De Bruijn graphs and powers of $3/2$

Oleksiy Kurganskyy, Igor Potapov

In this paper we consider the set ${\mathbb{Z}}_6^{\pm \omega }$ of two-way infinite words $\xi$ over the alphabet $\{0,1,2,3,4,5\}$ with the integer left part $\lfloor \xi \rfloor$ and the fr…