Singularity confinement for matrix discrete Painleve equations

We 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...

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Detalles Bibliográficos
Autores: Cassatella-Contra, Giovanni A, Mañas Baena, Manuel Enrique, Tempesta, Piergiulio
Tipo de recurso: artículo
Fecha de publicación:2014
País:España
Institución:Universidad Complutense de Madrid (UCM)
Repositorio:Docta Complutense
Idioma:inglés
OAI Identifier:oai:docta.ucm.es:20.500.14352/34735
Acceso en línea:https://hdl.handle.net/20.500.14352/34735
Access Level:acceso abierto
Palabra clave:51-73
Orthogonal polynomials
Difference-equations
Integrable systems
Property
Gravity
Graphs
Física-Modelos matemáticos
Física matemática
Descripción
Sumario:We 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.