Buongiorno

Martedi' 3 Giugno alle ore 14:00 in Sala di Consiglio Giorgio Cipolloni (University of Arizona) terra' il seguente seminario

Title: Logarithmically correlated fields from non-Hermitian random matrices

Abstract: We study the Brownian evolution of large non-Hermitian matrices and show that their log-determinant converges to a 2+1 dimensional Gaussian field in the Edwards-Wilkinson regularity class, i.e. logarithmically correlated for the parabolic distance. This gives a dynamical extension of the celebrated result by Rider and Virag (2006) proving that the fluctuations of the eigenvalues of Gaussian non-Hermitian matrices converge to a 2 dimensional log-correlated field. Our result, previously not known even in the Gaussian case, holds out of equilibrium for general matrices with i.i.d. entries. We also study the extremal values of these fields and demonstrate their logarithmic dependence on the matrix dimension.

Grazie dell'attenzione Buona giornata Alessandra ************************************************* Prof. Alessandra Faggionato

https://www1.mat.uniroma1.it/people/faggionato/

Department of Mathematics University "La Sapienza" Piazzale Aldo Moro, 5 00185 - Rome

Office 123, first floor *************************************************