Singularity confinement for matrix discrete Painleve equations
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2014
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IOP Publishing Ltd
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Abstract
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.
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©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.