Open dynamical systems with a moving hole

Derong Kong, Beibei Sun, Zhiqiang Wang

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