%0 Journal Article %A Alonso, L.M. %A Medina Reus, Elena Blanca %T Semiclassical Expansions in the Toda Hierarchy and the Hermitian Matrix Model %D 2007 %@ 1751-8113 %U http://hdl.handle.net/10498/7232 %X An iterative algorithm for determining a type of solutions of the dispersionful 2-Toda hierarchy characterized by string equations is developed. This type includes the solution which underlies the large-N limit of the Hermitian matrix model in the one-cut case. It is also shown how the double scaling limit can be naturally formulated in this scheme %K Integrable Hierarchies %K Orthogonal Polynomials %K Discrete Kp %K Universality %K Equations %K Limit %K Asymptotics %K Gravity %K Growth %~ Universidad de Cádiz