Riemann-Hilbert problems for orthogonal polynomials with applications I

Goal: to provide a deeper understanding of the Riemann-Hilbert problems for orthogonal
polynomials and applications in random matrix theory.
Course description: This course gives a basic introduction into the basics of the Riemann
Hilbert problems for classical orthogonal polynomials as well as for orthogonal polynomials
with respect to modified/generalized Jacobi weight. During the course it will be presented the
nonlinear steepest descent method of Deift and Zhou. Moreover, it is our aim to show some
applications of the Riemann-Hilbert problems in the theory of random matrices

https://nik.uni-obuda.hu/targyleirasok/wp-content/uploads/2022/06/Riemann-Hilbert-problems-for-orthogonal-polynomials-with-applications_Baricz_2223_1.pdf