RT Journal Article T1 Semiclassical expansions in the Toda hierarchy and the Hermitian matrix model A1 Martínez Alonso, Luis A1 Medina Reus, Elena AB An iterative algorithm for determining a class of solutions of the dispersionful 2-Toda hierarchy characterized by string equations is developed. This class 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 PB IOP Publishing Ltd SN 1751-8113 YR 2007 FD 2007-11-23 LK https://hdl.handle.net/20.500.14352/51627 UL https://hdl.handle.net/20.500.14352/51627 LA eng NO ©IOP Publishing Ltd.The authors wish to thank the Spanish Ministerio de Educación y Ciencia (research project FIS2005-00319) for its finantial support. This work is also part of the MISGAM programme of the European Science Foundation. NO Spanish Ministerio de Educación y Ciencia NO European Science Foundation (MISGAM programme) DS Docta Complutense RD 7 abr 2025