Dynamics of low-degree rational inner skew-products on ${\mathbb{T}}^2$

Alan Sola, Ryan Tully-Doyle

We examine iteration of certain skew-products on the bidisk whose components are rational inner functions, with emphasis on simple maps of the form $\Phi (z_1,z_2)=(\varphi (z_1,z_2),z_2)$…