Normal Typicality and Dynamical Typicality for a Random Block-Band Matrix Model
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| Format: | Preprint |
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2025
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| _version_ | 1866912798960779264 |
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| author | Erdős, László Henheik, Joscha Vogel, Cornelia |
| author_facet | Erdős, László Henheik, Joscha Vogel, Cornelia |
| contents | We prove normal typicality and dynamical typicality for a (centered) random block-band matrix model with block-dependent variances. A key feature of our model is that we achieve intermediate equilibration times, an aspect that has not been proven rigorously in any model before. Our proof builds on recently established concentration estimates for products of resolvents of Wigner type random matrices [arXiv:2403.10359] and an intricate analysis of the deterministic approximation. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2506_17177 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Normal Typicality and Dynamical Typicality for a Random Block-Band Matrix Model Erdős, László Henheik, Joscha Vogel, Cornelia Mathematical Physics Probability 60B20, 82C10 We prove normal typicality and dynamical typicality for a (centered) random block-band matrix model with block-dependent variances. A key feature of our model is that we achieve intermediate equilibration times, an aspect that has not been proven rigorously in any model before. Our proof builds on recently established concentration estimates for products of resolvents of Wigner type random matrices [arXiv:2403.10359] and an intricate analysis of the deterministic approximation. |
| title | Normal Typicality and Dynamical Typicality for a Random Block-Band Matrix Model |
| topic | Mathematical Physics Probability 60B20, 82C10 |
| url | https://arxiv.org/abs/2506.17177 |