Univoque bases of real numbers: local dimension, Devil's staircase and isolated points

Derong Kong, Wenxia Li, Fan Lv +2

Given a positive integer $M$ and a real number $x>0$, let $\mathcal{U}(x)$ be the set of all bases $q\in (1,M+1]$ for which there exists a unique sequence $(d_i)=d_1{d}_2\dots$ with…