Orthogonal Polynomials and Random Matrices: A Riemann-Hilbert Approach

Released on by Percy Deift
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  • Orthogonal Polynomials and Random Matrices: A Riemann-Hilbert Approach Book Detail

  • Author : Percy Deift
  • Release Date : 2000
  • Publisher : American Mathematical Soc.
  • Genre : Mathematics
  • Pages : 273
  • ISBN 13 : 0821826956
  • File Size : 88,88 MB
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Orthogonal Polynomials and Random Matrices: A Riemann-Hilbert Approach by Percy Deift PDF Summary

Book Description: 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 > infinity? The main ingredient in the proof is the steepest descent method for oscillatory Riemann-Hilbert problems. Titles in this series are copublished with the Courant Institute of Mathematical Sciences at New York University.

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