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arXiv · 1311.0557

Singularity confinement for matrix discrete Painleve Equations

Giovanni A. Cassatella-Contra·Manuel Manas·Piergiulio Tempesta
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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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Giovanni A. Cassatella-Contra, Manuel Manas, Piergiulio Tempesta. 2013-12-23. Singularity confinement for matrix discrete Painleve Equations. https://doi.org/10.1088/0951-7715%2F27%2F9%2F2321

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