Expansion properties of Double Standard Maps

Michael Benedicks, Michal Misiurewicz, Ana Rodrigues

For the family of Double Standard Maps $f_{a,b}=2x+a+\frac{b}{\pi }\sin 2\pi x(\mathrm{mod}1)$ we investigate the structure of the space of parameters $a$ when $b=1$ and when $b\in [0,1)$. I…