Multifractal aspects of $\alpha$-expansions

Jörg Neunhäuserer

In \cite{[NE]} we introduce $\alpha$-expansions a real numbers in $(0,1]$, given by \[ \sum_{i=1}^{\infty}(α-1)^{i-1}α^{-(d_{1}+\dots+d_{i})}\] with $\alpha >1$ and $d_i\in \mathbb{N}$ and d…