Optimal expansions in non-integer bases

Karma Dajani, Martijn de Vries, Vilmos Komornik +1

For a given positive integer $m$, let $A=\{0,1,...,m\}$ and $q\in (m,m+1)$. A sequence $(c_i)=c_1{c}_2...$ consisting of elements in $A$ is called an expansion of $x$ if $\sum_{i…