Generalised golden ratios over integer alphabets

Simon Baker

It is a well known result that for $\beta \in (1,\frac{1+\sqrt{5}}{2})$ and $x\in (0,\frac{1}{\beta -1})$ there exists uncountably many $({\epsilon }_i{)}_{i=1}^{\infty }\in {0,1}^{\mathbb{N}}$ such that…