 95477 Simon B., Zhu Y.F.
 The Lyapunov exponents for Schr\"odinger operators with
slowly oscillating potentials
(38K, AMSTeX)
Nov 9, 95

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Abstract. By studying the integrated density of states, we prove the
existence of Lyapunov exponents and the Thouless formula for
the Schr\"odinger operator $d^2/ dx^2 + \cos x^{\nu}$ with
$0< \nu < 1$ on $L^2[0,\infty)$. This yields an explicit formula
for these Lyapunov exponents. By applying rank one perturbation
theory, we also obtain some spectral consequences.
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