Quenched universality for deformed Wigner matrices
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Springer
2023
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| Truy cập trực tuyến: | https://link.springer.com/article/10.1007/s00440-022-01156-7 https://dlib.phenikaa-uni.edu.vn/handle/PNK/7433 |
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oai:localhost:PNK-74332023-04-03T07:08:32Z Quenched universality for deformed Wigner matrices Giorgio, Cipolloni László, Erdős Dominik, Schröder Wigner matrix H yields Wigner-Dyson-Mehta CC BY Following E. Wigner’s original vision, we prove that sampling the eigenvalue gaps within the bulk spectrum of a fixed (deformed) Wigner matrix H yields the celebrated Wigner-Dyson-Mehta universal statistics with high probability. Similarly, we prove universality for a monoparametric family of deformed Wigner matrices H+xA with a deterministic Hermitian matrix A and a fixed Wigner matrix H, just using the randomness of a single scalar real random variable x. Both results constitute quenched versions of bulk universality that has so far only been proven in annealed sense with respect to the probability space of the matrix ensemble. 2023-04-03T07:08:32Z 2023-04-03T07:08:32Z 2022 Book https://link.springer.com/article/10.1007/s00440-022-01156-7 https://dlib.phenikaa-uni.edu.vn/handle/PNK/7433 en application/pdf Springer |
| institution |
Digital Phenikaa |
| collection |
Digital Phenikaa |
| language |
English |
| topic |
Wigner matrix H yields Wigner-Dyson-Mehta |
| spellingShingle |
Wigner matrix H yields Wigner-Dyson-Mehta Giorgio, Cipolloni László, Erdős Dominik, Schröder Quenched universality for deformed Wigner matrices |
| description |
CC BY |
| format |
Book |
| author |
Giorgio, Cipolloni László, Erdős Dominik, Schröder |
| author_facet |
Giorgio, Cipolloni László, Erdős Dominik, Schröder |
| author_sort |
Giorgio, Cipolloni |
| title |
Quenched universality for deformed Wigner matrices |
| title_short |
Quenched universality for deformed Wigner matrices |
| title_full |
Quenched universality for deformed Wigner matrices |
| title_fullStr |
Quenched universality for deformed Wigner matrices |
| title_full_unstemmed |
Quenched universality for deformed Wigner matrices |
| title_sort |
quenched universality for deformed wigner matrices |
| publisher |
Springer |
| publishDate |
2023 |
| url |
https://link.springer.com/article/10.1007/s00440-022-01156-7 https://dlib.phenikaa-uni.edu.vn/handle/PNK/7433 |
| _version_ |
1762184303360344064 |
| score |
8.891695 |