Large deviations for the smallest eigenvalue of a deformed GOE with an outlier

Fuente: arXiv
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Main Authors: Boursier, Jeanne, Guionnet, Alice
Format: Preprint
Published: 2024
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author Boursier, Jeanne
Guionnet, Alice
author_facet Boursier, Jeanne
Guionnet, Alice
contents We establish a large deviation principle for the smallest eigenvalue of a random matrix model composed of the sum of a GOE matrix and a diagonal matrix with an outlier. Our result generalizes and unifies previously studied cases.
format Preprint
id arxiv_https___arxiv_org_abs_2408_09256
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Large deviations for the smallest eigenvalue of a deformed GOE with an outlier
Boursier, Jeanne
Guionnet, Alice
Probability
We establish a large deviation principle for the smallest eigenvalue of a random matrix model composed of the sum of a GOE matrix and a diagonal matrix with an outlier. Our result generalizes and unifies previously studied cases.
title Large deviations for the smallest eigenvalue of a deformed GOE with an outlier
topic Probability
url https://arxiv.org/abs/2408.09256