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| Main Author: | |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2502.03707 |
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| _version_ | 1866917993820192768 |
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| author | Levi, Netanel |
| author_facet | Levi, Netanel |
| contents | Let $H$ be a quasiperiodic Schrödinger operator generated by a monotone potential, as defined in [16]. Following [20], we study the connection between the Lyapunov exponent $L\left(E\right)$, arithmetic properties of the frequency $α$, and certain fractal-dimensional properties of the spectral measures of $H$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_03707 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Universality of Packing Dimension Estimates for Spectral Measures of Quasiperiodic Operators: Monotone Potentials Levi, Netanel Spectral Theory 47B36 Let $H$ be a quasiperiodic Schrödinger operator generated by a monotone potential, as defined in [16]. Following [20], we study the connection between the Lyapunov exponent $L\left(E\right)$, arithmetic properties of the frequency $α$, and certain fractal-dimensional properties of the spectral measures of $H$. |
| title | Universality of Packing Dimension Estimates for Spectral Measures of Quasiperiodic Operators: Monotone Potentials |
| topic | Spectral Theory 47B36 |
| url | https://arxiv.org/abs/2502.03707 |