01-146 J. Bourgain, S. Jitomirskaya

Nonperturbative absolutely continuous spectrum for 1D quasiperiodic operators. (458K, ps) Apr 18, 01

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Abstract. We prove that 1D discrete Schroedinger operators with potential of the form $\lambda f(\omega n +\theta),$ where $f$ is a 1-periodic analytic function, have purely absolutely continuous spectrum for $\lambda < \lambda(f),$ Diophantine $\omega$ and a.e. $\theta.$

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