Título:
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Multiple orthogonal polynomials, string equationsand the large-n limit
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Autores:
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Martínez Alonso, Luis ;
Medina Reus, Elena
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Tipo de documento:
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texto impreso
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Editorial:
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IOP publishing ltd, 2009-03-22
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Dimensiones:
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application/pdf
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Nota general:
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info:eu-repo/semantics/openAccess
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Idiomas:
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Palabras clave:
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Estado = Publicado
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Materia = Ciencias: Física: Física-Modelos matemáticos
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Materia = Ciencias: Física: Física matemática
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Tipo = Artículo
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Resumen:
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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.
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En línea:
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https://eprints.ucm.es/34240/1/martinezalonso14preprint.pdf
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