3 problems

Let $\sigma$ be a primitive substitution of constant length $d$ with eigenvalue $1$ and eigenvector $\gamma$. Write $S_{\lfloor d^n t\rfloor}(\gamma)$ for the associated ergodic su…

Let $\mathcal{M}$ be the class of maps under consideration, let $\operatorname{invlim} f$ denote the inverse limit of $f$, let $\chi_f$ be the substitution associated with $f$, and…

Let $\sigma$ be an irreducible Pisot substitution, and let the associated substitution dynamical system and its strong coincidence condition be understood. Strong coincidence conje…