Singularity confinement for matrix discrete Painleve Equations
Classical Analysis and ODEs
2014-08-26 v2 Mathematical Physics
Dynamical Systems
math.MP
Exactly Solvable and Integrable Systems
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.
Cite
@article{arxiv.1311.0557,
title = {Singularity confinement for matrix discrete Painleve Equations},
author = {Giovanni A. Cassatella-Contra and Manuel Manas and Piergiulio Tempesta},
journal= {arXiv preprint arXiv:1311.0557},
year = {2014}
}
Comments
15 pages. This second version is a more comprehensible version of our result stated in the first version