Xiaomin Ren

collaborators

3 papers

math.DS2019

Arithmetic on self-similar sets

Bing Zhao, Xiaomin Ren, Jiali Zhu +1

Let $K_{1}$ and $K_{2}$ be two one-dimensional homogeneous self-similar sets. Let $f$ be a continuous function defined on an open set $U \subset R^{2}$ . Denote the continuous i…

math.DS2019

Arithmetic on Moran sets

Xiaomin Ren, Li Tian, Jiali Zhu +1

Let $(M, c_{k}, n_{k})$ be a class of Moran sets. We assume that the convex hull of any $E \in (M, c_{k}, n_{k})$ is $[0, 1]$ . Let $A, B$ be two non-empty sets in $\mathbb{R…

math.DS2018

Multiple representations of real numbers on self-similar sets with overlaps

Xiaomin Ren, Jiali Zhu, Li Tian +1

Let $K$ be the attractor of the following IFS ${f_{1} (x) = λ x, f_{2} (x) = λ x + c - λ, f_{3} (x) = λ x + 1 - λ},$ where $f_{1} (I) \cap f_{2} (I) \neq = \emptyset, (f_{1} (I) \cup f_{2} (I)) \cap f_{3} (I) = \emptyset,$ …