Hölder continuity of the integrated density of states for Liouville frequencies
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866913484224069632 |
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| author | Han, Rui Schlag, Wilhelm |
| author_facet | Han, Rui Schlag, Wilhelm |
| contents | We prove Hölder continuity of the Lyapunov exponent $L(ω,E)$ and the integrated density of states at energies that satisfy $L(ω,E)>4κ(ω,E)\cdot β(ω)\geq 0$ for general analytic potentials, with $κ(ω,E)$ being Avila's acceleration. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_15962 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Hölder continuity of the integrated density of states for Liouville frequencies Han, Rui Schlag, Wilhelm Mathematical Physics Dynamical Systems Spectral Theory We prove Hölder continuity of the Lyapunov exponent $L(ω,E)$ and the integrated density of states at energies that satisfy $L(ω,E)>4κ(ω,E)\cdot β(ω)\geq 0$ for general analytic potentials, with $κ(ω,E)$ being Avila's acceleration. |
| title | Hölder continuity of the integrated density of states for Liouville frequencies |
| topic | Mathematical Physics Dynamical Systems Spectral Theory |
| url | https://arxiv.org/abs/2408.15962 |