Semiclassical Expansions in the Toda Hierarchy and the Hermitian Matrix Model

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URI: http://hdl.handle.net/10498/7232

DOI: 10.1088/1751-8113/40/47/013

DOI: 10.1088/1751-8113/40/47/013

ISSN: 1751-8113

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Author/s
Alonso, L.M.; Medina Reus, Elena BlancaAuthority UCA
Date
2007-01-01
Department
Matemáticas
Source
Journal of Physics a-Mathematical and Theoretical (2007, vol. 40, n. 47, p. 14223-14241)
Abstract
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
Subjects
Integrable Hierarchies; Orthogonal Polynomials; Discrete Kp; Universality; Equations; Limit; Asymptotics; Gravity; Growth
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Attribution-NonCommercial-NoDerivs 3.0 Unported
This work is under a Creative Commons License Attribution-NonCommercial-NoDerivs 3.0 Unported