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Konopelchenko, Boris and Martínez Alonso, Luis and Medina Reus, Elena
(2011)
*On the singular sector of the Hermitian random matrix model in the large N limit.*
Physics letters A, 375
(5).
pp. 867-872.
ISSN 0375-9601

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Official URL: http://dx.doi.org/10.1016/j.physleta.2010.12.055

## Abstract

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.

Item Type: | Article |
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Additional Information: | ©2010 Elsevier B.V. All rights reserved. |

Uncontrolled Keywords: | Integrable systems; Hodograph equations; Random matrix models; Euler-Poisson-Darboux equation |

Subjects: | Sciences > Physics > Physics-Mathematical models Sciences > Physics > Mathematical physics |

ID Code: | 34203 |

Deposited On: | 06 Nov 2015 17:05 |

Last Modified: | 10 Dec 2018 15:09 |

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