Tau-functions for the Ablowitz-Ladik hierarchy: the matrix-resolvent method

被引：4

作者：

Cafasso, Mattia ^{[1
]}

Yang, Di ^{[2
]}

机构：

[1] Univ Angers, CNRS, LAREMA, SFR MATHSTIC, F-49000 Angers, France

[2] Univ Sci & Technol China, Sch Math Sci, Hefei 230026, Peoples R China

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL | 2022年 / 55卷 / 20期

基金：

欧盟地平线“2020”;

关键词：

Ablowitz-Ladik hierarchy; tau-function; matrix-resolvent method; CUE; EQUATIONS; INTEGRALS; MODELS; TODA;

D O I：

10.1088/1751-8121/ac5e74

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We extend the matrix-resolvent method for computing logarithmic derivatives of tau-functions to the Ablowitz-Ladik hierarchy. In particular, we derive a formula for the generating series of the logarithmic derivatives of an arbitrary tau-function in terms of matrix resolvents. As an application, we provide a way of computing certain integrals over the unitary group.

引用

页数：16

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