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 $\epsilon$-perturbations of maps $F(x,\theta )=(f(x,\theta ),\theta )$ where $f(\cdot ,\theta )$ are $C^4$ expandin…