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Large coupling asymptotics for the Lyapunov exponent of finitely smooth quasi-periodic Schrödinger operators

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We quantify the coupling asymptotics for the Lyapunov exponent of the quasi-periodic Schrödinger operator with two classes of finitely smooth potentials, which are well-studied in [23, 26]. We remark that… Click to show full abstract

We quantify the coupling asymptotics for the Lyapunov exponent of the quasi-periodic Schrödinger operator with two classes of finitely smooth potentials, which are well-studied in [23, 26]. We remark that the rate of convergence in the asymptotic formula is independent of the explicit form of the potentials.

Keywords: lyapunov exponent; coupling asymptotics; asymptotics lyapunov; periodic schr; quasi periodic; schr dinger

Journal Title: Nonlinearity
Year Published: 2021

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