Singularity confinement for matrix discrete Painleve Equations

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.

15 pages. This second version is a more comprehensible version of our result stated in the first version