On the complexity of the set of codings for self-similar sets and a variation on the construction of Champernowne

Simon Baker, Derong Kong

Let $F=\{{\mathbf{p}}_0,\dots ,{\mathbf{p}}_n\}$ be a collection of points in ${\mathbb{R}}^d.$ The set $F$ naturally gives rise to a family of iterated function systems consisting of co…