%0 Journal Article
%A Konopelchenko, Boris
%A Martínez Alonso, Luis
%A Medina Reus, Elena
%T On the singular sector of the Hermitian random matrix model in the large N limit
%D 2011
%@ 0375-9601
%U https://hdl.handle.net/20.500.14352/44792
%X 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.
%~