%0 Book Section
%T Analysis of the large-n limit of multiple orthogonal polynomials and non-intersecting Brownian motions
publisher Amer Inst Physics
%D 2009
%U 978-0-7354-0709-1
%@ https://hdl.handle.net/20.500.14352/53474
%X 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.
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