3 papers
math.PR2026
Full large deviation principles for the largest eigenvalue of sub-Gaussian Wigner matrices
Nicholas A. Cook, Raphael Ducatez, Alice Guionnet
We establish precise upper-tail asymptotics and large deviation principles for the rightmost eigenvalue of Wigner matrices with sub-Gaussian entries. In contrast to the case…
math.PR2025
Large deviations for generalized Gibbs ensembles of the classical Toda chain
Alice Guionnet, Ronan Memin
We prove large deviation principles for the distribution of the empirical measure of the eigenvalues of Lax matrices following the Generalized Gibbs ensembles of the classical Toda…
math.PR2025
Matrix models at low temperature
Alice Guionnet, Ãdouard Maurel-Segala
In this article we investigate the behavior of multi-matrix unitary invariant models under a potential when the inverse temperature becomes very large. We first p…