Distribution functions for edge eigenvalues in orthogonal and symplectic ensembles: Painleve representations

被引：19

作者：

Dieng, M ^{[1
]}

机构：

[1] Univ Calif Davis, Dept Math, Davis, CA 95616 USA

来源：

INTERNATIONAL MATHEMATICS RESEARCH NOTICES | 2005年 / 2005卷 / 37期

关键词：

D O I：

10.1155/IMRN.2005.2263

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

引用

页码：2263 / 2287

页数：25

共 50 条

[1] GENERATING FUNCTIONS FOR EIGENVALUES OF CASIMIR OPERATORS OF ORTHOGONAL AND SYMPLECTIC GROUPS
NWACHUKU, CO
RASHID, MA
JOURNAL OF MATHEMATICAL PHYSICS, 1977, 18 (07) : 1387 - 1391
[2] Universality at the edge of the spectrum for unitary, orthogonal, and symplectic ensembles of random matrices
Deift, Percy
Gioev, Dimitri
COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 2007, 60 (06) : 867 - 910
[3] On orthogonal and symplectic matrix ensembles
Tracy, CA
Widom, H
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1996, 177 (03) : 727 - 754
[4] Distribution of complex eigenvalues for symplectic ensembles of non-Hermitian matrices
Kolesnikov, A.V.
Efetov, K.B.
Waves Random Media, 1999, 9 (02): : 71 - 82
[5] Distribution of complex eigenvalues for symplectic ensembles of non-Hermitian matrices
Kolesnikov, AV
Efetov, KB
WAVES IN RANDOM MEDIA, 1999, 9 (02): : 71 - 82
[6] Hard Edge for β-Ensembles and Painleve III
Rumanov, Igor
INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2014, 2014 (23) : 6576 - 6617
[7] ORTHOGONAL AND SYMPLECTIC REPRESENTATIONS OF GROUPS
FROHLICH, A
PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY, 1972, 24 (APR) : 470 - &
[8] Representations of orthogonal and symplectic Yangians
Karakhanyan, D.
Kirschner, R.
NUCLEAR PHYSICS B, 2021, 967
[9] Hard and soft edge spacing distributions for random matrix ensembles with orthogonal and symplectic symmetry
Forrester, P. J.
NONLINEARITY, 2006, 19 (12) : 2989 - 3002
[10] Joint distribution of the first and second eigenvalues at the soft edge of unitary ensembles
Witte, N. S.
Bornemann, F.
Forrester, P. J.
NONLINEARITY, 2013, 26 (06) : 1799 - 1822

← 1 2 3 4 5 →