RT Book, Section T1 Analysis of the large-n limit of multiple orthogonal polynomials and non-intersecting Brownian motions A1 Martínez Alonso, Luis A1 Medina Reus, Elena AB In this work we use Riemann-Hilbert problems for multiple orthogonal polynomials in order to derive string equations associated to Lax-Orlov pairs operators. These string equations provide us with a useful tool to analyze the large n-limit of the related hierarchies. The results are finally applied to the study of the associated random matrix models (Gaussian Hermitian matrix models with an external source) and non-intersecting Brownian motions starting from a fix point. PB Amer Inst Physics SN 978-0-7354-0709-1 YR 2009 FD 2009 LK https://hdl.handle.net/20.500.14352/53474 UL https://hdl.handle.net/20.500.14352/53474 LA eng NO ©Amer Inst Physics.ISSN: 0094-243XInternational Conference on Numerical Analysis and Applied Mathematics (2009. Rethymno, Grecia) DS Docta Complutense RD 28 abr 2025