Derong Kong

activity

20182026

most citedThe

β

-transformation with a hole at

0

: the general case

1 citations · 2 across the 8 of their papers we have counts for

collaborators

Showing 2023Show all

3 papers · 1 filter

math.CA2023

Fractal Sumset Properties

Derong Kong, Zhiqiang Wang

In this paper we introduce two notions of fractal sumset properties. A compact set $K \subset R^{d}$ is said to have the Hausdorff sumset property (HSP) if for any $\ell\in\ma…

math.DS2023

Entropy plateaus, transitivity and bifurcation sets for the $β$ -transformation with a hole at $0$

Pieter Allaart, Derong Kong

Given $β > 1$ , 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 all $x…

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…

Fractal Sumset Properties

Entropy plateaus, transitivity and bifurcation sets for the β-transformation with a hole at 0

On the union of homogeneous symmetric Cantor set with its translations

Entropy plateaus, transitivity and bifurcation sets for the $β$ -transformation with a hole at $0$