**Courant Lecture Notes**

Volume: 3;
2000;
261 pp;
Softcover

MSC: Primary 30; 33; 60; 15; 26;
**Print ISBN: 978-0-8218-2695-9
Product Code: CLN/3**

List Price: $37.00

Individual Member Price: $29.60

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# Orthogonal Polynomials and Random Matrices: A Riemann-Hilbert Approach

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*Percy Deift*

A co-publication of the AMS and the Courant Institute of Mathematical Sciences at New York University

This volume expands on a set of lectures held at the Courant Institute on Riemann-Hilbert problems, orthogonal polynomials, and random matrix theory. The goal of the course was to prove universality for a variety of statistical quantities arising in the theory of random matrix models. The central question was the following: Why do very general ensembles of random \(n {\times} n\) matrices exhibit universal behavior as \(n {\rightarrow} {\infty}\)? The main ingredient in the proof is the steepest descent method for oscillatory Riemann-Hilbert problems.

Titles in this series are co-published with the Courant Institute of Mathematical Sciences at New York University.

#### Table of Contents

# Table of Contents

## Orthogonal Polynomials and Random Matrices: A Riemann-Hilbert Approach

#### Readership

Graduate students and research mathematicians interested in functions of a complex variable.