3 problems

Let $\alpha,\beta\in\mathbb{R}\setminus\mathbb{Q}$ be irrational. Say that they are eventually $\operatorname{PGL}_2(\mathbb{Z})$-equivalent if there exists $m\in\mathbb{N}$ such t…

Let $(X_{\alpha},\operatorname{\sigma}_{\alpha})$ and $(X_{\beta},\operatorname{\sigma}_{\beta})$ be Sturmian systems. Sturmian eventual-flow conjecture. Eventual flow equivalence…

Let $(X_{\alpha},\operatorname{\sigma}_{\alpha})$ and $(X_{\beta},\operatorname{\sigma}_{\beta})$ be Sturmian systems with quadratic parameters $\alpha$ and $\beta$. Eventual flow…