Random and Integrable Models in Mathematics and Physics

TL;DR

This paper provides an elementary overview of random matrices, covering combinatorial models and key questions in random matrix theory such as GUE, aimed at introducing the field's fundamental concepts.

Contribution

It offers a simplified, lecture-based introduction to random matrices, emphasizing combinatorial models and core problems in the field.

Findings

Introduction to combinatorial models of random matrices

Discussion of random matrix questions like GUE

Foundational overview for beginners

Abstract

This set of Montreal lectures is an elementary and sketchy introduction to the general field of random matrices. The first half is devoted to combinatorial models, whereas the second half deals with random matrix questions(GUE, etc...).