Products and ratios of characteristic polynomials of random Hermitian matrices

被引：75

作者：

Baik, J ^{[1
]}

Deift, P

Strahov, E

机构：

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

[2] Univ Michigan, Dept Math, Ann Arbor, MI 48109 USA

[3] NYU, Courant Inst Math Sci, New York, NY 10012 USA

[4] Inst Adv Study, Sch Math, Princeton, NJ 08540 USA

[5] Brunel Univ, Dept Math Sci, Uxbridge UB8 3PH, Middx, England

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 2003年 / 44卷 / 08期

基金：

美国国家科学基金会;

关键词：

D O I：

10.1063/1.1587875

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We present new and streamlined proofs of various formulas for products and ratios of characteristic polynomials of random Hermitian matrices that have appeared recently in the literature. (C) 2003 American Institute of Physics.

引用

页码：3657 / 3670

页数：14

共 21 条

[1] CORRELATORS OF SPECTRAL DETERMINANTS IN QUANTUM CHAOS [J].

ANDREEV, AV ;

SIMONS, BD .

PHYSICAL REVIEW LETTERS, 1995, 75 (12) :2304-2307

[2]

Andreief C., 1886, Mem. Soc. Sci., V2, P1

[3]

[Anonymous], 1975, AM MATH SOC C PUBLIC

[4] Characteristic polynomials of random matrices [J].

Brézin, E ;

Hikami, S .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2000, 214 (01) :111-135

[5]

Deift P, 1999, COMMUN PUR APPL MATH, V52, P1491, DOI 10.1002/(SICI)1097-0312(199912)52:12<1491::AID-CPA2>3.3.CO

[6]

2-R

[7]

Deift P, 1999, COMMUN PUR APPL MATH, V52, P1335, DOI 10.1002/(SICI)1097-0312(199911)52:11<1335::AID-CPA1>3.0.CO

[8]

2-1

[9] A STEEPEST DESCENT METHOD FOR OSCILLATORY RIEMANN-HILBERT PROBLEMS - ASYMPTOTICS FOR THE MKDV EQUATION [J].

DEIFT, P ;

ZHOU, X .

ANNALS OF MATHEMATICS, 1993, 137 (02) :295-368

[10]

Deift P., Int. Math. Res. Not, V1997, P286, DOI [10.1155/s1073792897000214, DOI 10.1155/S1073792897000214]

← 1 2 3 →