Multiple orthogonal polynomials, string equations and the large-n limit

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dc.creatorAlonso, L. Martinez
dc.creatorMedina, E.
dc.date2008-12-19
dc.date2008-12-30
dc.date.accessioned2026-07-07T12:23:38Z
dc.date.available2026-07-07T12:23:38Z
dc.descriptionThe Riemann-Hilbert problems for multiple orthogonal polynomials of types I and II are used to derive string equations associated to 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.
dc.description32 pages, 3 figures; small corrections made
dc.identifierhttps://arxiv.org/abs/0812.3817
dc.identifierhttp://arxiv.org/abs/0812.3817
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/214059
dc.subjectExactly Solvable and Integrable Systems
dc.subjectMathematical Physics
dc.titleMultiple orthogonal polynomials, string equations and the large-n limit
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