Jiangwen Gu

activity

20182020

λ

-Cantor sets

5 citations · 5 across the 2 of their papers we have counts for

collaborators

3 papers

math.MG2020

On continuous images of self-similar sets

Yuanyuan Li, Jiaqi Fan, Jiangwen Gu +2

Let $(M, c_{k}, n_{k}, κ)$ be a class of homogeneous Moran sets. Suppose $f (x, y) \in C^{3}$ is a function defined on $R^{2}$ . Given $E_{1}, E_{2} \in (M, c_{k}, n_{k}, κ)$ …

math.DS2019★ 5 cited

Multiplication on uniform $λ$ -Cantor sets

Jiangwen Gu, Kan Jiang, Lifeng Xi +1

Let $C$ be the middle-third Cantor set. Define $C * C = {x * y : x, y \in C}$ , where $* = +, -, \cdot, \div$ (when $* = \div$ , we assume $y \neq = 0$ ). Steinhaus \cite{HS} proved in 1917 that \[ C-C=[-1,1]…

math.DS2018

Multiplication on self-similar sets with overlaps

Li Tian, Jiangwen Gu, Qianqian Ye +2

Let $A, B \subset R$ . Define $A \cdot B = {x \cdot y : x \in A, y \in B} .$ In this paper, we consider the following class of self-similar sets with overlaps. Let $K$ be the attra…

On continuous images of self-similar sets

Multiplication on uniform λ-Cantor sets

Multiplication on self-similar sets with overlaps

Multiplication on uniform $λ$ -Cantor sets