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arXiv · 1612.04321

Large coupling asymptotics for the Lyapunov exponent of quasi-periodic Schrödinger operators with analytic potentials

Rui Han·C. A. Marx
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Abstract

We quantify the coupling asymptotics for the Lyapunov-exponent of a one-frequency quasi-periodic Schrödinger operator with analytic potential sampling function. The result refines the well-known lower bound of the Lyapunov-exponent by Sorets and Spencer.

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Rui Han, C. A. Marx. 2017-11-08. Large coupling asymptotics for the Lyapunov exponent of quasi-periodic Schrödinger operators with analytic potentials. https://arxiv.org/abs/1612.04321

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