Beibei Sun

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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 $ω=ω^0ω^1\ldots\in(\left\{0,1,\ldots,…

math.DS2022

Projections of four corner Cantor set: total self-similarity, spectrum and unique codings

Derong Kong, Beibei Sun

Given $ρ \in (0, 1/4]$ , the four corner Cantor set $E \subset R^{2}$ is a self-similar set generated by the iterated function system \[ \left\{(ρx, ρy), \quad(ρx, ρy+1-ρ),\qu…