dc.creator | Cafasso, Mattia | es |
dc.creator | Domínguez de la Iglesia, Manuel | es |
dc.date.accessioned | 2016-06-16T10:28:45Z | |
dc.date.available | 2016-06-16T10:28:45Z | |
dc.date.issued | 2014-03 | |
dc.identifier.citation | Cafasso, M. y Domínguez de la Iglesia, M. (2014). Non-commutative Painlevé equations and Hermite-type matrix orthogonal polynomials. Communications in Mathematical Physics, 326 (2), 559-583. | |
dc.identifier.issn | 0010-3616 | es |
dc.identifier.issn | 1432-0916 | es |
dc.identifier.uri | http://hdl.handle.net/11441/42397 | |
dc.description.abstract | We study double integral representations of Christoffel-Darboux kernels associated with two examples of Hermite-type matrix orthogonal polynomials. We show that the Fredholm determinants connected with these kernels are related through the Its-Izergin-Korepin-Slavnov (IIKS) theory with a certain Riemann-Hilbert problem. Using this Riemann-Hilbert problem we obtain a Lax pair whose compatibility conditions lead to a non-commutative version of the Painlevé IV differential equation for each family. | es |
dc.description.sponsorship | Agence Nationale de la Recherche (France) | es |
dc.description.sponsorship | Ministerio de Economía y Competitividad | es |
dc.description.sponsorship | Junta de Andalucía | es |
dc.format | application/pdf | es |
dc.language.iso | eng | es |
dc.publisher | Springer | es |
dc.relation.ispartof | Communications in Mathematical Physics, 326 (2), 559-583. | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.title | Non-commutative Painlevé equations and Hermite-type matrix orthogonal polynomials | es |
dc.type | info:eu-repo/semantics/article | es |
dcterms.identifier | https://ror.org/03yxnpp24 | |
dc.type.version | info:eu-repo/semantics/publishedVersion | es |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | es |
dc.contributor.affiliation | Universidad de Sevilla. Departamento de Análisis Matemático | es |
dc.relation.projectID | info:eu-repo/grantAgreement/MINECO/MTM2012-36732-C03-03 | es |
dc.relation.projectID | FQM-262 | es |
dc.relation.projectID | FQM-4643 | es |
dc.relation.projectID | FQM-7276 | es |
dc.identifier.doi | http://dx.doi.org/10.1007/s00220-013-1853-4 | es |
idus.format.extent | 24 p. | es |
dc.journaltitle | Communications in Mathematical Physics | es |
dc.publication.volumen | 326 | es |
dc.publication.issue | 2 | es |
dc.publication.initialPage | 559 | es |
dc.publication.endPage | 583 | es |
dc.relation.publicationplace | Berlin | es |
dc.identifier.idus | https://idus.us.es/xmlui/handle/11441/42397 | |