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Semiclassical expansions in the Toda hierarchy and the Hermitian matrix model

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dc.contributor.authorMartínez Alonso, Luis
dc.contributor.authorMedina Reus, Elena
dc.date.accessioned2023-06-20T11:02:11Z
dc.date.available2023-06-20T11:02:11Z
dc.date.issued2007-11-23
dc.description©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.
dc.description.abstractAn 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
dc.description.departmentDepto. de Física Teórica
dc.description.facultyFac. de Ciencias Físicas
dc.description.refereedTRUE
dc.description.sponsorshipSpanish Ministerio de Educación y Ciencia
dc.description.sponsorshipEuropean Science Foundation (MISGAM programme)
dc.description.statuspub
dc.eprint.idhttps://eprints.ucm.es/id/eprint/34149
dc.identifier.doi10.1088/1751-8113/40/47/013
dc.identifier.issn1751-8113
dc.identifier.officialurlhttp://dx.doi.org/10.1088/1751-8113/40/47/013
dc.identifier.relatedurlhttp://iopscience.iop.org
dc.identifier.relatedurlhttp://arxiv.org/abs/0706.0592
dc.identifier.urihttps://hdl.handle.net/20.500.14352/51627
dc.issue.number47
dc.journal.titleJournal of physics A: Mathematical and theoretical
dc.language.isoeng
dc.page.final14241
dc.page.initial14223
dc.publisherIOP Publishing Ltd
dc.relation.projectIDFIS2005-00319
dc.rights.accessRightsopen access
dc.subject.cdu51-73
dc.subject.keywordIntegrable hierarchies
dc.subject.keywordOrthogonal polynomials
dc.subject.keywordDiscrete Kp
dc.subject.keywordUniversality
dc.subject.keywordEquations
dc.subject.keywordLimit
dc.subject.keywordAsymptotics
dc.subject.keywordGravity
dc.subject.keywordGrowth
dc.subject.ucmFísica-Modelos matemáticos
dc.subject.ucmFísica matemática
dc.titleSemiclassical expansions in the Toda hierarchy and the Hermitian matrix model
dc.typejournal article
dc.volume.number40
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