H\"older continuity of the integrated density of states for Liouville frequencies
Abstract
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)>4(ω,E)· β(ω)≥ 0 for general analytic potentials, with (ω,E) being Avila's acceleration.
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