 98317 Jaksic V., Molchanov S.
 Localization for One Dimensional Long
Range Random Hamiltonians  revised and extended version.
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Apr 28, 98

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Abstract. We study spectral properties of random Schr\"odinger operators $h_\omega =
h_0 + v_\omega(n)$
on $l^2({\bf Z})$ whose free part $h_0$ is long range.
We prove that the spectrum of $h_\omega$ is
pure point for typical $\omega$ whenever the
offdiagonal terms of $h_0$ decay as $\vert i j\vert^{\gamma}$ for
some $\gamma >8$.
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