Obstructions to the regularity of the Lyapunov exponents for non-compact random Schrödinger cocycles
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arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866908579490955264 |
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| author | Duarte, Pedro Graxinha, Tomé |
| author_facet | Duarte, Pedro Graxinha, Tomé |
| contents | In this paper, we present a class of random Schrödinger cocycles showing that, for random cocycles with non-compact support, the presence of certain finite moment conditions is essential for establishing a specific modulus of continuity of the Lyapunov exponent. In particular, Hölder continuity of the Lyapunov exponent requires an exponential moment condition. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_06930 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Obstructions to the regularity of the Lyapunov exponents for non-compact random Schrödinger cocycles Duarte, Pedro Graxinha, Tomé Dynamical Systems Mathematical Physics 37H15, 37A30 In this paper, we present a class of random Schrödinger cocycles showing that, for random cocycles with non-compact support, the presence of certain finite moment conditions is essential for establishing a specific modulus of continuity of the Lyapunov exponent. In particular, Hölder continuity of the Lyapunov exponent requires an exponential moment condition. |
| title | Obstructions to the regularity of the Lyapunov exponents for non-compact random Schrödinger cocycles |
| topic | Dynamical Systems Mathematical Physics 37H15, 37A30 |
| url | https://arxiv.org/abs/2509.06930 |