Shift Radix Systems - A Survey

Peter Kirschenhofer, Jörg M. Thuswaldner

Let $d\ge 1$ be an integer and $\mathbf{r}=(r_0,\dots ,r_{d-1})\in {\mathbf{R}}^d$. The {\em shift radix system} ${\tau }_{\mathbf{r}}:{\mathbb{Z}}^d\to {\mathbb{Z}}^d$ is defined by $$ τ_{\bf r}…