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Martínez Alonso, Luis and Medina Reus, Elena (2007) Semiclassical expansions in the Toda hierarchy and the Hermitian matrix model. Journal of physics A: Mathematical and theoretical, 40 (47). pp. 14223-14241. ISSN 1751-8113
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Official URL: http://dx.doi.org/10.1088/1751-8113/40/47/013
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
| Item Type: | Article |
|---|---|
| Additional Information: | ©IOP Publishing Ltd. |
| Uncontrolled Keywords: | Integrable hierarchies; Orthogonal polynomials; Discrete Kp; Universality; Equations; Limit; Asymptotics; Gravity; Growth |
| Subjects: | Sciences > Physics > Physics-Mathematical models Sciences > Physics > Mathematical physics |
| ID Code: | 34149 |
| Deposited On: | 17 Nov 2015 18:52 |
| Last Modified: | 10 Dec 2018 15:09 |
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