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math.PR2024
Large deviations for macroscopic observables of heavy-tailed matrices
Charles Bordenave, Alice Guionnet, Camille Male
We consider a finite collection of independent Hermitian heavy-tailed random matrices of growing dimension. Our model includes the Lévy matrices proposed by Bouchaud and Cizeau, as…
math.PR2024
Large deviations for the smallest eigenvalue of a deformed GOE with an outlier
Jeanne Boursier, Alice Guionnet
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…
math.PR2024★ 2 cited
Large deviation principle for the largest eigenvalue of random matrices with a variance profile
Raphaël Ducatez, Alice Guionnet, Jonathan Husson
We establish large deviation principles for the largest eigenvalue of large random matrices with variance profiles. For , we consider random symmetric…