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Singularity confinement for matrix discrete Painleve Equations

Published 4 Nov 2013 in math.CA, math-ph, math.DS, math.MP, and nlin.SI | (1311.0557v2)

Abstract: We study the analytic properties of a matrix discrete system introduced in [7]. 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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