On fluctuations of eigenvalues of random hermitian matrices

被引：410

作者：

Johansson, K ^{[1
]}

机构：

[1] Royal Inst Technol, Dept Math, S-10044 Stockholm, Sweden

来源：

DUKE MATHEMATICAL JOURNAL | 1998年 / 91卷 / 01期

关键词：

D O I：

10.1215/S0012-7094-98-09108-6

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

[No abstract available]

引用

页码：151 / 204

页数：54

共 33 条

[1] UNIVERSALITY OF BREZIN AND ZEE SPECTRAL CORRELATOR [J].

BEENAKKER, CWJ .

NUCLEAR PHYSICS B, 1994, 422 (03) :515-520

[2]

Bessis D., 1980, Adv. Appl. Math., V1, P109

[3]

Billingsley P, 1968, CONVERGE PROBAB MEAS

[4] UNIVERSALITY OF THE CORRELATIONS BETWEEN EIGENVALUES OF LARGE RANDOM MATRICES [J].

BREZIN, E ;

ZEE, A .

NUCLEAR PHYSICS B, 1993, 402 (03) :613-627

[5] PLANAR DIAGRAMS [J].

BREZIN, E ;

ITZYKSON, C ;

PARISI, G ;

ZUBER, JB .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1978, 59 (01) :35-51

[6] THE WIGNER SEMICIRCLE LAW AND EIGENVALUES OF MATRIX-VALUED DIFFUSIONS [J].

CHAN, T .

PROBABILITY THEORY AND RELATED FIELDS, 1992, 93 (02) :249-272

[7] ON THE STATISTICAL-MECHANICS APPROACH IN THE RANDOM-MATRIX THEORY - INTEGRATED DENSITY-OF-STATES [J].

DEMONVEL, AB ;

PASTUR, L ;

SHCHERBINA, M .

JOURNAL OF STATISTICAL PHYSICS, 1995, 79 (3-4) :585-611

[8] ON THE EIGENVALUES OF RANDOM MATRICES [J].

DIACONIS, P ;

SHAHSHAHANI, M .

JOURNAL OF APPLIED PROBABILITY, 1994, 31A :49-62

[9]

DIFRANCESCO P, 1995, PHYS REP, V254, P1, DOI 10.1016/0370-1573(94)00084-G

[10] STATISTICAL THEORY OF ENERGY LEVELS OF COMPLEX SYSTEMS .3. [J].

DYSON, FJ .

JOURNAL OF MATHEMATICAL PHYSICS, 1962, 3 (01) :166-&

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