Generic singular continuous spectrum for ergodic Schrödinger operators

Artur Avila, David Damanik

We consider Schrödinger operators with ergodic potential $V_{\omega }(n)=f(T^n(\omega ))$, $n\in \mathbb{Z}$, $\omega \in \Omega$, where $T:\Omega \to \Omega$ is a non-periodic homeomorphism. We show that for generic $f \in…