26–30 juin 2023
IMT
Fuseau horaire Europe/Paris

Large deviations for the top eigenvalue of deformed random matrices

27 juin 2023, 09:45
1h
Salle Pellos (1R2 - 207) (IMT)

Salle Pellos (1R2 - 207)

IMT

Orateur

Benjamin McKenna

Description

In recent years, the few classical results in large deviations for random matrices have been complemented by a variety of new ones, in both the math and physics literatures, whose proofs leverage connections with Harish-Chandra/Itzykson/Zuber integrals. We present one such result, focusing on extreme eigenvalues of deformed sample-covariance and Wigner random matrices. This confirms recent formulas of Maillard (2020) in the physics literature, precisely locating a transition point whose analogue in non-deformed models is not yet fully understood. Joint work with Jonathan Husson.

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