-
3
-
-
0033458290
-
Longest increasing subsequences: From patience sorting to the Baik-Deift-Johansson theorem
-
D. Aldous and P. Diaconis (1999), 'Longest increasing subsequences: from patience sorting to the Baik-Deift-Johansson theorem', Bull. Amer. Math. Soc. 36, 413-432.
-
(1999)
Bull. Amer. Math. Soc.
, vol.36
, pp. 413-432
-
-
Aldous, D.1
Diaconis, P.2
-
5
-
-
0002067901
-
Note sur une relation les intégrales définies des produits des fonctions
-
C. Andréief (1883), 'Note sur une relation les intégrales définies des produits des fonctions', Mém. de la Soc. Sci. Bordeaux 2, 1-14.
-
(1883)
Mém. de la Soc. Sci. Bordeaux
, vol.2
, pp. 1-14
-
-
Andréief, C.1
-
7
-
-
0347989448
-
Methodologies in spectral analysis of large-dimensional random matrices: A review
-
With comments by G. J. Rodgers and J. W. Silverstein, and a rejoinder by the author
-
Z. D. Bai (1999), 'Methodologies in spectral analysis of large-dimensional random matrices: a review', Statist. Sinica 9(3), 611-677. With comments by G. J. Rodgers and J. W. Silverstein, and a rejoinder by the author.
-
(1999)
Statist. Sinica
, vol.9
, Issue.3
, pp. 611-677
-
-
Bai, Z.D.1
-
8
-
-
2942687316
-
On the foundations of computational mathematics
-
North-Holland, Amsterdam
-
B. J. C. Baxter and A. Iserles (2003), On the foundations of computational mathematics, in Handbook of Numerical Analysis, Vol. XI, North-Holland, Amsterdam, pp. 3-34.
-
(2003)
Handbook of Numerical Analysis
, vol.11
, pp. 3-34
-
-
Baxter, B.J.C.1
Iserles, A.2
-
9
-
-
33748798125
-
Free probability for probabilists
-
World Scientific, River Edge, NJ
-
P. Biane (2003), Free probability for probabilists, in Quantum probability communications, Vol. XI: Grenoble, 1998, World Scientific, River Edge, NJ, pp. 55-71.
-
(2003)
Quantum Probability Communications, Vol. XI: Grenoble, 1998
, vol.11
, pp. 55-71
-
-
Biane, P.1
-
10
-
-
0033244830
-
Semiclassical asymptotics of orthogonal polynomials, Riemann-Hilbert problem, and the universality in the matrix model
-
P. Bleher and A. Its (1999), 'Semiclassical asymptotics of orthogonal polynomials, Riemann-Hilbert problem, and the universality in the matrix model', Ann. Math. 150, 185-266.
-
(1999)
Ann. Math.
, vol.150
, pp. 185-266
-
-
Bleher, P.1
Its, A.2
-
12
-
-
0009270029
-
Longest increasing subsequences of random colored permutations
-
electronic
-
A. Borodin (1999), 'Longest increasing subsequences of random colored permutations', Electron. J. Combin. 6, # 13 (electronic).
-
(1999)
Electron. J. Combin.
, vol.6
, Issue.13
-
-
Borodin, A.1
-
13
-
-
0037471252
-
Increasing subsequences and the hard-tosoft edge transition in matrix ensembles
-
A. Borodin and P. J. Forrester (2003), 'Increasing subsequences and the hard-tosoft edge transition in matrix ensembles', J. Phys. A 36(12), 2963-2981.
-
(2003)
J. Phys. A
, vol.36
, Issue.12
, pp. 2963-2981
-
-
Borodin, A.1
Forrester, P.J.2
-
15
-
-
1642297699
-
Random matrix theory and symmetric spaces
-
M. Caselle and U. Magnea (2004), 'Random matrix theory and symmetric spaces', Phys. Rep. 394(2-3), 41-156.
-
(2004)
Phys. Rep.
, vol.394
, Issue.2-3
, pp. 41-156
-
-
Caselle, M.1
Magnea, U.2
-
16
-
-
0003617430
-
-
SIAM, Philadelphia, PA
-
F. Chaitin-Chatelin and V. Frayssé (1996), Lectures on Finite Precision Computations: Software, Environments, and Tools, SIAM, Philadelphia, PA.
-
(1996)
Lectures on Finite Precision Computations: Software, Environments, and Tools
-
-
Chaitin-Chatelin, F.1
Frayssé, V.2
-
17
-
-
0001239018
-
Some noncentral distribution problems in multivariate analysis
-
A. Constantine (1963), 'Some noncentral distribution problems in multivariate analysis', Ann. Math. Statist. 34, 1270-1285.
-
(1963)
Ann. Math. Statist.
, vol.34
, pp. 1270-1285
-
-
Constantine, A.1
-
18
-
-
0003346458
-
Orthogonal polynomials and random matrices: A riemann-hilbert approach
-
New York University Courant Institute of Mathematical Sciences, New York
-
P. A. Deift (1999), Orthogonal Polynomials and Random Matrices: A Riemann-Hilbert Approach, Vol. 3 of Courant Lecture Notes in Mathematics, New York University Courant Institute of Mathematical Sciences, New York.
-
(1999)
Courant Lecture Notes in Mathematics
, vol.3
-
-
Deift, P.A.1
-
19
-
-
0000200448
-
Integrable systems and combinatorial theory
-
P. Deift (2000), 'Integrable systems and combinatorial theory', Notices Amer. Math. Soc. 47(6), 631-640.
-
(2000)
Notices Amer. Math. Soc.
, vol.47
, Issue.6
, pp. 631-640
-
-
Deift, P.1
-
20
-
-
0031493906
-
A Riemann-Hilbert problem approach to asymptotic problems arising in the theory of random matrix models, and also in the theory of integrable statistical mechanics
-
P. Deift, A. Its and X. Zhou (1997), 'A Riemann-Hilbert problem approach to asymptotic problems arising in the theory of random matrix models, and also in the theory of integrable statistical mechanics', Ann. Math. 146(1), 149-235.
-
(1997)
Ann. Math.
, vol.146
, Issue.1
, pp. 149-235
-
-
Deift, P.1
Its, A.2
Zhou, X.3
-
22
-
-
3042595974
-
-
PhD thesis, Department of Mathematics, Massachusetts Institute of Technology, Cambridge, MA
-
I. Dumitriu (2003), Eigenvalue statistics for beta-ensembles, PhD thesis, Department of Mathematics, Massachusetts Institute of Technology, Cambridge, MA.
-
(2003)
Eigenvalue Statistics for Beta-ensembles
-
-
Dumitriu, I.1
-
24
-
-
0001755436
-
The threefold way: Algebraic structures of symmetry groups and ensembles in quantum mechanics
-
F. J. Dyson (1963), 'The threefold way: algebraic structures of symmetry groups and ensembles in quantum mechanics', J. Math. Phys. 3, 1199-1215.
-
(1963)
J. Math. Phys.
, vol.3
, pp. 1199-1215
-
-
Dyson, F.J.1
-
25
-
-
0003497041
-
-
PhD thesis, Department of Mathematics, Massachusetts Institute of Technology, Cambridge, MA
-
A. Edelman (1989), Eigenvalues and condition numbers of random matrices, PhD thesis, Department of Mathematics, Massachusetts Institute of Technology, Cambridge, MA.
-
(1989)
Eigenvalues and Condition Numbers of Random Matrices
-
-
Edelman, A.1
-
26
-
-
0031068715
-
The probability that a random real Gaussian matrix has k real eigenvalues, related distributions, and the circular law
-
A. Edelman (1997), 'The probability that a random real Gaussian matrix has k real eigenvalues, related distributions, and the circular law', J. Multivar. Anal. 60, 203-232.
-
(1997)
J. Multivar. Anal.
, vol.60
, pp. 203-232
-
-
Edelman, A.1
-
27
-
-
28444445742
-
Numerical methods for random matrices
-
Massachusetts Institute of Technology: arXiV.org/abs/math-ph/0501068
-
A. Edelman and P.-O. Persson (2002), Numerical methods for random matrices. Technical report, Massachusetts Institute of Technology: arXiV.org/abs/math-ph/0501068.
-
(2002)
Technical Report
-
-
Edelman, A.1
Persson, P.-O.2
-
30
-
-
0003864328
-
-
McGraw-Hill, New York/Toronto/London
-
A. Erdélyi, W. Magnus, F. Oberhettinger and F. G. Tricomi (1955), Higher Transcendental Functions, Vol. III, McGraw-Hill, New York/Toronto/London.
-
(1955)
Higher Transcendental Functions
, vol.3
-
-
Erdélyi, A.1
Magnus, W.2
Oberhettinger, F.3
Tricomi, F.G.4
-
31
-
-
0003864328
-
-
Robert E. Krieger, Melbourne, FL. Reprint of the 1953 original
-
A. Erdélyi, W. Magnus, F. Oberhettinger and F. G. Tricomi (1981a), Higher Transcendental Functions, Vol. I, Robert E. Krieger, Melbourne, FL. Reprint of the 1953 original.
-
(1981)
Higher Transcendental Functions
, vol.1
-
-
Erdélyi, A.1
Magnus, W.2
Oberhettinger, F.3
Tricomi, F.G.4
-
32
-
-
0003864328
-
-
Robert E. Krieger, Melbourne, FL. Reprint of the 1953 original
-
A. Erdélyi, W. Magnus, F. Oberhettinger and F. G. Tricomi (1981b), Higher Transcendental Functions, Vol. II, Robert E. Krieger, Melbourne, FL. Reprint of the 1953 original.
-
(1981)
Higher Transcendental Functions
, vol.2
-
-
Erdélyi, A.1
Magnus, W.2
Oberhettinger, F.3
Tricomi, F.G.4
-
33
-
-
0031551792
-
Non-Hermitian random matrix theory: Method of Hermitian reduction
-
J. Feinberg and A. Zee (1997), 'Non-Hermitian random matrix theory: method of Hermitian reduction', Nuclear Phys. B 504(3), 579-608.
-
(1997)
Nuclear Phys. B
, vol.504
, Issue.3
, pp. 579-608
-
-
Feinberg, J.1
Zee, A.2
-
34
-
-
0010086153
-
Painlevé transcendent evaluation of the scaled distribution of the smallest eigenvalue in the Laguerre orthogonal and symplectic ensembles
-
P. J. Forrester (2000), Painlevé transcendent evaluation of the scaled distribution of the smallest eigenvalue in the Laguerre orthogonal and symplectic ensembles. Technical report: www.lanl.gov, arXiV.org/nlin.SI/0005064.
-
(2000)
Technical Report
-
-
Forrester, P.J.1
-
36
-
-
4444282912
-
Application of the r-function theory of Painlevé equations to random matrices: PVI, the JUE, CyUE, cJUE and scaled limits
-
P. J. Forrester and N. S. Witte (2004), 'Application of the r-function theory of Painlevé equations to random matrices: PVI, the JUE, CyUE, cJUE and scaled limits', Nagoya Math. J. 174, 29-114.
-
(2004)
Nagoya Math. J.
, vol.174
, pp. 29-114
-
-
Forrester, P.J.1
Witte, N.S.2
-
37
-
-
4243883592
-
Almost-Hermitian random matrices: Crossover from Wigner-Dyson to Ginibre eigenvalue statistics
-
Y. Fyodorov, B. A. Khoruzhenko and H.-J. Sommers (1997), 'Almost-Hermitian random matrices: Crossover from Wigner-Dyson to Ginibre eigenvalue statistics', Phys. Rev. Lett. 79, 557-560.
-
(1997)
Phys. Rev. Lett.
, vol.79
, pp. 557-560
-
-
Fyodorov, Y.1
Khoruzhenko, B.A.2
Sommers, H.-J.3
-
38
-
-
0003631756
-
-
AMS Chelsea Publishing, Providence, RI. Translation based on the 1941 Russian original
-
F. P. Gantmacher and M. G. Krein (2002), Oscillation Matrices and Kernels and Small Vibrations of Mechanical Systems, revised edn, AMS Chelsea Publishing, Providence, RI. Translation based on the 1941 Russian original.
-
(2002)
Oscillation Matrices and Kernels and Small Vibrations of Mechanical Systems, Revised Edn
-
-
Gantmacher, F.P.1
Krein, M.G.2
-
39
-
-
85014479701
-
Orthogonal polynomials: Applications and computation
-
Cambridge University Press
-
W. Gautschi (1996), Orthogonal polynomials: Applications and computation, in Acta Numerica, Vol. 5, Cambridge University Press, pp. 45-119.
-
(1996)
Acta Numerica
, vol.5
, pp. 45-119
-
-
Gautschi, W.1
-
40
-
-
19844383019
-
The circular law: Ten years later
-
V. L. Girko (1994), 'The circular law: ten years later', Random Oper. Stock. Equations 2, 235-276, 377-398.
-
(1994)
Random Oper. Stock. Equations
, vol.2
, pp. 235-276
-
-
Girko, V.L.1
-
42
-
-
0002451703
-
Eigenvalue curves of asymmetric tridiagonal random matrices
-
electronic
-
I. Y. Goldsheid and B. A. Khoruzhenko (2000), 'Eigenvalue curves of asymmetric tridiagonal random matrices', Electron. J. Probab. 5, # 16 (electronic).
-
(2000)
Electron. J. Probab.
, vol.5
, Issue.16
-
-
Goldsheid, I.Y.1
Khoruzhenko, B.A.2
-
43
-
-
0000288016
-
Calculating the singular values and pseudo-inverse of a matrix
-
G. Golub and W. Kahan (1965), 'Calculating the singular values and pseudo-inverse of a matrix', SIAM J. Numer. Anal. 2, 205-224.
-
(1965)
SIAM J. Numer. Anal.
, vol.2
, pp. 205-224
-
-
Golub, G.1
Kahan, W.2
-
44
-
-
84964927565
-
-
California Monographs in Mathematical Sciences, University of California Press, Berkeley
-
U. Grenander and G. Szegö (1958), Toeplitz Forms and their Applications, California Monographs in Mathematical Sciences, University of California Press, Berkeley.
-
(1958)
Toeplitz Forms and Their Applications
-
-
Grenander, U.1
Szegö, G.2
-
45
-
-
0000188093
-
Some combinatorial aspects of the spectra of normally distributed random matrices
-
Hypergeometric Functions on Domains of Positivity, Jack Polynomials, and Applications: Tampa, FL, 1991, AMS, Providence, RI
-
P. J. Hanlon, R. P. Stanley and J. R. Stembridge (1992), Some combinatorial aspects of the spectra of normally distributed random matrices, in Hypergeometric Functions on Domains of Positivity, Jack Polynomials, and Applications: Tampa, FL, 1991, Vol. 138 of Contemp. Math., AMS, Providence, RI, pp. 151-174.
-
(1992)
Contemp. Math.
, vol.138
, pp. 151-174
-
-
Hanlon, P.J.1
Stanley, R.P.2
Stembridge, J.R.3
-
47
-
-
0000652188
-
Unitary triangularization of a nonsymmetric matrix
-
A. S. Householder (1958), 'Unitary triangularization of a nonsymmetric matrix', J. Assoc. Comput. Mach. 5, 339-342.
-
(1958)
J. Assoc. Comput. Mach.
, vol.5
, pp. 339-342
-
-
Householder, A.S.1
-
48
-
-
0035873635
-
Random words, Toeplitz determinants and integrable systems II
-
A. Its, C. A. Tracy and H. Widom (2001), 'Random words, Toeplitz determinants and integrable systems II', Physica 152-153D, 199-224.
-
(2001)
Physica
, vol.152-153 D
, pp. 199-224
-
-
Its, A.1
Tracy, C.A.2
Widom, H.3
-
50
-
-
0001820970
-
A class of symmetric polynomials with a parameter
-
H. Jack (1970), 'A class of symmetric polynomials with a parameter', Proc. R. Soc. Edinburgh 69, 1-18.
-
(1970)
Proc. R. Soc. Edinburgh
, vol.69
, pp. 1-18
-
-
Jack, H.1
-
51
-
-
0000952005
-
Distributions of matrix variates and latent roots derived from normal samples
-
A. T. James (1964), 'Distributions of matrix variates and latent roots derived from normal samples', Ann. Math. Stat. 35, 475-501.
-
(1964)
Ann. Math. Stat.
, vol.35
, pp. 475-501
-
-
James, A.T.1
-
53
-
-
0034340689
-
Shape fluctuations and random matrices
-
K. Johansson (2000b), 'Shape fluctuations and random matrices', Comm. Math. Phys. 209, 437-476.
-
(2000)
Comm. Math. Phys.
, vol.209
, pp. 437-476
-
-
Johansson, K.1
-
54
-
-
0035641726
-
On the distribution of the largest eigenvalue in principal components analysis
-
I. M. Johnstone (2001), 'On the distribution of the largest eigenvalue in principal components analysis', Ann. Statist. 29(2), 295-327.
-
(2001)
Ann. Statist.
, vol.29
, Issue.2
, pp. 295-327
-
-
Johnstone, I.M.1
-
55
-
-
0001967458
-
Some limit theorems for the eigenvalues of a sample covariance matrix
-
D. Jonsson (1982), 'Some limit theorems for the eigenvalues of a sample covariance matrix', J. Multivar. Anal. 12, 1-38.
-
(1982)
J. Multivar. Anal.
, vol.12
, pp. 1-38
-
-
Jonsson, D.1
-
56
-
-
0003242243
-
Brownian motion and stochastic calculus
-
Springer, New York
-
I. Karatzas and S. E. Shreve (1991), Brownian Motion and Stochastic Calculus, Vol. 113 of Graduate Texts in Mathematics, second edn, Springer, New York.
-
(1991)
Graduate Texts in Mathematics, Second Edn
, vol.113
-
-
Karatzas, I.1
Shreve, S.E.2
-
57
-
-
8644242358
-
Matrix models for circular ensembles
-
R. Killip and I. Nenciu (2004), 'Matrix models for circular ensembles', Int. Math. Research Notices 50, 2665-2701.
-
(2004)
Int. Math. Research Notices
, vol.50
, pp. 2665-2701
-
-
Killip, R.1
Nenciu, I.2
-
58
-
-
0031501912
-
A recursion and a combinatorial formula for Jack polynomials
-
F. Knop and S. Sahi (1997), 'A recursion and a combinatorial formula for Jack polynomials', Invent. Math. 128(1), 9-22.
-
(1997)
Invent. Math.
, vol.128
, Issue.1
, pp. 9-22
-
-
Knop, F.1
Sahi, S.2
-
61
-
-
0034353662
-
Which eigenvalues are found by the Lanczos method?
-
electronic
-
A. B. J. Kuijlaars (2000), 'Which eigenvalues are found by the Lanczos method?', SIAM J. Matrix Anal. Appl. 22(1), 306-321 (electronic).
-
(2000)
SIAM J. Matrix Anal. Appl.
, vol.22
, Issue.1
, pp. 306-321
-
-
Kuijlaars, A.B.J.1
-
62
-
-
0344509265
-
Riemann-Hilbert analysis for orthogonal polynomials
-
Orthogonal Polynomials and Special Functions: Leuven, 2002, Springer, Berlin
-
A. B. J. Kuijlaars (2003), Riemann-Hilbert analysis for orthogonal polynomials, in Orthogonal Polynomials and Special Functions: Leuven, 2002, Vol. 1817 of Lecture Notes in Mathematics, Springer, Berlin, pp. 167-210.
-
(2003)
Lecture Notes in Mathematics
, vol.1817
, pp. 167-210
-
-
Kuijlaars, A.B.J.1
-
63
-
-
0034398875
-
Generic behavior of the density of states in random matrix theory and equilibrium problems in the presence of real analytic external fields
-
A. Kuijlaars and K. T.-R. McLaughlin (2000), 'Generic behavior of the density of states in random matrix theory and equilibrium problems in the presence of real analytic external fields', Comm. Pure Appl. Math. 53, 736-785.
-
(2000)
Comm. Pure Appl. Math.
, vol.53
, pp. 736-785
-
-
Kuijlaars, A.1
McLaughlin, K.T.-R.2
-
64
-
-
0142136715
-
A matrix model for the β-Jacobi ensemble
-
R. A. Lippert (2003), 'A matrix model for the β-Jacobi ensemble', J. Math. Phys. 44(10), 4807-4816.
-
(2003)
J. Math. Phys.
, vol.44
, Issue.10
, pp. 4807-4816
-
-
Lippert, R.A.1
-
65
-
-
0001110442
-
Some conjectures for root systems
-
I. Macdonald (1982), 'Some conjectures for root systems', SIAM J. Math. Anal. 13, 998-1004.
-
(1982)
SIAM J. Math. Anal.
, vol.13
, pp. 998-1004
-
-
Macdonald, I.1
-
67
-
-
0000294458
-
The expected eigenvalue distribution of a large regular graph
-
B. D. McKay (1981), 'The expected eigenvalue distribution of a large regular graph', Linear Algebra Appl. 40, 203-216.
-
(1981)
Linear Algebra Appl.
, vol.40
, pp. 203-216
-
-
McKay, B.D.1
-
68
-
-
0000263234
-
Distribution of eigenvalues for some sets of random matrices
-
V. Marčenko and L. Pastur (1967), 'Distribution of eigenvalues for some sets of random matrices', Math USSR Sbornik 1, 457-483.
-
(1967)
Math USSR Sbornik
, vol.1
, pp. 457-483
-
-
Marčenko, V.1
Pastur, L.2
-
70
-
-
0034347390
-
Statistical properties of eigenvectors in non-Hermitian Gaussian random matrix ensembles
-
B. Mehlig and J. T. Chalker (2000), 'Statistical properties of eigenvectors in non-Hermitian Gaussian random matrix ensembles', J. Math. Phys. 41(5), 3233-3256.
-
(2000)
J. Math. Phys.
, vol.41
, Issue.5
, pp. 3233-3256
-
-
Mehlig, B.1
Chalker, J.T.2
-
72
-
-
0003270948
-
Asymptotic theory of finite dimensional normed spaces
-
Springer
-
V. D. Milman and G. Schechtman (1986), Asymptotic Theory of Finite Dimensional Normed Spaces, Vol. 1200 of Lecture Notes in Mathematics, Springer.
-
(1986)
Lecture Notes in Mathematics
, vol.1200
-
-
Milman, V.D.1
Schechtman, G.2
-
75
-
-
0039864907
-
On longest increasing subsequences in random permutations
-
AT&T Laboratories
-
A. Odlyzko and E. Rains (1998), On longest increasing subsequences in random permutations. Technical report, AT&T Laboratories.
-
(1998)
Technical Report
-
-
Odlyzko, A.1
Rains, E.2
-
76
-
-
0009985251
-
Note on "the Jacobians of certain matrix transformations useful in multivariate analysis"
-
I. Olkin (1953), 'Note on "The Jacobians of certain matrix transformations useful in multivariate analysis"', Biometrika 40, 43-46.
-
(1953)
Biometrika
, vol.40
, pp. 43-46
-
-
Olkin, I.1
-
77
-
-
84983296191
-
The 70th anniversary of the distribution of random matrices: A survey
-
I. Olkin (2002), 'The 70th anniversary of the distribution of random matrices: a survey', Linear Algebra Appl. 354, 231-243.
-
(2002)
Linear Algebra Appl.
, vol.354
, pp. 231-243
-
-
Olkin, I.1
-
78
-
-
10044262136
-
Increasing subsequences and the classical groups
-
electronic
-
E. M. Rains (1998), 'Increasing subsequences and the classical groups', Electron. J. Combin. 5, # 12 (electronic).
-
(1998)
Electron. J. Combin.
, vol.5
, Issue.12
-
-
Rains, E.M.1
-
81
-
-
0038568622
-
Density of states of a sparse random matrix
-
G. J. Rodgers and A. J. Bray (1988), 'Density of states of a sparse random matrix', Phys. Rev. B (3) 37(7), 3557-3562.
-
(1988)
Phys. Rev. B (3)
, vol.37
, Issue.7
, pp. 3557-3562
-
-
Rodgers, G.J.1
Bray, A.J.2
-
84
-
-
0037076813
-
Sparse random matrices: The eigenvalue spectrum revisited
-
G. Semerjian and L. F. Cugliandolo (2002), 'Sparse random matrices: the eigenvalue spectrum revisited', J. Phys. A 35(23), 4837-4851.
-
(2002)
J. Phys. A
, vol.35
, Issue.23
, pp. 4837-4851
-
-
Semerjian, G.1
Cugliandolo, L.F.2
-
85
-
-
0035581413
-
On the singular values of Gaussian random matrices
-
J. Shen (2001), 'On the singular values of Gaussian random matrices', Linear Algebra Appl. 326(1-3), 1-14.
-
(2001)
Linear Algebra Appl.
, vol.326
, Issue.1-3
, pp. 1-14
-
-
Shen, J.1
-
86
-
-
0001629248
-
The smallest eigenvalue of a large-dimensional Wishart matrix
-
J. W. Silverstein (1985), 'The smallest eigenvalue of a large-dimensional Wishart matrix', Ann. Probab. 13(4), 1364-1368.
-
(1985)
Ann. Probab.
, vol.13
, Issue.4
, pp. 1364-1368
-
-
Silverstein, J.W.1
-
87
-
-
0001427422
-
Eigenvalues and eigenvectors of large dimensional sample covariance matrices
-
chapter in AMS, Providence, RI
-
J. W. Silverstein (1986), Eigenvalues and eigenvectors of large dimensional sample covariance matrices, chapter in Random Matrices and their Applications, AMS, Providence, RI, pp. 153-159.
-
(1986)
Random Matrices and Their Applications
, pp. 153-159
-
-
Silverstein, J.W.1
-
88
-
-
0033473406
-
Universality at the edge of the spectrum in Wigner random matrices
-
A. Soshnikov (1999), 'Universality at the edge of the spectrum in Wigner random matrices', Comm. Math. Phys. 207, 697-733.
-
(1999)
Comm. Math. Phys.
, vol.207
, pp. 697-733
-
-
Soshnikov, A.1
-
90
-
-
19844366991
-
Free probability theory and random matrices
-
Asymptotic Combinatorics with Applications to Mathematical Physics: St. Petersburg, 2001, Springer, Berlin
-
R. Speicher (2003), Free probability theory and random matrices, in Asymptotic Combinatorics with Applications to Mathematical Physics: St. Petersburg, 2001, Vol. 1815 of Lecture Notes in Mathematics, Springer, Berlin, pp. 53-73.
-
(2003)
Lecture Notes in Mathematics
, vol.1815
, pp. 53-73
-
-
Speicher, R.1
-
93
-
-
45249131043
-
Some combinatorial properties of Jack symmetric functions
-
R. P. Stanley (1989), 'Some combinatorial properties of Jack symmetric functions', Adv. Math. 77, 76-115.
-
(1989)
Adv. Math.
, vol.77
, pp. 76-115
-
-
Stanley, R.P.1
-
94
-
-
0000485973
-
The efficient generation of random orthogonal matrices with an application to condition estimators
-
loose microfiche suppl
-
G. W. Stewart (1980), 'The efficient generation of random orthogonal matrices with an application to condition estimators', SIAM J. Numer. Anal. 17(3), 403-409 (loose microfiche suppl).
-
(1980)
SIAM J. Numer. Anal.
, vol.17
, Issue.3
, pp. 403-409
-
-
Stewart, G.W.1
-
96
-
-
19844376992
-
-
Soliton Laboratory, Chronology of Mathematics
-
K. Takasaki (2000), 'Painlevé equations', Soliton Laboratory, Chronology of Mathematics: www.math.h.kyoto-u.ac.jp/~takasaki/soliton-lab/chron/ painleve.html.
-
(2000)
Painlevé Equations
-
-
Takasaki, K.1
-
97
-
-
0000649044
-
Introduction to random matrices
-
Geometric and Quantum Aspects of Integrable Systems (G. Helminck, ed.), Springer, Berlin
-
C. A. Tracy and H. Widom (1993), Introduction to random matrices, in Geometric and Quantum Aspects of Integrable Systems (G. Helminck, ed.), Vol. 424 of Lecture Notes in Physics, Springer, Berlin, pp. 103-130.
-
(1993)
Lecture Notes in Physics
, vol.424
, pp. 103-130
-
-
Tracy, C.A.1
Widom, H.2
-
98
-
-
0003025563
-
Fredholm determinants, differential equations and matrix models
-
C. A. Tracy and H. Widom (1994a), 'Fredholm determinants, differential equations and matrix models', Comm. Math. Phys. 163, 33-72.
-
(1994)
Comm. Math. Phys.
, vol.163
, pp. 33-72
-
-
Tracy, C.A.1
Widom, H.2
-
99
-
-
0342395256
-
Level-spacing distributions and the Bessel kernel
-
C. A. Tracy and H. Widom (1994b), 'Level-spacing distributions and the Bessel kernel', Comm. Math. Phys. 161, 289-310.
-
(1994)
Comm. Math. Phys.
, vol.161
, pp. 289-310
-
-
Tracy, C.A.1
Widom, H.2
-
100
-
-
0032163852
-
Correlation functions, cluster functions and spacing distributions for random matrices
-
C. A. Tracy and H. Widom (1998), 'Correlation functions, cluster functions and spacing distributions for random matrices', J. Statist. Phys. 92, 809-835.
-
(1998)
J. Statist. Phys.
, vol.92
, pp. 809-835
-
-
Tracy, C.A.1
Widom, H.2
-
101
-
-
0039990549
-
The distribution of the largest eigenvalue in the Gaussian ensembles
-
Calogero-Moser-Sutherland Models, (J. van Diejen and L. Vinet, eds), Springer, Berlin
-
C. A. Tracy and H. Widom (2000a), The distribution of the largest eigenvalue in the Gaussian ensembles, in Calogero-Moser-Sutherland Models, Vol. 4 of CRM Series in Mathematical Physics (J. van Diejen and L. Vinet, eds), Springer, Berlin, pp. 461-472.
-
(2000)
CRM Series in Mathematical Physics
, vol.4
, pp. 461-472
-
-
Tracy, C.A.1
Widom, H.2
-
102
-
-
0001683904
-
Universality of the distribution functions of random matrix theory II
-
Integrable Systems: From Classical to Quantum (J. Harnad, G. Sabidussi and P. Winternitz, eds), AMS, Providence
-
C. A. Tracy and H. Widom (2000b), Universality of the distribution functions of random matrix theory II, in Integrable Systems: From Classical to Quantum (J. Harnad, G. Sabidussi and P. Winternitz, eds), Vol. 26 of CRM Proceedings & Lecture Notes, AMS, Providence, pp. 251-264.
-
(2000)
CRM Proceedings & Lecture Notes
, vol.26
, pp. 251-264
-
-
Tracy, C.A.1
Widom, H.2
-
103
-
-
0035634442
-
On the distributions of the lengths of the longest monotone subsequences in random words
-
C. A. Tracy and H. Widom (2001), 'On the distributions of the lengths of the longest monotone subsequences in random words', Probab. Theory Rel. Fields 119, 350-380.
-
(2001)
Probab. Theory Rel. Fields
, vol.119
, pp. 350-380
-
-
Tracy, C.A.1
Widom, H.2
-
106
-
-
0000429790
-
Average-case stability of Gaussian elimination
-
L. N. Trefethen and R. S. Schreiber (1990), 'Average-case stability of Gaussian elimination', SIAM J. Matrix Anal. Appl. 11(3), 335-360.
-
(1990)
SIAM J. Matrix Anal. Appl.
, vol.11
, Issue.3
, pp. 335-360
-
-
Trefethen, L.N.1
Schreiber, R.S.2
-
107
-
-
0035582035
-
Spectra, pseudospectra, and localization for random bidiagonal matrices
-
L. N. Trefethen, M. Contedini and M. Embree (2001), 'Spectra, pseudospectra, and localization for random bidiagonal matrices', Comm. Pure Appl. Math. 54(5), 595-623.
-
(2001)
Comm. Pure Appl. Math.
, vol.54
, Issue.5
, pp. 595-623
-
-
Trefethen, L.N.1
Contedini, M.2
Embree, M.3
-
108
-
-
0011438216
-
Eigenvalue distributions of large Hermitian matrices; Wigner's semi-circle law and a theorem of Kac, Murdock, and Szegö
-
H. F. Trotter (1984), 'Eigenvalue distributions of large Hermitian matrices; Wigner's semi-circle law and a theorem of Kac, Murdock, and Szegö', Adv. Math. 54, 67-82.
-
(1984)
Adv. Math.
, vol.54
, pp. 67-82
-
-
Trotter, H.F.1
-
109
-
-
0034320029
-
The ubiquitous Kronecker product
-
C. F. Van Loan (2000), 'The ubiquitous Kronecker product', J. Comput. Appl. Math. 123(1-2), 85-100.
-
(2000)
J. Comput. Appl. Math.
, vol.123
, Issue.1-2
, pp. 85-100
-
-
Van Loan, C.F.1
-
110
-
-
0000789087
-
Integrable lattices: Random matrices and random permutations
-
MSRI Publications, Cambridge University Press, Cambridge
-
P. van Moerbeke (2001), Integrable lattices: random matrices and random permutations, in Random Matrices and their Applications, MSRI Publications, Cambridge University Press, Cambridge.
-
(2001)
Random Matrices and Their Applications
-
-
Van Moerbeke, P.1
-
111
-
-
21144459737
-
The prolate matrix
-
J. M. Varah (1993), 'The prolate matrix', Linear Algebra Appl. 187, 269-278.
-
(1993)
Linear Algebra Appl.
, vol.187
, pp. 269-278
-
-
Varah, J.M.1
-
112
-
-
0032394355
-
Condition numbers of random triangular matrices
-
electronic
-
D. Viswanath and L. N. Trefethen (1998), 'Condition numbers of random triangular matrices', SIAM J. Matrix Anal. Appl. 19(2), 564-581 (electronic).
-
(1998)
SIAM J. Matrix Anal. Appl.
, vol.19
, Issue.2
, pp. 564-581
-
-
Viswanath, D.1
Trefethen, L.N.2
-
113
-
-
0004195394
-
-
AMS, Providence, RI
-
D. V. Voiculescu, K. J. Dykema and A. Nica (1992), Free Random Variables, AMS, Providence, RI.
-
(1992)
Free Random Variables
-
-
Voiculescu, D.V.1
Dykema, K.J.2
Nica, A.3
-
114
-
-
19844376991
-
Collected works
-
(A. H. Taub, ed.), Pergamon Press, Macmillan, New York
-
J. von Neumann (1963), Collected Works, Vol. V: Design of Computers, Theory of Automata and Numerical Analysis (A. H. Taub, ed.), Pergamon Press, Macmillan, New York.
-
(1963)
Design of Computers, Theory of Automata and Numerical Analysis
, vol.5
-
-
Von Neumann, J.1
-
115
-
-
0001252659
-
Numerical inverting of matrices of high order
-
J. von Neumann and H. H. Goldstine (1947), 'Numerical inverting of matrices of high order', Bull. Amer. Math. Soc. 53, 1021-1099.
-
(1947)
Bull. Amer. Math. Soc.
, vol.53
, pp. 1021-1099
-
-
Von Neumann, J.1
Goldstine, H.H.2
-
116
-
-
84965151826
-
-
From MathWorld, A Wolfram Web Resource
-
E. W. Weisstein (2005), 'Special function', From MathWorld, A Wolfram Web Resource: http://mathworld.wolfram.com/SpecialFunction.html
-
(2005)
Special Function
-
-
Weisstein, E.W.1
-
117
-
-
0000840166
-
Characteristic vectors of bordered matrices with infinite dimensions
-
E. P. Wigner (1955), 'Characteristic vectors of bordered matrices with infinite dimensions', Ann. Math. 62, 548-564.
-
(1955)
Ann. Math.
, vol.62
, pp. 548-564
-
-
Wigner, E.P.1
-
118
-
-
0001560594
-
On the distribution of the roots of certain symmetric matrices
-
E. P. Wigner (1958), 'On the distribution of the roots of certain symmetric matrices', Ann. Math. 67, 325-327.
-
(1958)
Ann. Math.
, vol.67
, pp. 325-327
-
-
Wigner, E.P.1
-
119
-
-
0002125597
-
The generalized product moment distribution in samples from a normal multivariate population
-
J. Wishart (1928), 'The generalized product moment distribution in samples from a normal multivariate population', Biometrika 20A, 32-52.
-
(1928)
Biometrika
, vol.20 A
, pp. 32-52
-
-
Wishart, J.1
-
120
-
-
8144226967
-
-
T. G. Wright (2000), 'EigTool': www.comlab.ox.ac.uk/projects/ pseudospectra/eigtool.
-
(2000)
EigTool
-
-
Wright, T.G.1
-
121
-
-
0031513922
-
Probabilistic analysis of Gaussian elimination without pivoting
-
M.-C. Yeung and T. F. Chan (1997), 'Probabilistic analysis of Gaussian elimination without pivoting', SIAM J. Matrix Anal. Appl. 18 (2), 499-517.
-
(1997)
SIAM J. Matrix Anal. Appl.
, vol.18
, Issue.2
, pp. 499-517
-
-
Yeung, M.-C.1
Chan, T.F.2
-
122
-
-
0030515852
-
Riemannian symmetric superspaces and their origin in random-matrix theory
-
M. R. Zirnbauer (1996), 'Riemannian symmetric superspaces and their origin in random-matrix theory', J. Math. Phys. 37(10), 4986-5018.
-
(1996)
J. Math. Phys.
, vol.37
, Issue.10
, pp. 4986-5018
-
-
Zirnbauer, M.R.1
|