-
2
-
-
77953174549
-
Universality of local eigenvalue statistics for some sample covariance matrices
-
Ben Arous G., Péché S.: Universality of local eigenvalue statistics for some sample covariance matrices. Comm. Pure Appl. Math. 10, 1-42 (2005).
-
(2005)
Comm. Pure Appl. Math.
, vol.10
, pp. 1-42
-
-
Ben Arous, G.1
Péché, S.2
-
3
-
-
0033244830
-
Semiclassical asymptotics of orthogonal polynomials, Riemann-Hilbert problem, and universality in the matrix model
-
Bleher P., Its A.: Semiclassical asymptotics of orthogonal polynomials, Riemann-Hilbert problem, and universality in the matrix model. Ann. Math. 150, 185-266 (1999).
-
(1999)
Ann. Math.
, vol.150
, pp. 185-266
-
-
Bleher, P.1
Its, A.2
-
4
-
-
0002829137
-
Exponential integrability and transportation cost related to logarithmic Sobolev inequalities
-
Bobkov S. G., Götze F.: Exponential integrability and transportation cost related to logarithmic Sobolev inequalities. J. Funct. Anal. 163(1), 1-28 (1999).
-
(1999)
J. Funct. Anal.
, vol.163
, Issue.1
, pp. 1-28
-
-
Bobkov, S.G.1
Götze, F.2
-
5
-
-
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, 697-706 (1996).
-
(1996)
Nucl. Phys. B
, vol.479
, pp. 697-706
-
-
Brézin, E.1
Hikami, S.2
-
6
-
-
0001184776
-
Spectral form factor in a random matrix theory
-
Brézin E., Hikami S.: Spectral form factor in a random matrix theory. Phys. Rev. E 55, 4067-4083 (1997).
-
(1997)
Phys. Rev. E
, vol.55
, pp. 4067-4083
-
-
Brézin, E.1
Hikami, S.2
-
7
-
-
0003346458
-
Orthogonal polynomials and random matrices: A Riemann-Hilbert approach
-
American Mathematical Society, Providence
-
Deift, P.: Orthogonal polynomials and random matrices: A Riemann-Hilbert approach. In: Courant Lecture Notes in Mathematics, vol. 3, American Mathematical Society, Providence (1999).
-
(1999)
Courant Lecture Notes in Mathematics
, vol.3
-
-
Deift, P.1
-
8
-
-
79953750532
-
Random matrix theory: Invariant ensembles and universality
-
American Mathematical Society, Providence
-
Deift, P., Gioev, D.: Random matrix theory: Invariant ensembles and universality. In: Courant Lecture Notes in Mathematics, vol. 18, American Mathematical Society, Providence (2009).
-
(2009)
Courant Lecture Notes in Mathematics
, vol.18
-
-
Deift, P.1
Gioev, D.2
-
9
-
-
0033440723
-
Uniform asymptotics for polynomials orthogonal with respect to varying exponential weights and applications to universality questions in random matrix theory
-
Deift P., Kriecherbauer T., McLaughlin K. T.-R., Venakides S., Zhou X.: Uniform asymptotics for polynomials orthogonal with respect to varying exponential weights and applications to universality questions in random matrix theory. Comm. Pure Appl. Math. 52, 1335-1425 (1999).
-
(1999)
Comm. Pure Appl. Math.
, vol.52
, pp. 1335-1425
-
-
Deift, P.1
Kriecherbauer, T.2
McLaughlin, K.T.-R.3
Venakides, S.4
Zhou, X.5
-
10
-
-
0033459230
-
Strong asymptotics of orthogonal polynomials with respect to exponential weights
-
Deift P., Kriecherbauer T., McLaughlin K. T.-R., Venakides S., Zhou X.: Strong asymptotics of orthogonal polynomials with respect to exponential weights. Comm. Pure Appl. Math. 52, 1491-1552 (1999).
-
(1999)
Comm. Pure Appl. Math.
, vol.52
, pp. 1491-1552
-
-
Deift, P.1
Kriecherbauer, T.2
McLaughlin, K.T.-R.3
Venakides, S.4
Zhou, X.5
-
12
-
-
0039430657
-
Correlations between eigenvalues of a random matrix
-
Dyson F. J.: Correlations between eigenvalues of a random matrix. Commun. Math. Phys. 19, 235-250 (1970).
-
(1970)
Commun. Math. Phys.
, vol.19
, pp. 235-250
-
-
Dyson, F.J.1
-
13
-
-
77949568197
-
Semicircle law on short scales and delocalization of eigenvectors for Wigner random matrices
-
Erdos L., Schlein B., Yau H.-T.: Semicircle law on short scales and delocalization of eigenvectors for Wigner random matrices. Ann. Probab. 37(3), 815-852 (2008).
-
(2008)
Ann. Probab.
, vol.37
, Issue.3
, pp. 815-852
-
-
Erdos, L.1
Schlein, B.2
Yau, H.-T.3
-
14
-
-
61549110549
-
Local semicircle law and complete delocalization for Wigner random matrices
-
Erdo{double acute}s L., Schlein B., Yau H.-T.: Local semicircle law and complete delocalization for Wigner random matrices. Commun. Math. Phys. 287, 641-655 (2009).
-
(2009)
Commun. Math. Phys.
, vol.287
, pp. 641-655
-
-
Erdos, L.1
Schlein, B.2
Yau, H.-T.3
-
15
-
-
77953168459
-
Wegner estimate and level repulsion for Wigner random matrices
-
Erdo{double acute}s L., Schlein B., Yau H.-T.: Wegner estimate and level repulsion for Wigner random matrices. Int. Math. Res. Notices 2010(3), 436-479 (2010).
-
(2010)
Int. Math. Res. Notices
, vol.2010
, Issue.3
, pp. 436-479
-
-
Erdos, L.1
Schlein, B.2
Yau, H.-T.3
-
16
-
-
79959217986
-
Universality of random matrices and local relaxation flow
-
Erdo{double acute}s L., Schlein B., Yau H.-T.: Universality of random matrices and local relaxation flow. Invent. Math. 185(1), 75-119 (2011).
-
(2011)
Invent. Math.
, vol.185
, Issue.1
, pp. 75-119
-
-
Erdos, L.1
Schlein, B.2
Yau, H.-T.3
-
17
-
-
77953158852
-
Universality of sine-kernel for Wigner matrices with a small Gaussian perturbation
-
Erdo{double acute}s L., Ramirez J., Schlein B., Yau H.-T.: Universality of sine-kernel for Wigner matrices with a small Gaussian perturbation. Electr. J. Prob. 15(18), 526-604 (2010).
-
(2010)
Electr. J. Prob.
, vol.15
, Issue.18
, pp. 526-604
-
-
Erdos, L.1
Ramirez, J.2
Schlein, B.3
Yau, H.-T.4
-
18
-
-
77952504768
-
Bulk universality for Wigner matrices
-
Erdo{double acute}s L., Péché G., Ramírez J., Schlein B., Yau H.-T.: Bulk universality for Wigner matrices. Comm. Pure Appl. Math. 63(7), 895-925 (2010).
-
(2010)
Comm. Pure Appl. Math.
, vol.63
, Issue.7
, pp. 895-925
-
-
Erdos, L.1
Péché, G.2
Ramírez, J.3
Schlein, B.4
Yau, H.-T.5
-
19
-
-
77956898369
-
Bulk universality for Wigner hermitian matrices with subexponential decay
-
Erdo{double acute}s L., Ramírez J., Schlein B., Tao T., VuV. Yau H.-T.: Bulk universality for Wigner hermitian matrices with subexponential decay. Math. Res. Lett. 17(4), 667-674 (2010).
-
(2010)
Math. Res. Lett.
, vol.17
, Issue.4
, pp. 667-674
-
-
Erdos, L.1
Ramírez, J.2
Schlein, B.3
Tao, T.4
Vu, V.5
Yau, H.-T.6
-
20
-
-
84867330755
-
The local relaxation flow approach to universality of the local statistics for random matrices
-
(To appear, Preprint). arXiv: 0911. 3687
-
Erdo{double acute}s, L., Schlein, B., Yau, H.-T., Yin, J.: The local relaxation flow approach to universality of the local statistics for random matrices. Ann. Inst. H. Poincaré, Prob. Stat. (To appear, Preprint). arXiv: 0911. 3687.
-
Ann. Inst. H. Poincaré, Prob. Stat.
-
-
Erdos, L.1
Schlein, B.2
Yau, H.-T.3
Yin, J.4
-
21
-
-
84855612683
-
Universality for generalized Wigner matrices with Bernoulli distribution
-
Erdo{double acute}s L., Yau H.-T., Yin J.: Universality for generalized Wigner matrices with Bernoulli distribution. J. Combin. 1(2), 15-85 (2011).
-
(2011)
J. Combin.
, vol.1
, Issue.2
, pp. 15-85
-
-
Erdos, L.1
Yau, H.-T.2
Yin, J.3
-
22
-
-
0036206682
-
Large deviation upper bounds and central limit theorems for band matrices
-
Guionnet A.: Large deviation upper bounds and central limit theorems for band matrices. Ann. Inst. H. Poincaré Probab. Statist 38, 341-384 (2002).
-
(2002)
Ann. Inst. H. Poincaré Probab. Statist
, vol.38
, pp. 341-384
-
-
Guionnet, A.1
-
23
-
-
0038126290
-
A bound on tail probabilities for quadratic forms in independent random variables
-
Hanson D. L., Wright F. T.: A bound on tail probabilities for quadratic forms in independent random variables. Ann. Math. Stat. 42(3), 1079-1083 (1971).
-
(1971)
Ann. Math. Stat.
, vol.42
, Issue.3
, pp. 1079-1083
-
-
Hanson, D.L.1
Wright, F.T.2
-
24
-
-
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(3), 683-705 (2001).
-
(2001)
Comm. Math. Phys.
, vol.215
, Issue.3
, pp. 683-705
-
-
Johansson, K.1
-
27
-
-
0001358033
-
On the density of eigenvalues of a random matrix
-
Mehta M. L., Gaudin M.: On the density of eigenvalues of a random matrix. Nuclear Phys. 18, 420-427 (1960).
-
(1960)
Nuclear Phys.
, vol.18
, pp. 420-427
-
-
Mehta, M.L.1
Gaudin, M.2
-
28
-
-
36649018694
-
Bulk universality and related properties of Hermitian matrix models
-
Pastur L., Shcherbina M.: Bulk universality and related properties of Hermitian matrix models. J. Stat. Phys. 130(2), 205-250 (2008).
-
(2008)
J. Stat. Phys.
, vol.130
, Issue.2
, pp. 205-250
-
-
Pastur, L.1
Shcherbina, M.2
-
30
-
-
84871422709
-
Random banded and sparse matrices, Chap. 23
-
In: Akemann, G., Baik, J., Di Francesco, P. (eds.), (To appear)
-
Spencer, T.: Random banded and sparse matrices, Chap. 23. In: Akemann, G., Baik, J., Di Francesco, P. (eds.) Oxford Handbook of Random Matrix Theory (To appear).
-
Oxford Handbook of Random Matrix Theory
-
-
Spencer, T.1
-
32
-
-
79953112440
-
Random matrices: universality of the local eigenvalue statistics Acta
-
Tao, T., Vu, V.: Random matrices: universality of the local eigenvalue statistics Acta. Math. 206(1), 127-204 (2011).
-
(2011)
Math.
, vol.206
, Issue.1
, pp. 127-204
-
-
Tao, T.1
Vu, V.2
-
34
-
-
44649148619
-
Spectral norm of random matrices
-
Vu V.: Spectral norm of random matrices. Combinatorica 27(6), 721-736 (2007).
-
(2007)
Combinatorica
, vol.27
, Issue.6
, pp. 721-736
-
-
Vu, V.1
|