Kan Jiang

activity

20142022

most citedMultiple expansions of real numbers with digits set

{0, 1, q}

7 citations · 55 across the 25 of their papers we have counts for

collaborators

Showing 2020Show all

4 papers · 1 filter

math.NT2020

Irrational self-similar sets

Qi Jia, Yuanyuan Li, Kan Jiang

Let $K \subset R$ be a self-similar set defined on $R$ . It is easy to prove that if the Lebesgue measure of $K$ is zero, then for Lebesgue almost every $t$ , $$K+t=\…

math.DS2020

A nonlinear version of the Newhouse thickness theorem

Kan Jiang

Let $C_{1}$ and $C_{2}$ be two Cantor sets with convex hull $[0, 1]$ . Newhouse proved if $τ (C_{1}) \cdot τ (C_{2}) \geq 1$ , then the arithmetic sum $C_{1} + C_{2}$ is an interval, where $τ(C_i), 1\l…

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.DS2020★ 3 cited

On the sum of squares of middle-third Cantor set

Zhiqiang Wang, Kan Jiang, Wenxia Li +1

Let $C$ be the middle-third Cantor set. In this paper, we show that for every $x \in [0, 4]$ , there exist $x_{1}, x_{2}, x_{3}, x_{4} \in C$ such that $x = x_{1}^{2} + x_{2}^{2} + x_{3}^{2} + x_{4}^{2},$ which a…