LDP for the largest eigenvalue of Kronecker random matrices

Fuente: arXiv
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Hauptverfasser: Guionnet, Alice, Husson, Jonathan, Reker, Jana
Format: Preprint
Veröffentlicht: 2025
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author Guionnet, Alice
Husson, Jonathan
Reker, Jana
author_facet Guionnet, Alice
Husson, Jonathan
Reker, Jana
contents We prove a large deviations principle for the largest eigenvalue of Gaussian Kronecker matrices, namely matrices defined as the sum of tensors of independent Gaussian matrices in the regime where the dimension of the Gaussian matrices goes to infinity.
format Preprint
id arxiv_https___arxiv_org_abs_2512_15953
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle LDP for the largest eigenvalue of Kronecker random matrices
Guionnet, Alice
Husson, Jonathan
Reker, Jana
Probability
60F10, 60B20, 15B52
We prove a large deviations principle for the largest eigenvalue of Gaussian Kronecker matrices, namely matrices defined as the sum of tensors of independent Gaussian matrices in the regime where the dimension of the Gaussian matrices goes to infinity.
title LDP for the largest eigenvalue of Kronecker random matrices
topic Probability
60F10, 60B20, 15B52
url https://arxiv.org/abs/2512.15953