Exponential speed of mixing for skew-products with singularities

R. Markarian, M. J. Pacifico, J. Vieitez

Let $f:[0,1]\times [0,1]\setminus 1/2\to [0,1]\times [0,1]$ be the $C^{\infty }$ endomorphism given by $$f(x,y)=(2x-[2x],y+c/|x-1/2|-[y+c/|x-1/2|]),$$ where $c$ is a positiv…