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

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Showing 2024Show all

2 papers · 1 filter

math.DS2024★ 1 cited

The $β$ -transformation with a hole at $0$ : the general case

Pieter Allaart, Derong Kong

Given $β > 1$ , let $T_{β}$ be the $β$ -transformation on the unit circle $[0, 1)$ , defined by $T_{β} (x) = β x - ⌊ β x ⌋$ . For each $t \in [0, 1)$ let $K_{β} (t)$ be the survivor set consist…

math.DS2024★ 1 cited

On the strong separation condition for self-similar iterated function systems with random translations

Simon Baker, Derong Kong, Zhiqiang Wang

Given a self-similar iterated function system $Φ = {ϕ_{i} (x) = ρ_{i} O_{i} x + t_{i}}_{i = 1}^{m}$ acting on $R^{d}$ , we can generate a parameterised family of iterated function systems b…

The β-transformation with a hole at 0: the general case

On the strong separation condition for self-similar iterated function systems with random translations

The $β$ -transformation with a hole at $0$ : the general case