On the spectrum of multi-frequency quasiperiodic Schrodinger operators with large coupling

摘要

We study multi-frequency quasiperiodic Schrodinger operators on Z. We prove that for a large real analytic potential satisfying certain restrictions the spectrum consists of a single interval. The result is a consequence of a criterion for the spectrum to contain an interval at a given location that we establish non-perturbatively in the regime of positive Lyapunov exponent.