Orthogonal Polynomials and Random Matrices: A Riemann-Hilbert Approach - Courant Lecture Notes No. 3 (Paperback)
  • Orthogonal Polynomials and Random Matrices: A Riemann-Hilbert Approach - Courant Lecture Notes No. 3 (Paperback)

Orthogonal Polynomials and Random Matrices: A Riemann-Hilbert Approach - Courant Lecture Notes No. 3 (Paperback)

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Paperback Published: 15/10/2000
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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.

Publisher: American Mathematical Society
ISBN: 9780821826959

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