Derong Kong

collaborators

4 papers

math.DS2026

The $I^^{2}$ -transformation with a hole at $0$ : the general case

Pieter Allaart, Derong Kong

Given $I^^{2} > 1$ , let $T_{I^}^{2}$ be the $I^^{2}$ -transformation on the unit circle $[0, 1)$ , defined by $T_{I^}^{2} (x) = I^^{2} x - ⌊ I^^{2} x ⌋$ . For each $t \in [0, 1)$ let $K_{I^}^{2} (t)$ be the survivor set…

math.DS2025

Open dynamical systems with a moving hole

Derong Kong, Beibei Sun, Zhiqiang Wang

Given an integer $b \geq 3$ , let $T_{b} : [0, 1) \to [0, 1); x \mapsto b x (mod 1)$ be the expanding map on the unit circle. For any $m \in N$ and $Ï=Ï^0Ï^1\ldots\in(\left\{0,1,\ldo…

math.DS2025

Entropy plateaus, transitivity and bifurcation sets for the $I^^{2}$ -transformation with a hole at $0$

Pieter Allaart, Derong Kong

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

math.CA2025

Rational points in Cantor sets and spectral eigenvalue problem for self-similar spectral measures

Derong Kong, Kun Li, Zhiqiang Wang

Given $q \in N_{\geq 3}$ and a finite set $A \subset Q$ , let $K (q, A) = {i = 1 \sum \infty \frac{a _{i}}{q ^{i}} : a_{i} \in A \forall i \in N} .$ For…

The I^2-transformation with a hole at 0: the general case

Open dynamical systems with a moving hole

Entropy plateaus, transitivity and bifurcation sets for the I^2-transformation with a hole at 0

Rational points in Cantor sets and spectral eigenvalue problem for self-similar spectral measures

The $I^^{2}$ -transformation with a hole at $0$ : the general case

Entropy plateaus, transitivity and bifurcation sets for the $I^^{2}$ -transformation with a hole at $0$