On $SL(2,\mathbb{R})$-cocycles over irrational rotations with secondary collisions

Alexey V. Ivanov

We consider a skew product $F_A=({\sigma }_{\omega },A)$ over irrational rotation ${\sigma }_{\omega }(x)=x+\omega$ of a circle ${\mathbb{T}}^1$. It is supposed that the transformation $A: \mathbb{T}^{1} \to…