Semiclassical expansions in the Toda hierarchy and the Hermitian matrix model
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2007
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IOP Publishing Ltd
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Abstract
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
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©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.