Dry Ten Martini Problem in the non-critical case

Abstract

We solve the Dry Ten Martini Problem in the non-critical case, i.e., all possible spectral gaps are open for almost Mathieu operators with $\lambda \ne \pm 1$.

Cited by in corpus (3)

• On gaps in the spectra of quasiperiodic Schrödinger operators with discontinuous monotone potentials
• Almost Mathieu operators with completely resonant phases
• Quantitative reducibility of Gevrey quasi-periodic cocycles and its applications