D. Kong

activity

20112022

most citedHausdorff dimension of unique beta expansions

46 citations · 180 across the 37 of their papers we have counts for

collaborators

Showing 2021 · math.DSShow all

3 papers · 2 filters

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

Critical values for the $β$ -transformation with a hole at $0$

Pieter Allaart, Derong Kong

Given $β \in (1, 2]$ , let $T_{β}$ be the $β$ -transformation on the unit circle $[0, 1)$ such that $T_{β} (x) = β x (mod 1)$ . For each $t \in [0, 1)$ let $K_{β} (t)$ be the survivor set consisting of…

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…

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

Critical values for the β-transformation with a hole at 0

How likely can a point be in different Cantor sets

Critical values for the $β$ -transformation with a hole at $0$