![School of Natural Sciences Event](/sites/default/files/styles/two_column_medium/public/2019-09/sns_default.jpg?itok=IEu1CLXj)
PU High Energy Theory Seminar
How do the Eigenvalues of a Large non-Hermitian Random Matrix Behave?
This talk will be held in-person in Jadwin Hall, PCTS Room 407 and on Zoom:
https://princeton.zoom.us/j/97248927011?pwd=SWFiNWFwZWE5SUR4OUxvV0ZacVdWQT09
Abstract: We prove that the fluctuations of the eigenvalues converge to the Gaussian Free Field (GFF) on the unit disk. These fluctuations appear on a non-natural scale, due to strong correlations between the eigenvalues.
Then, motivated by the long time behaviour of the ODE \dot{u}=Xu, we give a precise estimate on the eigenvalue with the largest real part and on the spectral radius of X.
Date & Time
February 20, 2023 | 2:30pm – 3:30pm
Location
Jadwin Hall, PCTS Room 407 & ZoomSpeakers
Giorgio Cipolloni
Affiliation
Princeton University