We prove H\"older continuity of the Lyapunov exponent L(ω,E) and the integrated density of states at energies that satisfy L(ω,E)>4κ(ω,E)· β(ω)≥ 0 for general analytic potentials, with κ(ω,E) being Avila's acceleration.
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Han et al. (2024) studied this question.
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