Supersymmetric Approach to the Analysis of Random Band Matrices - Mariya Shcherbina 

Analysis and Mathematical Physics
Topic: Supersymmetric Approach to the Analysis of Random Band Matrices
Speaker: Mariya Shcherbina
Affiliation: Institute for Advanced Study
Date: May 10, 2024
We discuss an application of the SUSY approach to the analysis of spectral characteristics of hermitian and non hermitian random band matrices. In 1D case the obtained integral representations for correlation functions of characteristic polynomials allow to analyze the mechanism of phase transition between “localized” and “delocalized” spectral behavior.