Gernot Akemann – Leverhulme Lecture 1

University of Bielefeld

Introduction to non-hermitian random matrix theory and planar orthogonal polynomials

Mathematical Physics Seminar

13th May 2024, 11:00 am – 12:00 pm
Fry Building, 2.04

In these 3 lectures I will give several examples for ensembles of non-Hermitian random matricers with complex eigenvalues. Planar orthogonal polynomials will be introduced as a tool and I will show how to determine them and their kernel. Several quantities such as eigenvalue correlation functions, gap probabilities and the distribution of individual eigenvalues follow from this approach.

Organiser: Thomas Bothner

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