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The double scaling limit method in the Toda hierarchy

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dc.contributor.authorMartínez Alonso, Luis
dc.contributor.authorMedina Reus, Elena
dc.date.accessioned2023-06-20T11:02:32Z
dc.date.available2023-06-20T11:02:32Z
dc.date.issued2008-08-22
dc.description©IOP Publishing Ltd. The authors wish to thank the Spanish Ministerio de Educación y Ciencia (research project FIS2005-00319) and the European Science Foundation (MISGAM programme) for their support.
dc.description.abstractCritical points of semiclassical expansions of solutions to the dispersionful Toda hierarchy are considered and a double scaling limit method of regularization is formulated. The analogues of the critical points characterized by the strong conditions in the Hermitian matrix model are analysed and the property of doubling of equations is proved. A wide family of sets of critical points is introduced and the corresponding double scaling limit expansions are discussed.
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/34275
dc.identifier.doi10.1088/1751-8113/41/33/335202
dc.identifier.issn1751-8113
dc.identifier.officialurlhttp://dx.doi.org/10.1088/1751-8113/41/33/335202
dc.identifier.relatedurlhttp://iopscience.iop.org
dc.identifier.relatedurlhttp://arxiv.org/abs/0804.3498
dc.identifier.urihttps://hdl.handle.net/20.500.14352/51635
dc.issue.number33
dc.journal.titleJournal of physics A: Mathematical and Theoretical
dc.language.isoeng
dc.publisherIOP Publishing Ltd
dc.relation.projectIDFIS2005-00319
dc.rights.accessRightsopen access
dc.subject.cdu51-73
dc.subject.keywordMatrix models
dc.subject.keywordIntegrable hierarchies
dc.subject.keywordQuantum-gravity
dc.subject.keywordUniversality
dc.subject.keywordEquations
dc.subject.keywordStrings
dc.subject.keyword1st
dc.subject.ucmFísica-Modelos matemáticos
dc.subject.ucmFísica matemática
dc.titleThe double scaling limit method in the Toda hierarchy
dc.typejournal article
dc.volume.number41
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