2 problems

Let $\mathcal{V}$ be the parameter space of pairs ${v_0,v_1}$, with a fixed partition, for which the double-rotation map $f_{v_0,v_1}$ on a two-dimensional torus is of finite type.…

Let $\mathbb{T}$ be a two-dimensional torus, let $Rsubseteqmathbb{T}$ be a fixed partition region, and let $v_0,v_1inmathbb{R}^2$. The associated double rotation is the map…