Singularity confinement for matrix discrete Painleve equations

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dc.contributor.authorCassatella-Contra, Giovanni A
dc.contributor.authorMañas Baena, Manuel
dc.contributor.authorTempesta, Piergiulio
dc.date.accessioned2023-06-19T14:54:45Z
dc.date.available2023-06-19T14:54:45Z
dc.date.issued2014-09
dc.description©IOP Publishing Ltd. PT has been supported by Spanish 'Ministerio de Ciencia e Innovacion' grant FIS2011-00260. GC-C benefitted from the financial support of a 'Accion Especial' Ref. AE1/13-18837 of the Universidad Complutense de Madrid. MM acknowledges economical support from the Spanish 'Ministerio de Economia y Competitividad' research project MTM2012-36732-C03-01, Ortogonalidad y aproximacion; Teoria y Aplicaciones.
dc.description.abstractWe study the analytic properties of a matrix discrete system introduced by Cassatella and Manas (2012 Stud. Appl. Math. 128 252-74). The singularity confinement for this system is shown to hold generically, i.e. in the whole space of parameters except possibly for algebraic subvarieties. This paves the way to a generalization of Painleve analysis to discrete matrix models.
dc.description.departmentDepto. de Física Teórica
dc.description.facultyFac. de Ciencias Físicas
dc.description.refereedTRUE
dc.description.sponsorshipMinisterio de Ciencia e Innovacion
dc.description.sponsorshipUniversidad Complutense de Madrid
dc.description.sponsorshipMinisterio de Economia y Competitividad
dc.description.statuspub
dc.eprint.idhttps://eprints.ucm.es/id/eprint/30967
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dc.identifier.doi10.1088/0951-7715/27/9/2321
dc.identifier.issn0951-7715
dc.identifier.officialurlhttp://dx.doi.org/10.1088/0951-7715/27/9/2321
dc.identifier.relatedurlhttp://iopscience.iop.org
dc.identifier.relatedurlhttp://arxiv.org/abs/1311.0557
dc.identifier.urihttps://hdl.handle.net/20.500.14352/34735
dc.issue.number9
dc.journal.titleNonlinearity
dc.language.isoeng
dc.page.final2335
dc.page.initial2321
dc.publisherIOP Publishing Ltd
dc.relation.projectIDFIS2011-00260
dc.relation.projectIDAE1/13-18837
dc.relation.projectIDMTM2012-36732-C03-01
dc.rights.accessRightsopen access
dc.subject.cdu51-73
dc.subject.keywordOrthogonal polynomials
dc.subject.keywordDifference-equations
dc.subject.keywordIntegrable systems
dc.subject.keywordProperty
dc.subject.keywordGravity
dc.subject.keywordGraphs
dc.subject.ucmFísica-Modelos matemáticos
dc.subject.ucmFísica matemática
dc.titleSingularity confinement for matrix discrete Painleve equations
dc.typejournal article
dc.volume.number27
dspace.entity.typePublication
relation.isAuthorOfPublication46e9a666-a5cf-44c3-8726-7cbe2c61bd1a
relation.isAuthorOfPublication.latestForDiscovery46e9a666-a5cf-44c3-8726-7cbe2c61bd1a
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