3 problems

Let $\sigma$ be a unimodular irreducible Pisot substitution, let $M_{\sigma}$ be its incidence matrix, and let $p(x)$ be the characteristic polynomial of $M_{\sigma}$. Let $q(x)$ b…

Let $\sigma$ be the substitution on three symbols defined by … Let $u=\sigma^{\infty}(a)$ be its unique one-sided fixed point, and let $\mathfrak R_{\sigma}$ denote its Rauzy fract…

Let $\sigma$ be a substitution on an alphabet of $k$ symbols, with dynamical system $(\Omega_u,S)$ associated to a fixed point, and suppose that $\sigma$ is unimodular and irreduci…