Singularity confinement for matrix discrete Painleve Equations

2013/11/30 by Giovanni A. Cassatella-Contra, Manuel Manas, Piergiulio Tempesta · 1 citation
Mathematics · Physics and Astronomy · #math.CA #math-ph #math.DS #math.MP #nlin.SI #msc:46L55 #msc:37K10 #msc:37L60

paper · pdf · doi:10.1088/0951-7715/27/9/2321

published as Nonlinearity 27 (2014) 2321-2335 · 15 pages. This second version is a more comprehensible version of our result stated in the first version

arxiv created 2013/12/23 · arxiv updated 2014/08/26

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.

Cited by

• A non-commutative discrete first Painlevé hierarchy: the Lax pair approach

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