Monodromy approach to the scaling limits in the isomonodromy systems
Exactly Solvable and Integrable Systems
2009-11-07 v2 High Energy Physics - Theory
Classical Analysis and ODEs
Abstract
The isomonodromy deformation method is applied to the scaling limits in the linear NxN matrix equations with rational coefficients to obtain the deformation equations for the algebraic curves which describe the local behavior of the reduced versions for the relevant isomonodromy deformation equations. The approach is illustrated by the study of the algebraic curve associated to the n-large asymptotics in the sequence of the bi-orthogonal polynomials with cubic potentials.
Keywords
Cite
@article{arxiv.nlin/0211022,
title = {Monodromy approach to the scaling limits in the isomonodromy systems},
author = {Andrei A. Kapaev},
journal= {arXiv preprint arXiv:nlin/0211022},
year = {2009}
}
Comments
Latex, 15 pages, 1 figure; submitted to the proceedings of the conference NEEDS 2002; in compare to the original version, there are minor changes in the references and in the main body of the article