H\"older continuity of Lyapunov exponent for a family of smooth Schr\"odinger cocycles
Abstract
We prove the H\"older continuity of the Lyapunov exponent for quasi-periodic Schr\"odinger cocycles with a C2 cos-type potential and any fixed Liouvillean frequency, provided the coupling constant is sufficiently large. Moreover, the H\"older exponent is independent of the frequency and the coupling constant.
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