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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.

Large Coupling Asymptotics for the Lyapunov Exponent of Quasi-Periodic Schrödinger Operators with Analytic Potentials