-
1
-
-
36448938113
-
Integrable structure of Ginibre's ensemble of real random matrices and a Pfaffian integration theorem
-
Akemann G and Kanzieper E 2007 Integrable structure of Ginibre's ensemble of real random matrices and a Pfaffian integration theorem J. Stat. Phys. 129 1159-231
-
(2007)
J. Stat. Phys.
, vol.129
, Issue.5-6
, pp. 1159-1231
-
-
Akemann, G.1
Kanzieper, E.2
-
4
-
-
0019582547
-
Exact results for a two-dimensional one-component plasma on a sphere
-
Caillol J M 1981 Exact results for a two-dimensional one-component plasma on a sphere J. Phys. Lett. (Paris) 42 L245-7
-
(1981)
J. Phys. Lett. (Paris)
, vol.42
, Issue.12
-
-
Caillol, J.M.1
-
5
-
-
36248943043
-
Asymptotic analysis of the Hermite polynomials from their differential-difference equation
-
Dominici D 2007 Asymptotic analysis of the Hermite polynomials from their differential-difference equation J. Diff. Eqns Appl. 13 1115-28
-
(2007)
J. Diff. Eqns Appl.
, vol.13
, pp. 1115-1128
-
-
Dominici, D.1
-
6
-
-
0031068715
-
The probability that a random real Gaussian matrix has k real eigenvalues, related distributions, and the circular law
-
Edelman A 1997 The probability that a random real Gaussian matrix has k real eigenvalues, related distributions, and the circular law J. Multivariate Anal. 60 203-32
-
(1997)
J. Multivariate Anal.
, vol.60
, Issue.2
, pp. 203-232
-
-
Edelman, A.1
-
7
-
-
84968466626
-
How many eigenvalues of a random matrix are real?
-
Edelman A, Kostlan E and Shub M 1994 How many eigenvalues of a random matrix are real? J. Am. Math. Soc. 7 247-67
-
(1994)
J. Am. Math. Soc.
, vol.7
, Issue.1
, pp. 247-267
-
-
Edelman, A.1
Kostlan, E.2
Shub, M.3
-
8
-
-
0642332297
-
Quantum disordered systems with a direction
-
Efetov K B 1997 Quantum disordered systems with a direction Phys. Rev. B 56 9630-48
-
(1997)
Phys. Rev.
, vol.56
, Issue.15
, pp. 9630-9648
-
-
Efetov, K.B.1
-
9
-
-
0010425216
-
Exact results for two-dimensional Coulomb systems
-
Forrester P J 1998 Exact results for two-dimensional Coulomb systems Phys. Rep. 301 235-70
-
(1998)
Phys. Rep.
, vol.301
, Issue.1-3
, pp. 235-270
-
-
Forrester, P.J.1
-
10
-
-
0001616571
-
Two-dimensional one-component plasma in a quadrupolar field
-
Forrester P J and Jancovici B 1996 Two-dimensional one-component plasma in a quadrupolar field Int. J. Mod. Phys. A 11 941-9
-
(1996)
Int. J. Mod. Phys.
, vol.11
, Issue.5
, pp. 941-949
-
-
Forrester, P.J.1
Jancovici, B.2
-
11
-
-
34547650421
-
Eigenvalue statistics of the real Ginibre ensemble
-
Forrester P J and Nagao T 2007 Eigenvalue statistics of the real Ginibre ensemble Phys. Rev. Lett. 99 050603
-
(2007)
Phys. Rev. Lett.
, vol.99
, Issue.5
, pp. 050603
-
-
Forrester, P.J.1
Nagao, T.2
-
12
-
-
0000917560
-
Laughlin's wave functions, Coulomb gases and expansions of the discriminant
-
Di Francesco P, Gaudin M, Itzykson C and Lesage F 1994 Laughlin's wave functions, Coulomb gases and expansions of the discriminant Int. J. Mod. Phys. A 9 4257-351
-
(1994)
Int. J. Mod. Phys.
, vol.9
, Issue.24
, pp. 4257-4351
-
-
Di Francesco, P.1
Gaudin, M.2
Itzykson, C.3
Lesage, F.4
-
13
-
-
4243883592
-
Almost-Hermitian random matrices: Crossover from Wigner-Dyson to Ginibre eigenvalue statistics
-
Fyodorov Y V, Khoruzhenko B A and Sommers H-J 1997 Almost-Hermitian random matrices: crossover from Wigner-Dyson to Ginibre eigenvalue statistics Phys. Rev. Lett. 79 557-60
-
(1997)
Phys. Rev. Lett.
, vol.79
, Issue.4
, pp. 557-560
-
-
Fyodorov, Y.V.1
Khoruzhenko, B.A.2
Sommers, H.-J.3
-
14
-
-
0001703129
-
Statistical ensembles of complex, quaternion, and real matrices
-
Ginibre J 1965 Statistical ensembles of complex, quaternion, and real matrices J. Math. Phys. 6 440-9
-
(1965)
J. Math. Phys.
, vol.6
, Issue.3
, pp. 440-449
-
-
Ginibre, J.1
-
16
-
-
0040579498
-
Two-dimensional Coulomb systems on a surface of constant negative curvature
-
Jancovici B and Téllez G 1998 Two-dimensional Coulomb systems on a surface of constant negative curvature J. Stat. Phys. 91 953-77
-
(1998)
J. Stat. Phys.
, vol.91
, pp. 953-977
-
-
Jancovici, B.1
Téllez, G.2
-
17
-
-
0037047617
-
Eigenvalue correlations in non-Hermitean symplectic random matrices
-
Kanzieper E 2002 Eigenvalue correlations in non-Hermitean symplectic random matrices J. Phys. A: Math. Gen. 35 6631-44
-
(2002)
J. Phys. A: Math. Gen.
, vol.35
, Issue.31
, pp. 6631-6644
-
-
Kanzieper, E.1
-
18
-
-
28844438273
-
Statistics of real eigenvalues in Ginibre's ensemble of random real matrices
-
Kanzieper E and Akemann G 2005 Statistics of real eigenvalues in Ginibre's ensemble of random real matrices Phys. Rev. Lett. 95 230201
-
(2005)
Phys. Rev. Lett.
, vol.95
, Issue.23
, pp. 230201
-
-
Kanzieper, E.1
Akemann, G.2
-
20
-
-
0001203841
-
Eigenvalue statistics of random real matrices
-
Lehmann N and Sommers H-J 1991 Eigenvalue statistics of random real matrices Phys. Rev. Lett. 67 941-4
-
(1991)
Phys. Rev. Lett.
, vol.67
, Issue.8
, pp. 941-944
-
-
Lehmann, N.1
Sommers, H.-J.2
-
21
-
-
22644437833
-
Zeros of the i.i.d. Gaussian power series: A conformally invariant determinantal process
-
Peres Y and Virág B 2005 Zeros of the i.i.d. Gaussian power series: a conformally invariant determinantal process Acta Math. 194 1-35
-
(2005)
Acta Math.
, vol.194
, Issue.1
, pp. 1-35
-
-
Peres, Y.1
Virág, B.2
-
22
-
-
0001559529
-
Sur les valeurs asymptotiques des polynomes d'Hermite
-
Plancherel M and Rotach W 1929 Sur les valeurs asymptotiques des polynomes d'Hermite Comment. Math. Helv. 1 227-54
-
(1929)
Comment. Math. Helv.
, vol.1
, Issue.1
, pp. 227-254
-
-
Plancherel, M.1
Rotach, W.2
-
23
-
-
42749098779
-
Non-Hermitian random matrices and the Calogero-Sutherland model
-
Shukla P 2001 Non-Hermitian random matrices and the Calogero-Sutherland model Phys. Rev. Lett. 87 194102
-
(2001)
Phys. Rev. Lett.
, vol.87
, Issue.19
, pp. 194102
-
-
Shukla, P.1
-
24
-
-
61349197703
-
Averages over Ginibre's ensemble of random real matrices
-
Sinclair C D 2007 Averages over Ginibre's ensemble of random real matrices Int. Math. Res. Not. 2007 rnm015
-
(2007)
Int. Math. Res. Not.
, vol.2007
, pp. 015
-
-
Sinclair, C.D.1
-
25
-
-
34547461199
-
Symplectic structure of the real Ginibre ensemble
-
Sommers H-J 2007 Symplectic structure of the real Ginibre ensemble J. Phys. A: Math. Theor. 40 F671-6
-
(2007)
J. Phys. A: Math. Theor.
, vol.40
, Issue.29
-
-
Sommers, H.-J.1
|