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Title: ORTHOGONAL POLYNOMIALS AND RANDOM MATRICES
A RIEMANN-HILBERT APPROACH
By: Percy Deift
Format: Paperback

List price: £38.95


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ISBN 10: 0821826956
ISBN 13: 9780821826959
Publisher: AMERICAN MATHEMATICAL SOCIETY
Pub. date: 15 October, 2000
Edition: UK ed.
Series: Courant Lecture Notes No. 3
Pages: 261
Description: 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.
Synopsis: 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.
Illustrations: Illustrations
Publication: US
Imprint: American Mathematical Society
Returns: Returnable
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