%0 Journal Article
%A Martínez Alonso, Luis
%A Medina Reus, Elena
%T Multiple orthogonal polynomials, string equationsand the large-n limit
%D 2009
%@ 1751-8113
%U https://hdl.handle.net/20.500.14352/44794
%X The Riemann-Hilbert problems for multiple orthogonal polynomials of types I and II are used to derive string equations associated with pairs of Lax-Orlov operators. A method for determining the quasiclassical limit of string equations in the phase space of the Whitham hierarchy of dispersionless integrable systems is provided. Applications to the analysis of the large-n limit of multiple orthogonal polynomials and their associated random matrix ensembles and models of non-intersecting Brownian motions are given.
%~