Continuity of Lyapunov Exponent for Quasi-Periodic Gevrey Cocycles
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arXiv
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866917457191501824 |
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| author | Wang, Xueyin |
| author_facet | Wang, Xueyin |
| contents | It is shown that for the quasi-periodic cocycles in Gevrey space $G^{s}$ and subexponential Brjuno class frequency $Ω(η)$, the Lyapunov exponent is continuous provided that $1<s+η<2$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_02160 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Continuity of Lyapunov Exponent for Quasi-Periodic Gevrey Cocycles Wang, Xueyin Dynamical Systems Mathematical Physics Spectral Theory It is shown that for the quasi-periodic cocycles in Gevrey space $G^{s}$ and subexponential Brjuno class frequency $Ω(η)$, the Lyapunov exponent is continuous provided that $1<s+η<2$. |
| title | Continuity of Lyapunov Exponent for Quasi-Periodic Gevrey Cocycles |
| topic | Dynamical Systems Mathematical Physics Spectral Theory |
| url | https://arxiv.org/abs/2605.02160 |