Monodromy Approach to the Scaling Limits in Isomonodromy Systems

被引：0
|
作者：
A. A. Kapaev
机构：
[1] St. Petersburg Department of the Steklov Institute of Mathematics,
[2] RAS,undefined
来源：
Theoretical and Mathematical Physics | 2003年 / 137卷
关键词：
scaling limits; isomonodromic deformations; WKB method; spectral curve; modulation equations;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
The isomonodromy deformation method is applied to the scaling limits in the linear N × N matrix equations with rational coefficients to obtain the deformation equations for the algebraic curves that 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 with the n-large asymptotics in the sequence of the biorthogonal polynomials with cubic potentials.
引用
收藏
页码：1691 / 1702
页数：11
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