For almost all coefficients of real trigonometric polynomial potentials, the spectrum of multi-frequency quasiperiodic Schrödinger operators forms a single interval under strong coupling conditions.
Annals of Mathematics Studies,158, Princeton University Press, 2005
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On the Genericity of the Spectrum Intervalization for Multi-Frequency Quasiperiodic Schr\"{o}dinger Operators
For almost all coefficients of real trigonometric polynomial potentials, the spectrum of multi-frequency quasiperiodic Schrödinger operators forms a single interval under strong coupling conditions.