Dense Phenomena for Ergodic Schrödinger Operators: I. Spectrum, Integrated Density of States, and Lyapunov Exponent

Artur Avila, David Damanik

We consider Schrödinger operators in ${\ell }^2(\mathbb{Z})$ whose potentials are defined via continuous sampling along the orbits of a homeomorphism on a compact metric space. We show that f…