Statistical properties of mostly expanding fast-slow partially hyperbolic systems

Jacopo De Simoi, Kasun Fernando, Nicholas Fleming-Vázquez

We consider a class of fast-slow $C^4$ partially hyperbolic systems on ${\mathbb{T}}^2$ given by $\hat{I}\mu$-perturbations of maps $F(x,\hat{I}¸)=(f(x,\hat{I}¸),\hat{I}¸)$ where $f(\cdot ,\hat{I}¸)$ are $C^4$ exp…