Eigenstate Thermalization Hypothesis for Wigner-type Matrices
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866913299190251520 |
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| author | Riabov, Volodymyr Erdős, László |
| author_facet | Riabov, Volodymyr Erdős, László |
| contents | We prove the Eigenstate Thermalization Hypothesis for general Wigner-type matrices in the bulk of the self-consistent spectrum, with optimal control on the fluctuations for observables of arbitrary rank. As the main technical ingredient, we prove rank-uniform optimal local laws for one and two resolvents of a Wigner-type matrix with regular observables. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_10359 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Eigenstate Thermalization Hypothesis for Wigner-type Matrices Riabov, Volodymyr Erdős, László Probability 60B20, 15B52 We prove the Eigenstate Thermalization Hypothesis for general Wigner-type matrices in the bulk of the self-consistent spectrum, with optimal control on the fluctuations for observables of arbitrary rank. As the main technical ingredient, we prove rank-uniform optimal local laws for one and two resolvents of a Wigner-type matrix with regular observables. |
| title | Eigenstate Thermalization Hypothesis for Wigner-type Matrices |
| topic | Probability 60B20, 15B52 |
| url | https://arxiv.org/abs/2403.10359 |