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| We consider one-dimensional Schrodinger operators $H = - \Delta + \lambda V$, defined by the random potential $V = V (\omega)$ and the coupling constant $\lambda > 0$. We investigate the spectral properties of these operators for small values of $\lambda$. In particular, we describe the behavior of the density of states and the transition in the microscopic eigenvalue statistics, as the coupling constant $\lambda$ approaches 0. |
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