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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2406.05449 |
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| _version_ | 1866911910642843648 |
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| author | Lin, Yanxue Guo, Shuzheng Piao, Daxiong |
| author_facet | Lin, Yanxue Guo, Shuzheng Piao, Daxiong |
| contents | In this paper, we prove the large deviation estimates and Anderson localization for CMV matrices on $\ell^2(\mathbb{Z}_+)$ with Verblunsky coefficients defined dynamically by the hyperbolic toral automorphism. Part of positivity results on the Lyapunov exponents of Chulaevsky-Spencer and Anderson localization results of Bourgain-Schlag on Schrödinger operators with strongly mixing potentials are extended to CMV matrices. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_05449 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Anderson localization for CMV matrices with Verblunsky coefficients defined by the hyperbolic toral automorphism Lin, Yanxue Guo, Shuzheng Piao, Daxiong Spectral Theory 37A30, 42C05, 70G60 In this paper, we prove the large deviation estimates and Anderson localization for CMV matrices on $\ell^2(\mathbb{Z}_+)$ with Verblunsky coefficients defined dynamically by the hyperbolic toral automorphism. Part of positivity results on the Lyapunov exponents of Chulaevsky-Spencer and Anderson localization results of Bourgain-Schlag on Schrödinger operators with strongly mixing potentials are extended to CMV matrices. |
| title | Anderson localization for CMV matrices with Verblunsky coefficients defined by the hyperbolic toral automorphism |
| topic | Spectral Theory 37A30, 42C05, 70G60 |
| url | https://arxiv.org/abs/2406.05449 |