Characteristic Polynomials for Random Band Matrices Near the Threshold

被引：3

作者：

Shcherbina, Tatyana ^{[1
]}

机构：

[1] Princeton Univ, Dept Math, Princeton, NJ 08544 USA

来源：

JOURNAL OF STATISTICAL PHYSICS | 2020年 / 179卷 / 04期

关键词：

Band matrices; Characteristic polynomials; Transfer matrices; SCALING PROPERTIES; LOCALIZATION;

D O I：

10.1007/s10955-020-02567-3

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The paper continues (Shcherbina and Shcherbina in Commun Math Phys 351:1009-1044, 2017); Shcherbina in Commun Math Phys 328:45-82, 2014) which study the behaviour of second correlation function of characteristic polynomials of the special case of nxn one-dimensional Gaussian Hermitian random band matrices, when the covariance of the elements is determined by the matrix J=(-W;+1)-1. Applying the transfer matrix approach, we study the case when the bandwidth W is proportional to the threshold root n.

引用

页码：920 / 944

页数：25

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