Riemann-Hilbert Methods in the Theory of Orthogonal Polynomials
arXiv:math/0603309
Abstract
In this paper we describe various applications of the Riemann-Hilbert method to the theory of orthogonal polynomials on the line and on the circle.
References in corpus (5)
- Universality at the edge of the spectrum for unitary, orthogonal and symplectic ensembles of random matrices
- Uniform Asymptotics for Polynomials Orthogonal With Respect to a General Class of Discrete Weights and Universality Results for Associated Ensembles
- Universality in Random Matrix Theory for orthogonal and symplectic ensembles
- Type II Hermite-Padé approximation to the exponential function
- Asymptotics of Laurent Polynomials of Even Degree Orthogonal with Respect to Varying Exponential Weights