Weak Hölder continuity of Lyapunov exponent for Gevrey quasi-periodic Schrödinger cocycles
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 \beta(\omega) = 0 .
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| Published in | Journal of spectral theory Vol. 14; no. 4; pp. 1647 - 1660 |
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| Main Authors | , |
| Format | Journal Article |
| Language | English |
| Published |
03.10.2024
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| Online Access | Get full text |
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| Summary: | 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 \beta(\omega) = 0 . |
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| ISSN: | 1664-039X 1664-0403 |
| DOI: | 10.4171/jst/527 |