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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2502.17532 |
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| _version_ | 1866929729909555200 |
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| author | Zhang, Bei Piao, Daxiong |
| author_facet | Zhang, Bei Piao, Daxiong |
| contents | We investigate the spectral structure of multi-frequency quasi-periodic CMV matrices with Verblunsky coefficients defined by shifts on the $d$-dimensional torus. Under the positive Lyapunov exponent regime and standard Diophantine frequency conditions, we establish that the spectrum of these operators contains intervals on the unit circle. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_17532 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The spectrum of the multi-frequency quasi-periodic CMV matrices contains intervals Zhang, Bei Piao, Daxiong Spectral Theory 2010 37A30, 42C05, 70G60 We investigate the spectral structure of multi-frequency quasi-periodic CMV matrices with Verblunsky coefficients defined by shifts on the $d$-dimensional torus. Under the positive Lyapunov exponent regime and standard Diophantine frequency conditions, we establish that the spectrum of these operators contains intervals on the unit circle. |
| title | The spectrum of the multi-frequency quasi-periodic CMV matrices contains intervals |
| topic | Spectral Theory 2010 37A30, 42C05, 70G60 |
| url | https://arxiv.org/abs/2502.17532 |