Spectral bounds for ergodic Jacobi operators
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866911946699177984 |
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| author | Hatinoğlu, Burak |
| author_facet | Hatinoğlu, Burak |
| contents | We consider ergodic Jacobi operators and obtain estimates on the Lebesgue measure and the distance between maximum and minimum points of the spectrum in terms of the Lyapunov exponent. Our proofs are based on results from logarithmic potential theory and their connections with spectral theory of Jacobi operators. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_04962 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Spectral bounds for ergodic Jacobi operators Hatinoğlu, Burak Spectral Theory 47B36, 47B80, 47E05 We consider ergodic Jacobi operators and obtain estimates on the Lebesgue measure and the distance between maximum and minimum points of the spectrum in terms of the Lyapunov exponent. Our proofs are based on results from logarithmic potential theory and their connections with spectral theory of Jacobi operators. |
| title | Spectral bounds for ergodic Jacobi operators |
| topic | Spectral Theory 47B36, 47B80, 47E05 |
| url | https://arxiv.org/abs/2407.04962 |