RT Journal Article
T1 On the singular sector of the Hermitian random matrix model in the large N limit
A1 Konopelchenko, Boris
A1 Martínez Alonso, Luis
A1 Medina Reus, Elena
AB 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.
PB Elsevier
SN 0375-9601
YR 2011
FD 2011-01-31
LK https://hdl.handle.net/20.500.14352/44792
UL https://hdl.handle.net/20.500.14352/44792
LA eng
NO ©2010 Elsevier B.V. All rights reserved.The authors wish to thank the Spanish Ministerio de Educación y Ciencia (research project FIS2008-00200/FIS) for its finantial support. B. K. is thankful to the Departamento de Física Teórica II for the kind hospitality
NO Spanish Ministerio de Educación y Ciencia
DS Docta Complutense
RD 20 ene 2026