Patterned random matrices: deviations from universality

被引：2

作者：

Ali, Md Sabir ^{[1
]}

Srivastava, Shashi C. L. ^{[1
,2
]}

机构：

[1] Variable Energy Cyclotron Ctr, Kolkata 700064, India

[2] Homi Bhabha Natl Inst, Training Sch Complex, Mumbai 400094, India

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL | 2022年 / 55卷 / 49期

关键词：

random matrices; level statistics; Palindromic Toeplitz matrices; Reverse circulant matrices;

D O I：

10.1088/1751-8121/aca732

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We investigate the level spacing distribution for three ensembles of real symmetric matrices having additional structural constraint to reduce the number of independent entries to only (n+1)/2 n(n+1)/2 n x n. We derive all the results analytically exactly for the 3x3 n cases as well, which we study numerically.

引用

页数：12

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