ON THE DENSITY OF STATES OF SPARSE RANDOM MATRICES

被引：33

作者：

FYODOROV, YV ^{[1
]}

MIRLIN, AD ^{[1
]}

机构：

[1] LENINGRAD NUCL PHYS INST,GATCHINA 188350,USSR

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1991年 / 24卷 / 09期

关键词：

D O I：

10.1088/0305-4470/24/9/027

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The supersymmetric method of calculation of density of states of a sparse random matrix is shown to be absolutely equivalent to the replica trick. A functional generalization of Hubbard-Stratonovich (HS) transformation was used in the course of the solution.

引用

页码：2219 / 2223

页数：5

共 50 条

[41] BULK EIGENVALUE FLUCTUATIONS OF SPARSE RANDOM MATRICES
He, Yukun
ANNALS OF APPLIED PROBABILITY, 2020, 30 (06): : 2846 - 2879
[42] Smallest singular value of sparse random matrices
Litvak, Alexander E.
Rivasplata, Omar
STUDIA MATHEMATICA, 2012, 212 (03) : 195 - 218
[43] Sparse random matrices: the eigenvalue spectrum revisited
Semerjian, G
Cugliandolo, LF
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2002, 35 (23): : 4837 - 4851
[44] The eigenvalues of very sparse random symmetric matrices
Juozulynas A.
Lithuanian Mathematical Journal, 2004, 44 (1) : 62 - 70
[45] Sparse random matrices have simple spectrum
Luh, Kyle
Van Vu
ANNALES DE L INSTITUT HENRI POINCARE-PROBABILITES ET STATISTIQUES, 2020, 56 (04): : 2307 - 2328
[46] RANDOM MATRICES AND ANALOG STATES
BRODY, TA
MELLO, PA
FLORES, J
BULLETIN OF THE AMERICAN PHYSICAL SOCIETY, 1972, 17 (05): : 680 - &
[47] The density of states and local eigenvalue statistics for random band matrices of fixed width
Brodie, Benjamin
Hislop, Peter D.
JOURNAL OF SPECTRAL THEORY, 2022, 12 (02) : 417 - 457
[48] Spectral density of sparse sample covariance matrices
Nagao, Taro
Tanaka, Toshiyuki
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2007, 40 (19) : 4973 - 4987
[49] Statistical properties of random density matrices
Sommers, HJ
Zyczkowski, K
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2004, 37 (35): : 8457 - 8466
[50] ON THE LEVEL DENSITY OF RANDOM BAND MATRICES
BOGACHEV, LV
MOLCHANOV, SA
PASTUR, LA
MATHEMATICAL NOTES, 1991, 50 (5-6) : 1232 - 1242

← 1 2 3 4 5 →