95-477 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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