4 problems

Let $\mathcal{V}$ be the parameter space of finite-type double rotations with a fixed partition, and let the associated map have an attractor. The attractor is semi-continuous with…

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 $g=(A_1A_2)^2$ with $s$ irrational, and let the associated double lattice PET from the compactification theorem be defined on a compactified space with invariant foliation. Den…

Let $R_+$ denote the positive real numbers, and let $A_s=(R_{1,0}R_{s,0})^2$ be the alternating grid system. Let $Q_s$ be the square of $G_{s,0}$ whose bottom-left vertex is the or…