Dichotomies between uniform hyperbolicity and zero Lyapunov exponents for SL(2,R) cocycles

Jairo Bochi, Bassam Fayad

We consider the linear cocycle $(T,A)$ induced by a measure preserving dynamical system $T:X\to X$ and a map $A:X\to SL(2,\mathbb{R})$. We address the dependence of the…