The branch locus for one-dimensional Pisot tiling spaces
Marcy Barge, Beverly Diamond, Richard Swanson · Fundamenta Mathematicae · 2009
If $\varphi$ is a Pisot substitution of degree $d$, then the inflation and substitution homeomorphism $\mit\Phi$ on the tiling space ${\cal T}_{\mit\Phi}$ factors via geometric realization onto a $d$-dimensional solenoid. Under this realization, the co