Large coupling asymptotics for the Lyapunov exponent of quasi-periodic Schr\"odinger operators with analytic potentials
Abstract
We quantify the coupling asymptotics for the Lyapunov-exponent of a one-frequency quasi-periodic Schr\"odinger 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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