-
1
-
-
0242279604
-
On the asymptotic distribution of eighenvalues of random matrices
-
L. ARNOLD, On the asymptotic distribution of eighenvalues of random matrices, J. Math. Anal. Appl. 20 (1967), 262-268.
-
(1967)
J. Math. Anal. Appl.
, vol.20
, pp. 262-268
-
-
Arnold, L.1
-
2
-
-
0030295693
-
Minimal factorizations of a cycle and central multiplicative functions on the infinite symmetric group
-
DOI 10.1006/jcta.1996.0101
-
PH. BIANE, Minimal Factorizations of a Cycle and Central Multiplicative Functions on the Infinite Symmetric Group, J. Combin. Theory Ser. A76 (1996), DOI 10.1006/jcta.1996.0101, 197-212, http://dx.doi.org/10.1006/jcta.1996.0101.
-
(1996)
J. Combin. Theory Ser. A
, vol.76
, pp. 197-212
-
-
Biane, Ph.1
-
3
-
-
0002964353
-
Some properties of crossings and partitions
-
DOI 10.1016/S0012-365X(96)00139-2
-
_, Some properties of crossings and partitions, Discrete Math. 175 (1997), DOI 10.1016/S0012-365X(96)00139-2, 41-53, http://dx.doi.org/10.1016/ S0012-365X(96)00139-2.
-
(1997)
Discrete Math.
, vol.175
, pp. 41-53
-
-
-
4
-
-
0030523218
-
The Lukacs-Olkin-Rubin characterization of Wishart distributions on symmetric cones
-
DOI 10.1214/aos/1032894464
-
M. CASALIS and G. LETAC, The Lukacs-Olkin-Rubin characterization of Wishart distributions on symmetric cones, Ann. Statist. 24 (1996), DOI 10.1214/aos/1032894464, 763-786, http://dx.doi.org/10.1214/aos/1032894464.
-
(1996)
Ann. Statist.
, vol.24
, pp. 763-786
-
-
Casalis, M.1
Letac, G.2
-
5
-
-
38249006458
-
On certain free product factors via an extended matrix model
-
DOI 10.1006/jfan.1993.1025
-
K.J. DYKEMA, On certain free product factors via an extended matrix model, J. Funct. Anal. 112 (1993), DOI 10.1006/jfan.1993.1025, 31-60, http://dx.doi.org/10.1006/jfan.1993.1025.
-
(1993)
J. Funct. Anal.
, vol.112
, pp. 31-60
-
-
Dykema, K.J.1
-
6
-
-
0035541306
-
Invariant subspaces of Voiculescu's circular operator
-
K.J. DYKEMA and U. HAAGERUP, Invariant subspaces of Voiculescu's circular operator, Geom. Funct. Anal. 11 (2001), 693-741.
-
(2001)
Geom. Funct. Anal.
, vol.11
, pp. 693-741
-
-
Dykema, K.J.1
Haagerup, U.2
-
7
-
-
21144454921
-
The complex Wishart distribution and the symmetric group
-
DOI 10.1214/aos/1046294466
-
P. GRACZYK, G. LETAC, and H. MASSAM, The complex Wishart distribution and the symmetric group, The Annals of Statistics 31 (2003), DOI 10.1214/aos/1046294466, 287-309, http://dx.doi.org/10.1214/aos/1046294466.
-
(2003)
The Annals of Statistics
, vol.31
, pp. 287-309
-
-
Graczyk, P.1
Letac, G.2
Massam, H.3
-
8
-
-
0001398639
-
Spectral analysis of netsworks with random topologies
-
U. GRENANDER and J.W. SILVERSTEIN, Spectral analysis of netsworks with random topologies, SIAM J. of Applied Math. 32 (1977), 499-519.
-
(1977)
SIAM J. of Applied Math.
, vol.32
, pp. 499-519
-
-
Grenander, U.1
Silverstein, J.W.2
-
9
-
-
2642557107
-
Random matrices with complex gaussian entries
-
U. HAAGERUP and S. THORBJØRNSEN, Random Matrices with Complex Gaussian Entries, Expositiones Math. 21 (2003), 293-337.
-
(2003)
Expositiones Math.
, vol.21
, pp. 293-337
-
-
Haagerup, U.1
Thorbjørnsen, S.2
-
10
-
-
0000430358
-
The euler characteristic of the modulo space of curves
-
J. HARER and D. ZAGIER, The Euler characteristic of the modulo space of curves, Invent. Math. 85 (1986), 457-485.
-
(1986)
Invent. Math.
, vol.85
, pp. 457-485
-
-
Harer, J.1
Zagier, D.2
-
11
-
-
0001454616
-
Asymptotic freeness almost everywhere for random matrices
-
F. HIAI and D. PETZ, Asymptotic freeness almost everywhere for random matrices, Acta Sci. Math. (Szeged) 66 (2000), 309-334.
-
(2000)
Acta Sci. Math. (Szeged)
, vol.66
, pp. 309-334
-
-
Hiai, F.1
Petz, D.2
-
12
-
-
0005141929
-
The semicircle law free random variables entropy
-
American Mathematical Society, Providence, RI, ISBN 0-8218-2081-8
-
_, The Semicircle Law, Free Random Variables and Entropy, Mathematical Surveys and Monographs, vol. 77, American Mathematical Society, Providence, RI, 2000, ISBN 0-8218-2081-8.
-
(2000)
Mathematical Surveys and Monographs
, vol.77
-
-
-
13
-
-
0001967458
-
Some limit theorems for eigenvalues of a sample covariance matrix
-
D. JONSSON, Some Limit Theorems for Eigenvalues of a Sample Covariance Matrix, J. Multivariate Analysis 12 (1982), 1-38.
-
(1982)
J. Multivariate Analysis
, vol.12
, pp. 1-38
-
-
Jonsson, D.1
-
14
-
-
0000513203
-
Sur les partitions non-croisées d'un cycle
-
DOI 10.1016/0012-365X(72)90041-6
-
G. KREWERAS, Sur les partitions non-croisées d'un cycle, Discrete Math. 1 (1972), DOI 10.1016/0012-365X(72)90041-6, 333-350, http://dx.doi.org/10. 1016/0012-365X(72)90041-6.
-
(1972)
Discrete Math.
, vol.1
, pp. 333-350
-
-
Kreweras, G.1
-
15
-
-
0001009889
-
On the multiplication of free N-uples of noncommutative random variables
-
A. NICA and R. SPEICHER, On the multiplication of free N-uples of noncommutative random variables, Am. J. Math. 118 (1996), 799-837.
-
(1996)
Am. J. Math.
, vol.118
, pp. 799-837
-
-
Nica, A.1
Speicher, R.2
-
16
-
-
0039659644
-
On the eigenvalue distribution of some symmetric random matrices
-
F. ORAVECZ and D. PETZ, On the eigenvalue distribution of some symmetric random matrices, Acta Sci. Math. (Szeged) 63 (1997), 383-395.
-
(1997)
Acta Sci. Math. (Szeged)
, vol.63
, pp. 383-395
-
-
Oravecz, F.1
Petz, D.2
-
17
-
-
0000389050
-
A characterization of the Wishart distribution
-
I. OLKIN and H. RUBIN, A characterization of the Wishart distribution, Ann. Math. Statist. 33 (1962), 1272-1280.
-
(1962)
Ann. Math. Statist.
, vol.33
, pp. 1272-1280
-
-
Olkin, I.1
Rubin, H.2
-
18
-
-
0000715637
-
Multivariate Beta distributions and independence properties of the Wishart distribution
-
_, Multivariate Beta distributions and independence properties of the Wishart distribution, Ann. Math. Statist. 35 (1964), 261-269.
-
(1964)
Ann. Math. Statist.
, vol.35
, pp. 261-269
-
-
-
19
-
-
0003320835
-
Representations of finite and compact groups
-
American Mathematical Society, Providence, RI, ISBN 0-8218-0453-7
-
B. SIMON, Representations of Finite and Compact Groups, Graduate Studies in Mathematics, vol. 10, American Mathematical Society, Providence, RI, 1996, ISBN 0-8218-0453-7.
-
(1996)
Graduate Studies in Mathematics
, vol.10
-
-
Simon, B.1
-
20
-
-
0013120966
-
Limit distributions of matrices with bosonic and fermionic entries
-
Free Probability Theory (Waterloo, ON, 1995) (D. V. Voiculescu, ed.), American Mathematical Society, Providence, RI
-
D. SHLYAKHTENKO, Limit distributions of matrices with bosonic and fermionic entries, Free Probability Theory (Waterloo, ON, 1995) (D. V. Voiculescu, ed.), Fields Inst. Commun., vol. 12, American Mathematical Society, Providence, RI, 1997, pp. 241-252.
-
(1997)
Fields Inst. Commun.
, vol.12
, pp. 241-252
-
-
Shlyakhtenko, D.1
-
21
-
-
0038902037
-
Multiplicative functions on the lattice of non-crossing partitions and free convolution
-
R. SPEICHER, Multiplicative functions on the lattice of non-crossing partitions and free convolution, Math. Ann. 298 (1994), 611-628.
-
(1994)
Math. Ann.
, vol.298
, pp. 611-628
-
-
Speicher, R.1
-
22
-
-
0344023826
-
Enumerative combinatorics, volume 1
-
Cambridge University Press, Cambridge, ISBN 0-521-55309-1; 0-521-66351-2, With a foreword by Gian-Carlo Rota. Corrected reprint of the 1986 original
-
R.P. STANLEY, Enumerative Combinatorics, Volume 1, Cambridge Studies in Advanced Mathematics, vol. 49, Cambridge University Press, Cambridge, 1997, ISBN 0-521-55309-1; 0-521-66351-2, With a foreword by Gian-Carlo Rota. Corrected reprint of the 1986 original.
-
(1997)
Cambridge Studies in Advanced Mathematics
, vol.49
-
-
Stanley, R.P.1
-
23
-
-
0001069132
-
Mixed moments of voiculescu's gaussian random matrices
-
DOI 10.1006/jfan.2000.3622
-
S. THORBJØRNSEN, Mixed Moments of Voiculescu's Gaussian Random Matrices, J. Funct. Anal. 176 (2000), DOI 10.1006/jfan.2000.3622, 213-246, http://dx.doi.org/10.1006/jfan.2000.3622.
-
(2000)
J. Funct. Anal.
, vol.176
, pp. 213-246
-
-
Thorbjørnsen, S.1
-
24
-
-
0000215544
-
Limit laws for random matrices and free products
-
D.V. VOICULESCU, Limit laws for random matrices and free products, Invent. Math. 104 (1991), 201-220.
-
(1991)
Invent. Math.
, vol.104
, pp. 201-220
-
-
Voiculescu, D.V.1
-
25
-
-
0003341427
-
Free random variables
-
American Mathematical Society, Providence, RI, ISBN 0-8218-6999-X, A noncommutative probability approach to free products with applications to random matrices, operator algebras and harmonic analysis on free groups
-
D.V. VOICULESCU, K. DYKEMA, and A. NICA, Free random variables, CRM Monograph Series, vol. 1, American Mathematical Society, Providence, RI, 1992, ISBN 0-8218-6999-X, A noncommutative probability approach to free products with applications to random matrices, operator algebras and harmonic analysis on free groups.
-
(1992)
CRM Monograph Series
, vol.1
-
-
Voiculescu, D.V.1
Dykema, K.2
Nica, A.3
-
26
-
-
1842679304
-
A strengthened asymptotic freeness result for random matrices with applications to free entropy
-
DOI 10.1155/S107379289800004X
-
D.V. VOICULESCU, A strengthened asymptotic freeness result for random matrices with applications to free entropy, International Math. Res. Notices 1 (1998), DOI 10.1155/S107379289800004X, 41-63, http://dx.doi.org/10.1155/ S107379289800004X.
-
(1998)
International Math. Res. Notices
, vol.1
, pp. 41-63
-
-
Voiculescu, D.V.1
-
27
-
-
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, Ann. Probability 6 (1978), 1-18.
-
(1978)
Ann. Probability
, vol.6
, pp. 1-18
-
-
Wachter, K.W.1
-
28
-
-
0000840166
-
Characteristic vectors of bordered matrices with infinite dimensions
-
E. WIGNER, Characteristic vectors of bordered matrices with infinite dimensions, Ann. of Math. (2) 62 (1955), 548-564.
-
(1955)
Ann. of Math. (2)
, vol.62
, pp. 548-564
-
-
Wigner, E.1
-
29
-
-
0001560594
-
On the distribution of the roots of certain symmetric matrices
-
_, On the distribution of the roots of certain symmetric matrices, Ann. of Math. (2) 67 (1958), 325-327.
-
(1958)
Ann. of Math. (2)
, vol.67
, pp. 325-327
-
-
-
30
-
-
0031549909
-
A random matrix model from 2-dimensional Yang-Mills theory
-
DOI 10.1007/s002200050242
-
F. XU, A random matrix model from 2-dimensional Yang-Mills theory, Comm. Math. Phys. 190 (1997), DOI 10.1007/s002200050242, 287-307, http://dx.doi.org/ 10.1007/s002200050242.
-
(1997)
Comm. Math. Phys.
, vol.190
, pp. 287-307
-
-
Xu, F.1
|