Hyperbolicity for one-frequency analytic quasi-periodic (Hermitian)-symplectic cocycles
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866912283255373824 |
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| author | Wang, Duxiao Xu, Disheng Zhou, Qi |
| author_facet | Wang, Duxiao Xu, Disheng Zhou, Qi |
| contents | We demonstrate the existence of an open dense subset within the class of real analytic one-frequency quasi-periodic $\mathrm{\Sp}(4,\mathbb{R})$-cocycles, characterized by either the distinctness of all their Lyapunov exponents or the non-zero nature of all their accelerations, which partially answers an open problem raised by A. Avila. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_15281 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Hyperbolicity for one-frequency analytic quasi-periodic (Hermitian)-symplectic cocycles Wang, Duxiao Xu, Disheng Zhou, Qi Dynamical Systems We demonstrate the existence of an open dense subset within the class of real analytic one-frequency quasi-periodic $\mathrm{\Sp}(4,\mathbb{R})$-cocycles, characterized by either the distinctness of all their Lyapunov exponents or the non-zero nature of all their accelerations, which partially answers an open problem raised by A. Avila. |
| title | Hyperbolicity for one-frequency analytic quasi-periodic (Hermitian)-symplectic cocycles |
| topic | Dynamical Systems |
| url | https://arxiv.org/abs/2503.15281 |