UNIVERSAL CORRELATIONS BETWEEN EIGENVALUES OF LARGE RANDOM MATRICES

被引：0
|
作者：
BREZIN, E
ZEE, A
机构：
[1] UNIV CALIF SANTA BARBARA,INST THEORET PHYS,SANTA BARBARA,CA 93106
[2] UNIV PARIS SUD,ECOLE NORMALE SUPER,F-75231 PARIS 05,FRANCE
来源：
COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE II | 1993年 / 317卷 / 06期
关键词：
D O I：
暂无
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
Based mostly on numerical experiments, several universal features in the correlations between eigenvalues of large random matrices are known to hold for a broad class of random matrix ensembles. We extend a previous proof of universality for a special class of unitary invariant measures to an essentially arbitrary probability distribution for large hermitean matrices.
引用
收藏
页码：735 / 742
页数：8
相关论文
共 50 条
  • [1] UNIVERSAL BEHAVIOR OF CORRELATIONS BETWEEN EIGENVALUES OF RANDOM MATRICES
    KOBAYAKAWA, TS
    HATSUGAI, Y
    KOHMOTO, M
    PHYSICAL REVIEW E, 1995, 51 (06): : 5365 - 5370
  • [2] UNIVERSALITY OF THE CORRELATIONS BETWEEN EIGENVALUES OF LARGE RANDOM MATRICES
    BREZIN, E
    ZEE, A
    NUCLEAR PHYSICS B, 1993, 402 (03) : 613 - 627
  • [3] Correlations between eigenvalues of large random matrices with independent entries
    Phys Rev E., 2 (1399):
  • [4] Correlations between eigenvalues of large random matrices with independent entries
    DAnna, J
    Zee, A
    PHYSICAL REVIEW E, 1996, 53 (02) : 1399 - 1410
  • [5] LARGE RANDOM MATRICES AND UNIVERSAL CORRELATIONS
    BREZIN, E
    PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 1995, 221 (1-3) : 372 - 379
  • [6] CORRELATION BETWEEN EIGENVALUES OF RANDOM MATRICES
    VODAI, T
    DEROME, JR
    NUOVO CIMENTO DELLA SOCIETA ITALIANA DI FISICA B-GENERAL PHYSICS RELATIVITY ASTRONOMY AND MATHEMATICAL PHYSICS AND METHODS, 1975, 30 (02): : 239 - 253
  • [7] CORRELATIONS BETWEEN EIGENVALUES OF A RANDOM MATRIX
    DYSON, FJ
    COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1970, 19 (03) : 235 - &
  • [8] Large deviations of extreme eigenvalues of random matrices
    Dean, David S.
    Majumdar, Satya N.
    PHYSICAL REVIEW LETTERS, 2006, 97 (16)
  • [9] Eigenvalues of Random Matrices with Generalized Correlations: A Path Integral Approach
    Baron, Joseph W.
    Jewell, Thomas Jun
    Ryder, Christopher
    Galla, Tobias
    PHYSICAL REVIEW LETTERS, 2022, 128 (12)
  • [10] UNIVERSAL PARAMETRIC CORRELATIONS OF EIGENVALUES OF RANDOM-MATRIX ENSEMBLES
    ERIKSEN, KJ
    CHEN, Y
    JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1995, 28 (06): : 1627 - 1640
12345