Derong Kong

activity

20192023

collaborators

3 papers

math.DS2023

On the union of homogeneous symmetric Cantor set with its translations

Derong Kong, Wenxia Li, Zhiqiang Wang +2

Fix a positive integer $N$ and a real number $0 < β < 1/ (N + 1)$ . Let $Γ$ be the homogeneous symmetric Cantor set generated by the IFS $$ \Big\{ ϕ_i(x)=βx + i \frac{1-β}{N}: i=0,1,\cdo…

math.DS2022

Univoque bases of real numbers: simply normal bases, irregular bases and multiple rationals

Yu Hu, Yan Huang, Derong Kong

Given a positive integer $M$ and a real number $x \in (0, 1]$ , we call $q \in (1, M + 1]$ a univoque simply normal base of $x$ if there exists a unique simply normal sequence $(d_i)\in\{0,…

math.DS2019

Two bifurcation sets arising from the beta transformation with a hole at $0$

Simon Baker, Derong Kong

Given $β \in (1, 2],$ the $β$ -transformation $T_{β} : x \mapsto β x (mod 1)$ on the circle $[0, 1)$ with a hole $[0, t)$ was investigated by Kalle et al.~(2019). They described the set-valu…

On the union of homogeneous symmetric Cantor set with its translations

Univoque bases of real numbers: simply normal bases, irregular bases and multiple rationals

Two bifurcation sets arising from the beta transformation with a hole at 0

Two bifurcation sets arising from the beta transformation with a hole at $0$