Orthogonal Polynomials and Random Matrices: A Riemann-Hilbert Approach (Courant Lecture Notes) by Percy Deift | (PDF) Free Download

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 $n {rightarrow} {infty}$? The main ingredient in the proof is the steepest descent method for oscillatory Riemann-Hilbert problems.

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Reviews from Amazon users which were colected at the time this book was published on the website:

⭐A very well written book on amazing subjects of random matrices and orthogonal polynomial. Shows amazing connections between different areas of Math.

⭐good instruction

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