-
1
-
-
84888476361
-
-
ANÉ, C, BLACHÈRE, S., CHAFAÏ, D., FOUGÈRES, P., GENTIL, I., MALRIEU, F., ROBERTO, C. and SCHEFFER, G. (2000). Sur les Inégalités de Sobolev Logarithmiques. Panoramas et Synthèses [Panoramas and Syntheses] 10. Société Mathématique de France, Paris. With a preface by Dominique Bakry and Michel Ledoux. MR1845806
-
ANÉ, C, BLACHÈRE, S., CHAFAÏ, D., FOUGÈRES, P., GENTIL, I., MALRIEU, F., ROBERTO, C. and SCHEFFER, G. (2000). Sur les Inégalités de Sobolev Logarithmiques. Panoramas et Synthèses [Panoramas and Syntheses] 10. Société Mathématique de France, Paris. With a preface by Dominique Bakry and Michel Ledoux. MR1845806
-
-
-
-
2
-
-
0347989448
-
-
BAI, Z. D. (1999). Methodologies in spectral analysis of large-dimensional random matrices, a review. Statist. Sinica 9 611-677. With comments by G. J. Rodgers and Jack W Silverstein; and a rejoinder by the author. MR1711663
-
BAI, Z. D. (1999). Methodologies in spectral analysis of large-dimensional random matrices, a review. Statist. Sinica 9 611-677. With comments by G. J. Rodgers and Jack W Silverstein; and a rejoinder by the author. MR1711663
-
-
-
-
3
-
-
22044453079
-
No eigenvalues outside the support of the limiting spectral distribution of large-dimensional sample covariance matrices
-
MR1617051
-
BAI, Z. D. and SILVERSTEIN, J. W. (1998). No eigenvalues outside the support of the limiting spectral distribution of large-dimensional sample covariance matrices. Ann. Probab. 26 316-345. MR1617051
-
(1998)
Ann. Probab
, vol.26
, pp. 316-345
-
-
BAI, Z.D.1
SILVERSTEIN, J.W.2
-
4
-
-
0033164056
-
Exact separation of eigenvalues of large-dimensional sample covariance matrices
-
MR1733159
-
BAI, Z. D. and SILVERSTEIN, J. W. (1999). Exact separation of eigenvalues of large-dimensional sample covariance matrices. Ann. Probab. 27 1536-1555. MR1733159
-
(1999)
Ann. Probab
, vol.27
, pp. 1536-1555
-
-
BAI, Z.D.1
SILVERSTEIN, J.W.2
-
5
-
-
33645671934
-
On the convergence of the spectral empirical process of Wigner matrices
-
MR2189081
-
BAI, Z. D. and YAO, J. (2005). On the convergence of the spectral empirical process of Wigner matrices. Bernoulli 11 1059-1092. MR2189081
-
(2005)
Bernoulli
, vol.11
, pp. 1059-1092
-
-
BAI, Z.D.1
YAO, J.2
-
6
-
-
63849341672
-
Central limit theorems for eigenvalues in a spiked population model
-
BAI, Z. D. and YAO, J. F. (2007). Central limit theorems for eigenvalues in a spiked population model. Ann. Inst. H. Poincaré 44 447-474.
-
(2007)
Ann. Inst. H. Poincaré
, vol.44
, pp. 447-474
-
-
BAI, Z.D.1
YAO, J.F.2
-
7
-
-
84888476903
-
-
BAI, Z. D. and YIN, Y. Q. (1988). Necessary and sufficient conditions for almost sure convergence of the largest eigenvalue of a Wigner matrix. Ann. Probab. 16 1729-1741. MR958213
-
BAI, Z. D. and YIN, Y. Q. (1988). Necessary and sufficient conditions for almost sure convergence of the largest eigenvalue of a Wigner matrix. Ann. Probab. 16 1729-1741. MR958213
-
-
-
-
8
-
-
27644476898
-
Phase transition of the largest eigenvalue for nonnull complex sample covariance matrices
-
MR2165575
-
BAIK, J., BEN AROUS, G. and PÉCHÉ, S. (2005). Phase transition of the largest eigenvalue for nonnull complex sample covariance matrices. Ann. Probab. 33 1643-1697. MR2165575
-
(2005)
Ann. Probab
, vol.33
, pp. 1643-1697
-
-
BAIK, J.1
BEN AROUS, G.2
PÉCHÉ, S.3
-
9
-
-
33646507506
-
Eigenvalues of large sample covariance matrices of spiked population models
-
MR2279680
-
BAIK, J. and SILVERSTEIN, J. W. (2006). Eigenvalues of large sample covariance matrices of spiked population models. J. Multivariate Anal. 97 1382-1408. MR2279680
-
(2006)
J. Multivariate Anal
, vol.97
, pp. 1382-1408
-
-
BAIK, J.1
SILVERSTEIN, J.W.2
-
10
-
-
84888565321
-
-
BILLINGSLEY, P. (1995). Probability and Measure, 3rd ed. Wiley Series in Probability and Mathematical Statistics. Wiley, New York. MR1324786
-
BILLINGSLEY, P. (1995). Probability and Measure, 3rd ed. Wiley Series in Probability and Mathematical Statistics. Wiley, New York. MR1324786
-
-
-
-
11
-
-
79051471398
-
On the top eigenvalue of heavy-tailed random matrices
-
Art. 10001, 5. MR2371333
-
BIROLI, G., BOUCHAUD, J.-P. and POTTERS, M. (2007). On the top eigenvalue of heavy-tailed random matrices. Europhys. Lett. EPL 78 Art. 10001, 5. MR2371333
-
(2007)
Europhys. Lett. EPL
, vol.78
-
-
BIROLI, G.1
BOUCHAUD, J.-P.2
POTTERS, M.3
-
12
-
-
0002829137
-
Exponential integrability and transportation cost related to logarithmic Sobolev inequalities
-
MR1682772
-
BOBKOV, S. G. and GÖTZE, F. (1999). Exponential integrability and transportation cost related to logarithmic Sobolev inequalities. J. Fund. Anal. 163 1-28. MR1682772
-
(1999)
J. Fund. Anal
, vol.163
, pp. 1-28
-
-
BOBKOV, S.G.1
GÖTZE, F.2
-
13
-
-
34249783444
-
Strong asymptotic freeness for Wigner and Wishart matrices
-
MR2317545
-
CAPITAINE, M. and DONATI-MARTIN, C. (2007). Strong asymptotic freeness for Wigner and Wishart matrices. Indiana Univ. Math. J. 56 767-803. MR2317545
-
(2007)
Indiana Univ. Math. J
, vol.56
, pp. 767-803
-
-
CAPITAINE, M.1
DONATI-MARTIN, C.2
-
14
-
-
84888550952
-
-
FELLER, W. (1971). An Introduction to Probability Theory and Its Applications II, 2nd ed. Wiley, New York. MR0270403
-
FELLER, W. (1971). An Introduction to Probability Theory and Its Applications II, 2nd ed. Wiley, New York. MR0270403
-
-
-
-
15
-
-
84888527409
-
-
FERAL, D. (2006). Grandes déviations et fluctuations des valeurs propres maximales de matrices aléatoires. Ph.D. thesis, Univ. Toulouse.
-
FERAL, D. (2006). Grandes déviations et fluctuations des valeurs propres maximales de matrices aléatoires. Ph.D. thesis, Univ. Toulouse.
-
-
-
-
16
-
-
34248227713
-
The largest eigenvalue of rank one deformation of large Wigner matrices
-
MR2291807
-
FERAL, D. and PÉCHÉ, S. (2007). The largest eigenvalue of rank one deformation of large Wigner matrices. Comm. Math. Phys. 272 185-228. MR2291807
-
(2007)
Comm. Math. Phys
, vol.272
, pp. 185-228
-
-
FERAL, D.1
PÉCHÉ, S.2
-
17
-
-
51249182622
-
-
FÜREDI, Z. and KOMLÓS, J. (1981). The eigenvalues of random symmetric matrices. Combinatorica 1 233-241. MR637828
-
FÜREDI, Z. and KOMLÓS, J. (1981). The eigenvalues of random symmetric matrices. Combinatorica 1 233-241. MR637828
-
-
-
-
19
-
-
84888560188
-
-
HORN, R. A. and JOHNSON, C. R. (1990). Matrix Analysis. Cambridge Univ. Press, Cambridge. Corrected reprint of the 1985 original. MR1084815
-
HORN, R. A. and JOHNSON, C. R. (1990). Matrix Analysis. Cambridge Univ. Press, Cambridge. Corrected reprint of the 1985 original. MR1084815
-
-
-
-
20
-
-
0035641726
-
On the distribution of the largest eigenvalue in principal components analysis
-
MR1863961
-
JOHNSTONE, I. M. (2001). On the distribution of the largest eigenvalue in principal components analysis. Ann. Statist. 29 295-327. MR1863961
-
(2001)
Ann. Statist
, vol.29
, pp. 295-327
-
-
JOHNSTONE, I.M.1
-
21
-
-
0030494613
-
Asymptotic properties of large random matrices with independent entries
-
MR1411619
-
KHORUNZHY, A. M., KHORUZHENKO, B. A. and PASTUR, L. A. (1996). Asymptotic properties of large random matrices with independent entries. J. Math. Phys. 37 5033-5060. MR1411619
-
(1996)
J. Math. Phys
, vol.37
, pp. 5033-5060
-
-
KHORUNZHY, A.M.1
KHORUZHENKO, B.A.2
PASTUR, L.A.3
-
22
-
-
84888578565
-
-
LEDOUX, M. (2001). The Concentration of Measure Phenomenon. Mathematical Surveys and Monographs 89. Amer. Math. Soc., Providence, RI. MR1849347
-
LEDOUX, M. (2001). The Concentration of Measure Phenomenon. Mathematical Surveys and Monographs 89. Amer. Math. Soc., Providence, RI. MR1849347
-
-
-
-
23
-
-
34548315757
-
Large deviations for the largest eigenvalue of rank one deformations of Gaussian ensembles
-
electronic, MR2336602
-
MAÏDA, M. (2007). Large deviations for the largest eigenvalue of rank one deformations of Gaussian ensembles. Electron. J. Probab. 12 1131-1150 (electronic). MR2336602
-
(2007)
Electron. J. Probab
, vol.12
, pp. 1131-1150
-
-
MAÏDA, M.1
-
24
-
-
0041037635
-
The Hadamard operator norm, of a circulant and applications
-
MR 1238930
-
MATHIAS, R. (1993). The Hadamard operator norm, of a circulant and applications. SIAM J. Matrix Anal. Appl. 14 1152-1167. MR 1238930
-
(1993)
SIAM J. Matrix Anal. Appl
, vol.14
, pp. 1152-1167
-
-
MATHIAS, R.1
-
25
-
-
38549175880
-
Asymptotics of sample eigenstructure for a large dimensional spiked covariance model
-
MR2399865
-
PAUL, D. (2007). Asymptotics of sample eigenstructure for a large dimensional spiked covariance model. Statist. Sinica 17 1617-1642. MR2399865
-
(2007)
Statist. Sinica
, vol.17
, pp. 1617-1642
-
-
PAUL, D.1
-
26
-
-
28144463102
-
The largest eigenvalue of small rank perturbations of Hermitian random matrices
-
MR2221787
-
PÉCHÉ, S. (2006). The largest eigenvalue of small rank perturbations of Hermitian random matrices. Probab. Theory Related Fields 134 127-173. MR2221787
-
(2006)
Probab. Theory Related Fields
, vol.134
, pp. 127-173
-
-
PÉCHÉ, S.1
-
27
-
-
28144459476
-
Universality of the edge distribution of eigenvalues of Wigner random, matrices with polynomially decaying distributions of entries
-
MR2191882
-
RUZMAIKINA, A. (2006). Universality of the edge distribution of eigenvalues of Wigner random, matrices with polynomially decaying distributions of entries. Comm. Math. Phys. 261 277-296. MR2191882
-
(2006)
Comm. Math. Phys
, vol.261
, pp. 277-296
-
-
RUZMAIKINA, A.1
-
29
-
-
12944259008
-
Non-commutative polynomials of independent Gaussian random, matrices. The real and symplectic cases
-
MR2117954
-
SCHULTZ, H. (2005). Non-commutative polynomials of independent Gaussian random, matrices. The real and symplectic cases. Probab. Theory Related Fields 131 261-309. MR2117954
-
(2005)
Probab. Theory Related Fields
, vol.131
, pp. 261-309
-
-
SCHULTZ, H.1
-
30
-
-
58149320175
-
Analysis of the limiting spectral distribution of large-dimensional random matrices
-
MR1345541
-
SILVERSTEIN, J. W. and CHOI, S.-I. (1995). Analysis of the limiting spectral distribution of large-dimensional random matrices. J. Multivariate Anal. 54 295-309. MR1345541
-
(1995)
J. Multivariate Anal
, vol.54
, pp. 295-309
-
-
SILVERSTEIN, J.W.1
CHOI, S.-I.2
-
31
-
-
0033473406
-
Universality at the edge of the spectrum, in Wigner random matrices
-
MR1727234
-
SOSHNIKOV, A. (1999). Universality at the edge of the spectrum, in Wigner random matrices. Comm. Math. Phys. 207 697-733. MR1727234
-
(1999)
Comm. Math. Phys
, vol.207
, pp. 697-733
-
-
SOSHNIKOV, A.1
-
32
-
-
0013551346
-
Randverteilungen analytischer Funktionen und Distributionen.
-
MR0057345
-
TILLMANN, H.-G. (1953). Randverteilungen analytischer Funktionen und Distributionen. Math. Z. 59 61-83. MR0057345
-
(1953)
Math. Z
, vol.59
, pp. 61-83
-
-
TILLMANN, H.-G.1
-
33
-
-
27644532196
-
Level-spacing distributions and the Airy kernel
-
MR1257246
-
TRACY, C. A. and WIDOM, H. (1994). Level-spacing distributions and the Airy kernel. Comm. Math. Phys. 159 151-174. MR1257246
-
(1994)
Comm. Math. Phys
, vol.159
, pp. 151-174
-
-
TRACY, C.A.1
WIDOM, H.2
|