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arXiv · 1806.03284

H\"older continuity of Lyapunov exponent for a family of smooth Schr\"odinger cocycles

Jinhao Liang·Yiqian Wang·Jiangong You
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Abstract

We prove the H\"older continuity of the Lyapunov exponent for quasi-periodic Schr\"odinger cocycles with a $C^2$ 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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Jinhao Liang, Yiqian Wang, Jiangong You. 2018-06-08. H\"older continuity of Lyapunov exponent for a family of smooth Schr\"odinger cocycles. https://arxiv.org/abs/1806.03284

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