-
1
-
-
0009128834
-
Convergence rate of expected spectral distributions of large random matrices. II. Sample covariance matrices
-
Bai, Z. Convergence rate of expected spectral distributions of large random matrices. II. Sample covariance matrices. Ann. Probab. 21 (1993), 649-672.
-
(1993)
Ann. Probab.
, vol.21
, pp. 649-672
-
-
Bai, Z.1
-
2
-
-
0032563047
-
Random matrix ensembles with an extensive external charge
-
Baker, T.; Forrester, P.; Pearce, P. Random matrix ensembles with an extensive external charge. J. Phys. A 31 (1998), no. 29, 6087-6101.
-
(1998)
J. Phys. A
, vol.31
, Issue.29
, pp. 6087-6101
-
-
Baker, T.1
Forrester, P.2
Pearce, P.3
-
3
-
-
0032576497
-
Biorthogonal ensembles
-
Borodin, A. Biorthogonal ensembles. Nuclear Phys. B 536 (1999), 704-732.
-
(1999)
Nuclear Phys. B
, vol.536
, pp. 704-732
-
-
Borodin, A.1
-
4
-
-
0030592669
-
Correlations of nearby levels induced by a random potential
-
Brézin, E.; Hikami, S. Correlations of nearby levels induced by a random potential. Nucl. Phys. B 479 (1996), no. 3, 697-706.
-
(1996)
Nucl. Phys. B
, vol.479
, Issue.3
, pp. 697-706
-
-
Brézin, E.1
Hikami, S.2
-
5
-
-
0001184776
-
Spectral form factor in a random matrix theory
-
Brézin, E.; Hikami, S. Spectral form factor in a random matrix theory. Phys. Rev. E (3) 55 (1997), 4067-4083.
-
(1997)
Phys. Rev. E (3)
, vol.55
, pp. 4067-4083
-
-
Brézin, E.1
Hikami, S.2
-
6
-
-
0032050389
-
Universal singularity at the closure of a gap in a random matrix theory
-
Brézin, E.; Hikami, S. Universal singularity at the closure of a gap in a random matrix theory. Phys. Rev. E (3) 57 (1998), no. 4, 4140-4149.
-
(1998)
Phys. Rev. E (3)
, vol.57
, Issue.4
, pp. 4140-4149
-
-
Brézin, E.1
Hikami, S.2
-
7
-
-
0002542182
-
Gaussian fluctuation in random matrices
-
Costin, O.; Lebowitz, J. Gaussian fluctuation in random matrices. Phys. Rev. Lett. 75 (1995), 69-72.
-
(1995)
Phys. Rev. Lett.
, vol.75
, pp. 69-72
-
-
Costin, O.1
Lebowitz, J.2
-
9
-
-
0000324960
-
Eigenvalues and condition numbers of random matrices
-
Edelman, A. Eigenvalues and condition numbers of random matrices. SIAM J. Matrix Anal. Appl. 9 (1988), 543-560.
-
(1988)
SIAM J. Matrix Anal. Appl.
, vol.9
, pp. 543-560
-
-
Edelman, A.1
-
10
-
-
0001990372
-
The distribution and moments of the smallest eigenvalue of a random matrix of Wishart type
-
Edelman, A. The distribution and moments of the smallest eigenvalue of a random matrix of Wishart type. Linear Algebra Appl. 159 (1991), 55-80.
-
(1991)
Linear Algebra Appl.
, vol.159
, pp. 55-80
-
-
Edelman, A.1
-
12
-
-
0000609652
-
The spectrum edge of random matrix ensembles
-
Forrester, P. The spectrum edge of random matrix ensembles. Nuclear Phys. B 402 (1993), 709-728.
-
(1993)
Nuclear Phys. B
, vol.402
, pp. 709-728
-
-
Forrester, P.1
-
13
-
-
0030355679
-
An Itzykson-Zuber-like integral and diffusion for complex ordinary and supermatrices
-
Guhr, T.; Wettig, T. An Itzykson-Zuber-like integral and diffusion for complex ordinary and supermatrices. J. Math. Phys. 37 (1996), 6395-6413.
-
(1996)
J. Math. Phys.
, vol.37
, pp. 6395-6413
-
-
Guhr, T.1
Wettig, T.2
-
14
-
-
0001226135
-
Concentration of the spectral measure for large matrices
-
Guionnet, A.; Zeitouni, O. Concentration of the spectral measure for large matrices. Electron. Comm. Probab. 5 (2000), 119-136.
-
(2000)
Electron. Comm. Probab.
, vol.5
, pp. 119-136
-
-
Guionnet, A.1
Zeitouni, O.2
-
16
-
-
36749111480
-
The planar approximation. II
-
Itzykson, C.; Zuber, J. The planar approximation. II. J. Math. Phys. 21 (1980), 411-421.
-
(1980)
J. Math. Phys.
, vol.21
, pp. 411-421
-
-
Itzykson, C.1
Zuber, J.2
-
17
-
-
0000730288
-
Finite volume partition functions and Itzykson-Zuber integrals
-
Jackson, A.; Sener, M.; Verbaarschot, J. Finite volume partition functions and Itzykson-Zuber integrals. Phys. Lett. B 387 (1996), 355-360.
-
(1996)
Phys. Lett. B
, vol.387
, pp. 355-360
-
-
Jackson, A.1
Sener, M.2
Verbaarschot, J.3
-
18
-
-
0031536876
-
Universality of correlation functions in random matrix models of QCD
-
Jackson, A.; Sener, M.; Verbaarschot, J. Universality of correlation functions in random matrix models of QCD. Nuclear Phys. B 506 (1997), 612-632.
-
(1997)
Nuclear Phys. B
, vol.506
, pp. 612-632
-
-
Jackson, A.1
Sener, M.2
Verbaarschot, J.3
-
19
-
-
0000952005
-
Distributions of matrix variates and latent roots derived from normal samples
-
James, A. Distributions of matrix variates and latent roots derived from normal samples. Ann. Math. Statist. 35 (1964), 475-501.
-
(1964)
Ann. Math. Statist.
, vol.35
, pp. 475-501
-
-
James, A.1
-
20
-
-
26944464065
-
-
Oberwolfach-Seminar, June 3-9, 2001. Mathematiswches Forschungsinstitut, Oberwolfach, Germany.
-
Johansson, K. Lecture notes. Random matrix theory and combinatorics, Oberwolfach-Seminar, June 3-9, 2001. Mathematiswches Forschungsinstitut, Oberwolfach, Germany. 2001.
-
(2001)
Lecture Notes. Random Matrix Theory and Combinatorics
-
-
Johansson, K.1
-
21
-
-
0035530553
-
Universality of the local spacing distribution in certain ensembles of Hermitian Wigner matrices
-
Johansson, K. Universality of the local spacing distribution in certain ensembles of Hermitian Wigner matrices. Comm. Math. Phys. 215 (2001), 683-705.
-
(2001)
Comm. Math. Phys.
, vol.215
, pp. 683-705
-
-
Johansson, K.1
-
22
-
-
84972545947
-
Coincidence probabilities
-
Karlin, S.; McGregor, J. Coincidence probabilities. Pacific J. Math. 9 (1959), 1141-1164.
-
(1959)
Pacific J. Math.
, vol.9
, pp. 1141-1164
-
-
Karlin, S.1
McGregor, J.2
-
23
-
-
0000376245
-
External matrix field problem and new multicriticalities in (-2)-dimensional random surfaces
-
Kazakov, V. External matrix field problem and new multicriticalities in (-2)-dimensional random surfaces. Nuclear Phys. B 354 (1991), 614-624.
-
(1991)
Nuclear Phys. B
, vol.354
, pp. 614-624
-
-
Kazakov, V.1
-
24
-
-
3042615966
-
Eigenvalues of the Laguerre process as non-colliding squared Bessel processes
-
Konig, W.; O'Connell, N. Eigenvalues of the Laguerre process as non-colliding squared Bessel processes. Electron. Comm. Prob. 6 (2001), 107-114.
-
(2001)
Electron. Comm. Prob.
, vol.6
, pp. 107-114
-
-
Konig, W.1
O'Connell, N.2
-
25
-
-
0003556131
-
-
Oxford Mathematical Monographs. Oxford Science Publications. Clarendon Press, Oxford University Press, New York
-
Macdonald, I. Symmetric functions and Hall polynomials. Second edition. Oxford Mathematical Monographs. Oxford Science Publications. Clarendon Press, Oxford University Press, New York, 1995.
-
(1995)
Symmetric Functions and Hall Polynomials. Second Edition
-
-
Macdonald, I.1
-
26
-
-
0000263234
-
Distribution of eigenvalues for some sets of random matrices
-
Marcenko, V.; Pastur, L. Distribution of eigenvalues for some sets of random matrices. Math. USSR-Sb. 1 (1967), 457-486.
-
(1967)
Math. USSR-Sb
, vol.1
, pp. 457-486
-
-
Marcenko, V.1
Pastur, L.2
-
27
-
-
0010028379
-
Correlation functions of random matrix ensembles related to classical orthogonal polynomials
-
Nagao, T.; Wadati, M. Correlation functions of random matrix ensembles related to classical orthogonal polynomials. J. Phys. Soc. Japan 61 (1992), 1910-1918.
-
(1992)
J. Phys. Soc. Japan
, vol.61
, pp. 1910-1918
-
-
Nagao, T.1
Wadati, M.2
-
29
-
-
0000236195
-
Ergodic unitarily invariant measures on the space of infinite Hermitian matrices
-
American Mathematical Society Translations, Series 2, 175. American Mathematical Society, Providence, R.I.
-
Olshanski, G.; Vershik, A. Ergodic unitarily invariant measures on the space of infinite Hermitian matrices. Contemporary mathematical physics, 137-175. American Mathematical Society Translations, Series 2, 175. American Mathematical Society, Providence, R.I., 1996.
-
(1996)
Contemporary Mathematical Physics
, pp. 137-175
-
-
Olshanski, G.1
Vershik, A.2
-
30
-
-
0004074709
-
-
Computer Science and Applied Mathematics. Academic Press, New York-London
-
Olver, E Asymptotics and special functions. Computer Science and Applied Mathematics. Academic Press, New York-London, 1974.
-
(1974)
Asymptotics and Special Functions.
-
-
Olver, E.1
-
32
-
-
0000602132
-
On the empirical distribution of eigenvalues of a class of large-dimensional random matrices
-
Silverstein, J.; Bai, Z. On the empirical distribution of eigenvalues of a class of large-dimensional random matrices. J. Multivariate Anal. 54 (1995), 175-192.
-
(1995)
J. Multivariate Anal.
, vol.54
, pp. 175-192
-
-
Silverstein, J.1
Bai, Z.2
-
33
-
-
0142008144
-
Determinantal random point fields
-
Soshnikov, A. Determinantal random point fields. Uspekhi Mat. Nauk 55 (2000), 107-160.
-
(2000)
Uspekhi Mat. Nauk
, vol.55
, pp. 107-160
-
-
Soshnikov, A.1
-
34
-
-
0034338426
-
Gaussian fluctuation for the number of particles in Airy, Bessel, Sine and other determinantal random point fields
-
Soshnikov, A. Gaussian fluctuation for the number of particles in Airy, Bessel, Sine and other determinantal random point fields. J. Stat. Phys. 100 (2000), 491-522.
-
(2000)
J. Stat. Phys.
, vol.100
, pp. 491-522
-
-
Soshnikov, A.1
-
35
-
-
0141450345
-
A note on universality of the distribution of the largest eigenvalues in certain sample covariance matrices
-
Soshnikov, A. A note on universality of the distribution of the largest eigenvalues in certain sample covariance matrices. J. Statist. Phys. 108 (2002), 1033-1056.
-
(2002)
J. Statist. Phys.
, vol.108
, pp. 1033-1056
-
-
Soshnikov, A.1
-
37
-
-
0342395256
-
Level spacing distributions and the Bessel kernel
-
Tracy, C.; Widom, H. Level spacing distributions and the Bessel kernel. Comm. Math. Phys. 161 (1994), no. 2, 289-309.
-
(1994)
Comm. Math. Phys.
, vol.161
, Issue.2
, pp. 289-309
-
-
Tracy, C.1
Widom, H.2
-
38
-
-
0039990549
-
The distribution of the largest eigenvalue in the Gaussian ensembles
-
CRM Series in Mathematical Physics. Springer, New York
-
Tracy, C.; Widom, H. The distribution of the largest eigenvalue in the Gaussian ensembles. Calogero-Moser-Sutherland models (Montréal, QC, 1997), 461-472. CRM Series in Mathematical Physics. Springer, New York, 2000.
-
(2000)
Calogero-moser-Sutherland Models (Montréal, QC, 1997)
, pp. 461-472
-
-
Tracy, C.1
Widom, H.2
-
39
-
-
0003851678
-
-
Reprint of the second (1944) edition. Cambridge Mathematical Library. Cambridge University Press, Cambridge
-
Watson, G. A treatise on the theory of Bessel functions. Reprint of the second (1944) edition. Cambridge Mathematical Library. Cambridge University Press, Cambridge, 1995.
-
(1995)
A Treatise on the Theory of Bessel Functions.
-
-
Watson, G.1
-
40
-
-
0004284128
-
-
Computer Science and Scientific Computing. Academic Press, Boston
-
Wong, R. Asymptotic approximations of integrals. Computer Science and Scientific Computing. Academic Press, Boston, 1989.
-
(1989)
Asymptotic Approximations of Integrals
-
-
Wong, R.1
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