-
1
-
-
0242279604
-
On the asymptotic distribution of eigenvalues of random matrices
-
L. Arnold; On the asymptotic distribution of eigenvalues of random matrices, J. Math. Anal. Appl. 20, 262-268 (1967).
-
(1967)
J. Math. Anal. Appl.
, vol.20
, pp. 262-268
-
-
Arnold, L.1
-
2
-
-
0009128834
-
Convergence rate of expected spectral distributions of large random matrices. Part I: Wigner Matrices, Part II: Sample covariance matrices
-
Z. D. Bai; Convergence rate of expected spectral distributions of large random matrices. Part I: Wigner Matrices, Part II: sample covariance matrices, Annals of Probability 21, No 2, 625-672 (1993)
-
(1993)
Annals of Probability
, vol.21
, Issue.2
, pp. 625-672
-
-
Bai, Z.D.1
-
3
-
-
0347989448
-
Methodologies in spectral analysis of large dimensional random matrices: A review
-
Z. D. Bai; Methodologies in spectral analysis of large dimensional random matrices: a review, Statistica Sinica 9, No 3, 611-661 (1999).
-
(1999)
Statistica Sinica
, vol.9
, Issue.3
, pp. 611-661
-
-
Bai, Z.D.1
-
4
-
-
0031499009
-
Large deviations for Wigner’s law and Voiculescu’s noncommutative entropy
-
G. Ben Arous, A. Guionnet, Large deviations for Wigner’s law and Voiculescu’s noncommutative entropy, Prob. Th. Rel. Fields 108, 517-542 (1997).
-
(1997)
Prob. Th. Rel. Fields
, vol.108
, pp. 517-542
-
-
Ben Arous, G.1
Guionnet, A.2
-
5
-
-
0008682404
-
Some remarks on the Wigner distribution
-
(English)
-
F. A. Berezin; Some remarks on the Wigner distribution, Teo. Mat. Fiz 17, N. 3, 1163-1171 (English) (1973)
-
(1973)
Teo. Mat. Fiz
, vol.17
, Issue.3
, pp. 1163-1171
-
-
Berezin, F.A.1
-
6
-
-
0002829137
-
Exponential integrability and transportation cost related to log-Sobolev inequalities
-
S. G. Bobkov, F. G. Gotze; Exponential integrability and transportation cost related to log-Sobolev inequalities, J. Funct. Anal. 163, No 1 (1999)
-
(1999)
J. Funct. Anal.
, vol.1
, pp. 163
-
-
Bobkov, S.G.1
Gotze, F.G.2
-
7
-
-
3042570522
-
On the density of states of random band matrices
-
L. V. Bogachev, S. A. Molchanov, L. A. Pastur; On the density of states of random band matrices, Math Notes 50, 832-842 (1991).
-
(1991)
Math Notes
, vol.50
, pp. 832-842
-
-
Bogachev, L.V.1
Molchanov, S.A.2
Pastur, L.A.3
-
8
-
-
85037918822
-
Fluctuations de la loi spectrale des grandes matrices aieatoires
-
Submitted to
-
T. Cabanal-Duvillard; Fluctuations de la loi spectrale des grandes matrices aieatoires, Submitted to Ann. Inst. H. Poincare. (1999).
-
(1999)
Ann. Inst. H. Poincare.
-
-
Cabanal-Duvillard, T.1
-
12
-
-
0001429116
-
Logarithmic Sobolev inequalities
-
L. Gross; Logarithmic Sobolev inequalities, Amer. J. Math. 97, 1061-1083 (1975).
-
(1975)
Amer. J. Math.
, vol.97
, pp. 1061-1083
-
-
Gross, L.1
-
15
-
-
0000032203
-
Eigenvalue density of the Wishart matrix and large deviations
-
F. Hiai, D. Petz; Eigenvalue density of the Wishart matrix and large deviations, Inf. Dim. Anal. Quantum Probab. Rel. Top. 1, 633-646 (1998).
-
(1998)
Inf. Dim. Anal. Quantum Probab. Rel. Top.
, vol.1
, pp. 633-646
-
-
Hiai, F.1
Petz, D.2
-
16
-
-
0001459956
-
On fluctuations of eigenvalues of random Hermitian matrices
-
K. Johansson; On fluctuations of eigenvalues of random Hermitian matrices, Duke J. Math. 91, 151-204 (1998).
-
(1998)
Duke J. Math.
, vol.91
, pp. 151-204
-
-
Johansson, K.1
-
17
-
-
0003141985
-
The large n-limit in Statistical Mechanics and the Spectral Theory of Disordered Systems
-
C. Domb, J. L. Lebowitz, Academic Press, London
-
A. M. Khorunzhy, B. A. Khoruzhenko, L. A. Pastur, M. V. Shcherbina; The large n-limit in Statistical Mechanics and the Spectral Theory of Disordered Systems, Phase Transition and Critical Phenomena,15, 73-239 ed. C. Domb, J. L. Lebowitz, Academic Press, London (1992)
-
(1992)
Phase Transition and Critical Phenomena
, vol.15
, pp. 73-239
-
-
Khorunzhy, A.M.1
Khoruzhenko, B.A.2
Pastur, L.A.3
Shcherbina, M.V.4
-
18
-
-
0030494613
-
Asymptotic properties of large random matrices with independent entries
-
A. M. Khorunzhy, B. A. Khoruzhenko, L. A. Pastur; Asymptotic properties of large random matrices with independent entries, J. Math. Phys. 37, 5033-5060 (1996).
-
(1996)
J. Math. Phys.
, vol.37
, pp. 5033-5060
-
-
Khorunzhy, A.M.1
Khoruzhenko, B.A.2
Pastur, L.A.3
-
19
-
-
0000458262
-
Concentration of measure and logarithmic Sobolev inequalities
-
M. Ledoux; Concentration of measure and logarithmic Sobolev inequalities, Seminaire de probabilite XXXIII LNM 1709, 80-216 (1999)
-
(1999)
Seminaire De Probabilite XXXIII LNM
, vol.1709
, pp. 80-216
-
-
Ledoux, M.1
-
20
-
-
0000263234
-
The distribution of eigenvalues in certain sets of random matrices
-
L. A. Pastur, V. A. Martchenko; The distribution of eigenvalues in certain sets of random matrices, Math. USSR-Sbornik 1, 457-483 (1967).
-
(1967)
Math. Ussr-Sbornik
, vol.1
, pp. 457-483
-
-
Pastur, L.A.1
Martchenko, V.A.2
-
22
-
-
0001289978
-
Random Gaussian Band matrices and Freeness with Amalgation
-
D. Shlyakhtenko; Random Gaussian Band matrices and Freeness with Amalgation, Int. Math. Res. Not. 20, 1013-1025 (1996).
-
(1996)
Int. Math. Res. Not.
, vol.20
, pp. 1013-1025
-
-
Shlyakhtenko, D.1
-
23
-
-
0000602132
-
On the empirical distribution of eigenvalues of a class of large dimensional random matrices
-
J. W. Silverstein, Z. D. Bai; On the empirical distribution of eigenvalues of a class of large dimensional random matrices, J. Mult. Anal 54, 175-192 (1995).
-
(1995)
J. Mult. Anal
, vol.54
, pp. 175-192
-
-
Silverstein, J.W.1
Bai, Z.D.2
-
24
-
-
27144550468
-
A central limit theorem for traces of large random matrices with independent matrix elements
-
Ya. Sinai, A. Soshnikov; A central limit theorem for traces of large random matrices with independent matrix elements, Bol. Soc. Brasil. Mat. (N.S.) 29, 1-24 (1998).
-
(1998)
Bol. Soc. Brasil. Mat. (N.S.)
, vol.29
, pp. 1-24
-
-
Sinai, Y.A.1
Soshnikov, A.2
-
25
-
-
84968488047
-
An isoperimetric theorem on the cube and the Khintchine-Kahane inequalities
-
M. Talagrand; An isoperimetric theorem on the cube and the Khintchine-Kahane inequalities, Proc. Amer. Math. Soc 104, 905-909 (1988).
-
(1988)
Proc. Amer. Math. Soc
, vol.104
, pp. 905-909
-
-
Talagrand, M.1
-
26
-
-
51249165477
-
Concentration of measure and isoperimetric inequalities in product spaces
-
M. Talagrand; Concentration of measure and isoperimetric inequalities in product spaces, Pub. Math. IHES 81, 73-205 (1995).
-
(1995)
Pub. Math. IHES
, vol.81
, pp. 73-205
-
-
Talagrand, M.1
-
27
-
-
0030522124
-
A new look at independence
-
M. Talagrand; A new look at independence, Annals of Probab. 24, 1-34 (1996).
-
(1996)
Annals of Probab
, vol.24
, pp. 1-34
-
-
Talagrand, M.1
-
28
-
-
0030489977
-
New concentration inequalities in product spaces
-
M. Talagrand; New concentration inequalities in product spaces, Invent. Math. 86, No 3, 505-563 (1996).
-
(1996)
Invent. Math.
, vol.86
, Issue.3
, pp. 505-563
-
-
Talagrand, M.1
-
29
-
-
0002247902
-
The strong limits of random matrix spectra for sample matrices of independent elements
-
K. W. Wachter; The strong limits of random matrix spectra for sample matrices of independent elements, Annals of Probab. 6, 1-18 (1978).
-
(1978)
Annals of Probab
, vol.6
, pp. 1-18
-
-
Wachter, K.W.1
-
30
-
-
0001560594
-
On the distribution of the roots of certain symmetric matrices
-
E. Wigner; On the distribution of the roots of certain symmetric matrices, Ann. Math. 67, 325-327 (1958).
-
(1958)
Ann. Math.
, vol.67
, pp. 325-327
-
-
Wigner, E.1
-
31
-
-
0002125597
-
The generalized product moment distribution in samples from a normal multivariate population
-
J. Wishart; The generalized product moment distribution in samples from a normal multivariate population, Biometrika 20, 35-52 (1928).
-
(1928)
Biometrika
, vol.20
, pp. 35-52
-
-
Wishart, J.1
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