_{k},D_{k})\}_{k=1}^{m}:=\{(b_{k}, \{0,1,\cdots, p_{k}-1\}t_{k}) \}_{k=1}…
Three strongly hyperbolic metrics on ptolemy spaces
Yingqing Xiao, Zhanqi Zhang
Recently, strongly hyperbolic space as certain analytic enhancements of Gromov hyperbolic space was introduced by B. Nica and J. Spakula. In this note, we prove that the log-metric…
On the quasisymmetric minimality of homogeneous perfect sets
Yingqing Xiao, Zhanqi Zhang
Z. Wen and J. Wu introduced the notion of homogeneous perfect sets as a generalization of Cantor type sets and determined their exact Hausdorff dimension based on the length of the…
Singular perturbations with multiple poles of the simple polynomials
Yingqing Xiao, Fei Yang
In this article, we study the dynamics of the following family of rational maps with one parameter: \begin{equation*} f_λ(z)= z^n+\frac{λ^2}{z^n-λ}, \end{equation*} where …
On the Hyperbolizing metric spaces
Xin Luo, Yingqing Xiao, Yueping Jiang
In this paper, we prove that the metric space defined by Z.Ibragimov is asymptotically if the metric space is , where is a nonemp…
Quasisymmetrically minimal homogeneous perfect sets
Yingqing Xiao
In \cite{ZW}, the notion of homogenous perfect set as a generalization of Cantor type sets is introduced. Their Hausdorff, lower box-counting, upper box-counting and packing dimens…