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Título:
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On the singular sector of the Hermitian random matrix model in the large N limit
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Autores:
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Konopelchenko, Boris ;
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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Elsevier, 2011-01-31
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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 one-cut case of the Hermitian random matrix model in the large N limit is considered. Its singular sector in the space of coupling constants is analyzed from the point of view of the hodograph equations of the underlying dispersionless Toda hierarchy. A deep connection with the singular sector of the hodograph equations of the 1-layer Benney (classical long wave equation) hierarchy is stablished. This property is a consequence of the fact that the hodograph equations for both hierarchies describe the critical points of solutions of Euler- Poisson-Darboux equations.
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En línea:
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https://eprints.ucm.es/34203/1/1005.4773.pdf
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