3 problems

Let $x>0$ and let $\mathcal{U}(x)$ denote the set of univoque bases associated with $x$. A point of $\mathcal{U}(x)$ is isolated if it has a neighbourhood containing no other point…

Let $q>q_{KL}$, where $q_{KL}$ is the Komornik–Loreti constant, and let $\mathcal W_q$ be the projection of the difference set between the symbolic univoque set and its approximati…

Let ${\pazocal{U}}$ denote the set of univoque bases. For subsets of the real numbers, write $A-B=\{a-b:a,b\in A\}$ for the algebraic difference and $A\cdot B=\{ab:a\in A,b\in B\}$…