Semiclassical expansions in the Toda hierarchy and the Hermitian matrix model
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 scal...
| Authors: | , |
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| Format: | article |
| Publication Date: | 2007 |
| Country: | España |
| Institution: | Universidad Complutense de Madrid (UCM) |
| Repository: | Docta Complutense |
| Language: | English |
| OAI Identifier: | oai:docta.ucm.es:20.500.14352/51627 |
| Online Access: | https://hdl.handle.net/20.500.14352/51627 |
| Access Level: | Open access |
| Keyword: | 51-73 Integrable hierarchies Orthogonal polynomials Discrete Kp Universality Equations Limit Asymptotics Gravity Growth Física-Modelos matemáticos Física matemática |
| Summary: | 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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