October 3, 2024Open Access

Weak Hölder continuity of Lyapunov exponent for Gevrey quasi-periodic Schrödinger cocycles

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Abstract

We prove the large deviation theorem (LDT) for quasi-periodic dynamically defined Gevrey Schrödinger cocycles with weak Liouville frequency. We show that the associated Lyapunov exponent is log-Hölder continuous, while the frequency satisfies () = 0.

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Fang et al. (Thu,) studied this question.

synapsesocial.com/papers/68e55ef0e2b3180350efc0ed https://doi.org/https://doi.org/10.4171/jst/527

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