-
1
-
-
0347989448
-
Methodologies in spectral analysis of large-dimensional random matrices, a review
-
MR1711663
-
Z. D. Bai. Methodologies in spectral analysis of large-dimensional random matrices, a review. Statist. Sinica9 (1999) 611-677. MR1711663
-
(1999)
Statist. Sinica
, vol.9
, pp. 611-677
-
-
Bai, Z.D.1
-
2
-
-
22044453079
-
No eigenvalues outside the support of the limiting spectral distribution of large dimensional sample covariance matrices
-
Z. D. Bai and J. W. Silverstein. No eigenvalues outside the support of the limiting spectral distribution of large-dimensional sample covariance matrices. Ann. Probab. 26 (1998) 316-345. MR1617051 (Pubitemid 128073876)
-
(1998)
Annals of Probability
, vol.26
, Issue.1
, pp. 316-345
-
-
Bai, Z.D.1
Silverstein, J.W.2
-
4
-
-
33645671934
-
On the convergence of the spectral empirical process of wigner matrices
-
MR2189081
-
Z. D. Bai and J. F. Yao. On the convergence of the spectral empirical process of Wigner matrices. Bernoulli11 (2005) 1059-1092. MR2189081
-
(2005)
Bernoulli
, vol.11
, pp. 1059-1092
-
-
Bai, Z.D.1
Yao, J.F.2
-
5
-
-
63849341672
-
Central limit theorems for eigenvalues in a spiked population model
-
MR2451053
-
Z. D. Bai and J. F. Yao. Central limit theorems for eigenvalues in a spiked population model. Ann. Inst. H. Poincaré Probab. Statist. 44 (2008) 447-474. MR2451053
-
(2008)
Ann. Inst. H. Poincaré Probab. Statist.
, vol.44
, pp. 447-474
-
-
Bai, Z.D.1
Yao, J.F.2
-
6
-
-
27644476898
-
Phase transition of the largest eigenvalue for nonnull complex sample covariance matrices
-
DOI 10.1214/009117905000000233
-
J. Baik, G. Ben Arous and S. Péché. Phase transition of the largest eigenvalue for non-null complex sample covariance matrices. Ann. Probab. 33 (2005) 1643-1697. MR2165575 (Pubitemid 41560766)
-
(2005)
Annals of Probability
, vol.33
, Issue.5
, pp. 1643-1697
-
-
Baik, J.1
Arous, G.B.2
Peche, S.3
-
7
-
-
79051471398
-
On the top eigenvalue of heavy-tailed random matrices
-
Art 10001. MR2371333
-
G. Biroli, J. P. Bouchaud and M. Potters. On the top eigenvalue of heavy-tailed random matrices. Europhys. Lett. 78 (2007) Art 10001. MR2371333
-
(2007)
Europhys. Lett.
, vol.78
-
-
Biroli, G.1
Bouchaud, J.P.2
Potters, M.3
-
8
-
-
63049133332
-
The largest eigenvalue of finite rank deformation of large wigner matrices: Convergence and nonuniversality of the fluctuations
-
MR2489158
-
M. Capitaine, C. Donati-Martin and D. Féral. The largest eigenvalue of finite rank deformation of large Wigner matrices: Convergence and nonuniversality of the fluctuations. Ann. Probab. 37 (2009) 1-47. MR2489158
-
(2009)
Ann. Probab.
, vol.37
, pp. 1-47
-
-
Capitaine, M.1
Donati-Martin, C.2
Féral, D.3
-
10
-
-
34248227713
-
The largest eigenvalue of rank one deformation of large wigner matrices
-
MR2291807
-
D. Féral and S. Péché. The largest eigenvalue of rank one deformation of large Wigner matrices. Comm. Math. Phys. 272 (2007) 185-228. MR2291807
-
(2007)
Comm. Math. Phys.
, vol.272
, pp. 185-228
-
-
Féral, D.1
Péché, S.2
-
11
-
-
68749084936
-
The largest eigenvalues of sample covariance matrices for a spiked population: Diagonal case
-
MR2548630
-
D. Féral and S. Péché. The largest eigenvalues of sample covariance matrices for a spiked population: Diagonal case. J. Math. Phys. 50 (2009) 073302. MR2548630
-
(2009)
J. Math. Phys.
, vol.50
, pp. 073302
-
-
Féral, D.1
Péché, S.2
-
12
-
-
51249182622
-
The eigenvalues of random symmetric matrices
-
MR0637828
-
Z. Füredi and J. Komlós. The eigenvalues of random symmetric matrices. Combinatorica1 (1981) 233-241. MR0637828
-
(1981)
Combinatorica
, vol.1
, pp. 233-241
-
-
Füredi, Z.1
Komlós, J.2
-
13
-
-
0003707650
-
-
Amer. Math. Soc., Providence, RI MR1746976
-
F. Hiai and D. Petz. The Semicircle Law, Free Random Variables and Entropy. Mathematical Surveys and Monographs77. Amer. Math. Soc., Providence, RI, 2000. MR1746976
-
(2000)
The Semicircle Law, Free Random Variables and Entropy. Mathematical Surveys and Monographs
, vol.77
-
-
Hiai, F.1
Petz, D.2
-
15
-
-
0039072172
-
Normal convergence by higher semi-invariants with applications to sums of dependent random variables and random graphs
-
MR0920273
-
S. Janson. Normal convergence by higher semi-invariants with applications to sums of dependent random variables and random graphs. Ann. Probab. 16 (1988) 305-312. MR0920273
-
(1988)
Ann. Probab.
, vol.16
, pp. 305-312
-
-
Janson, S.1
-
17
-
-
52949130662
-
The tracy-widom limit for the largest eigenvalues of singular complex wishart matrices
-
MR2398763
-
A. Onatski. The Tracy-Widom limit for the largest eigenvalues of singular complex Wishart matrices. Ann. Appl. Probab. 18 (2008) 470-490. MR2398763
-
(2008)
Ann. Appl. Probab.
, vol.18
, pp. 470-490
-
-
Onatski, A.1
-
18
-
-
38549175880
-
Asymptotics of sample eigenstructure for a large dimensional spiked covariance model
-
MR2399865
-
D. Paul. Asymptotics of sample eigenstructure for a large dimensional spiked covariance model. Statist. Sinica17 (2007) 1617-1641. MR2399865
-
(2007)
Statist. Sinica
, vol.17
, pp. 1617-1641
-
-
Paul, D.1
-
19
-
-
28144463102
-
The largest eigenvalues of small rank perturbations of hermitian random matrices
-
MR2221787
-
S. Péché. The largest eigenvalues of small rank perturbations of Hermitian random matrices. Probab. Theory Related Fields134 (2006) 127-174. MR2221787
-
(2006)
Probab. Theory Related Fields
, vol.134
, pp. 127-174
-
-
Péché, S.1
-
20
-
-
28144459476
-
Universality of the edge distribution of eigenvalues of Wigner random matrices with polynomially decaying distributions of entries
-
DOI 10.1007/s00220-005-1386-6
-
A. Ruzmaikina. Universality of the edge distribution of eigenvalues of Wigner random matrices with polynomially decaying distributions of entries. Comm. Math. Phys. 261 (2006) 277-296. MR2191882 (Pubitemid 41697407)
-
(2006)
Communications in Mathematical Physics
, vol.261
, Issue.2
, pp. 277-296
-
-
Ruzmaikina, A.1
-
21
-
-
0033473406
-
Universality at the edge of the spectrum in wigner random matrices
-
MR1727234
-
A. Soshnikov. Universality at the edge of the spectrum in Wigner random matrices. Comm. Math. Phys. 207 (1999) 697-733. MR1727234
-
(1999)
Comm. Math. Phys.
, vol.207
, pp. 697-733
-
-
Soshnikov, A.1
-
22
-
-
77954624704
-
Random matrices: Universality of the local eigenvalue statistics up to the edge
-
MR2669449
-
T. Tao and V. Vu. Random matrices: Universality of the local eigenvalue statistics up to the edge. Comm. Math. Phys. 298 (2010) 549-572. MR2669449
-
(2010)
Comm. Math. Phys.
, vol.298
, pp. 549-572
-
-
Tao, T.1
Vu, V.2
-
23
-
-
27644532196
-
Level spacing distributions and the airy kernel
-
MR1257246
-
C. A. Tracy and H. Widom. Level spacing distributions and the Airy kernel. Comm. Math. Phys. 159 (1994) 151-174. MR1257246
-
(1994)
Comm. Math. Phys.
, vol.159
, pp. 151-174
-
-
Tracy, C.A.1
Widom, H.2
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