Non-commutative Painlevé equations and Hermite-type matrix orthogonal polynomials

Cafasso, Mattia; Domínguez de la Iglesia, Manuel

doi:http://dx.doi.org/10.1007/s00220-013-1853-4

Artículo

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

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