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 2021Show all

3 papers · 1 filter

math.DS2021

On a class of self-similar sets which contain finitely many common points

Kan Jiang, Derong Kong, Wenxia Li +1

For $λ \in (0, 1/2]$ let $K_{λ} \subset R$ be a self-similar set generated by the iterated function system ${λ x, λ x + 1 - λ}$ . Given $x \in (0, 1/2)$ , let $Λ (x)$ be the set of $λ\in(0…

math.DS2021★ 5 cited

How likely can a point be in different Cantor sets

Kan Jiang, Derong Kong, Wenxia Li

Let $m \in N_{\geq 2}$ , and let $K = {K_{λ} : λ \in (0, 1/ m]}$ be a class of Cantor sets, where $K_{λ} = {\sum_{i = 1}^{\infty} d_{i} λ^{i} : d_{i} \in {0, 1, \dots, m - 1}, i \geq 1}$ . We i…

math.NT2021★ 1 cited

On some fractal sets only containing irrationals

Kan Jiang

In this paper, we prove that many fractal sets generated by the associated dynamical systems only contain irrationals. As an application, we explicitly construct some overlapping s…