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Quenched universality for deformed Wigner matrices

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Bibliographic Details
Main Authors: Giorgio, Cipolloni, László, Erdős, Dominik, Schröder
Format: Book
Language:English
Published: Springer 2023
Subjects:
Wigner matrix H yields
Wigner-Dyson-Mehta
Online Access:https://link.springer.com/article/10.1007/s00440-022-01156-7
https://dlib.phenikaa-uni.edu.vn/handle/PNK/7433
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spelling 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
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score 8.891695

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