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Orthogonal Polynomials and Random Matrices: A...

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Orthogonal Polynomials and Random Matrices: A Riemann-Hilbert Approach

Percy Deift

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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.

Kateqoriyalar:

İl:

2000

Nəşriyyat:

American Mathematical Society

Dil:

english

Səhifələr:

269

ISBN 10:

0821826956

ISBN 13:

9780821826959

Seriyalar:

Courant Lecture Notes

Fayl:

DJVU, 1.55 MB

IPFS:

,

english, 2000

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