-
1
-
-
34547947639
-
Non-backtracking random walks mix faster
-
N. ALON, I. BENJAMINI, E. LUBETZKY, and S. SODIN, Non-backtracking random walks mix faster, Commun. Contemp. Math. 9 (2007), 585-603.
-
(2007)
Commun. Contemp. Math.
, vol.9
, pp. 585-603
-
-
Alon, N.1
Benjamini, I.2
Lubetzky, E.3
Sodin, S.4
-
2
-
-
0001758959
-
Limit of the smallest eigenvalue of a large-dimensional sample covariance matrix
-
Z. D. BAI and Y. Q. YIN, Limit of the smallest eigenvalue of a large-dimensional sample covariance matrix, Ann. Probab. 21 (1993), 1275-1294.
-
(1993)
Ann. Probab.
, vol.21
, pp. 1275-1294
-
-
Bai, Z.D.1
Yin, Y.Q.2
-
3
-
-
76949107386
-
Edge scaling limits for a family of non-Hermitian random matrix ensembles
-
M. BENDER, Edge scaling limits for a family of non-Hermitian random matrix ensembles, Probab. Theory Related Fields 147 (2010), 241-271.
-
(2010)
Probab. Theory Related Fields
, vol.147
, pp. 241-271
-
-
Bender, M.1
-
4
-
-
0013250559
-
On the density of states of random band matrices
-
L. V. BOGACHEV, S. A. MOLCHANOV, and L. A. PASTUR, On the density of states of random band matrices, Mat. Zametki 50 (1991), 31-42, 157.
-
(1991)
Mat. Zametki
, vol.50
, pp. 31-42
-
-
Bogachev, L.V.1
Molchanov, S.A.2
Pastur, L.A.3
-
5
-
-
0036979190
-
Density of states for random band matrices
-
M. DISERTORI, H. PINSON, and T. SPENCER, Density of states for random band matrices, Comm. Math. Phys. 232 (2002), 83-124.
-
(2002)
Comm. Math. Phys.
, vol.232
, pp. 83-124
-
-
Disertori, M.1
Pinson, H.2
Spencer, T.3
-
9
-
-
84877877878
-
A universality result for the smallest eigenvalues of certain sample covariance matrices
-
to appear
-
O. N. FELDHEIM and S. SODIN, A universality result for the smallest eigenvalues of certain sample covariance matrices, Geom. Funct. Anal., to appear.
-
(2000)
Geom. Funct. Anal.
-
-
Feldheim, O.N.1
Sodin, S.2
-
10
-
-
68749084936
-
The largest eigenvalues of sample covariance matrices for a spiked population: diagonal case
-
073302
-
D. FÉRAL and S. PÉCHÉ, The largest eigenvalues of sample covariance matrices for a spiked population: diagonal case, J. Math. Phys. 50 (2009), 073302, 33.
-
(2009)
J. Math. Phys.
, vol.50
, pp. 33
-
-
Féral, D.1
Péché, S.2
-
11
-
-
0001476452
-
Statistical properties of eigenfunctions of random quasi 1D one-particle Hamiltonians
-
Y. V. FYODOROV and A. D. MIRLIN, Statistical properties of eigenfunctions of random quasi 1D one-particle Hamiltonians, Internat. J. Math. Phys. B 8 (1994), 3795-3842.
-
(1994)
Internat. J. Math. Phys. B
, vol.8
, pp. 3795-3842
-
-
Fyodorov, Y.V.1
Mirlin, A.D.2
-
12
-
-
0000005110
-
Sur la distribution limite du terme maximum d'une série aléatoire
-
B. GNEDENKO, Sur la distribution limite du terme maximum d'une série aléatoire, Ann. of Math. 44 (1943), 423-453.
-
(1943)
Ann. of Math.
, vol.44
, pp. 423-453
-
-
Gnedenko, B.1
-
15
-
-
51849115568
-
Estimates for moments of random matrices with Gaussian elements
-
Springer-Verlag, New York
-
O. KHORUNZHIY, Estimates for moments of random matrices with Gaussian elements, in Séminaire de Probabilités XLI, Lecture Notes in Math. 1934, Springer-Verlag, New York, 2008, pp. 51-92.
-
(2008)
Séminaire de Probabilités XLI, Lecture Notes in Math
, vol.1934
, pp. 51-92
-
-
Khorunzhiy, O.1
-
16
-
-
0036882732
-
On asymptotic expansions and scales of spectral universality in band random matrix ensembles
-
A. KHORUNZHY and W. KIRSCH, On asymptotic expansions and scales of spectral universality in band random matrix ensembles, Comm. Math. Phys. 231 (2002), 223-255.
-
(2002)
Comm. Math. Phys.
, vol.231
, pp. 223-255
-
-
Khorunzhy, A.1
Kirsch, W.2
-
17
-
-
77952882264
-
On a uniqueness theorem
-
B. M. LEVITAN, On a uniqueness theorem, Doklady Akad. Nauk SSSR 76 (1951), 485-488.
-
(1951)
Doklady Akad. Nauk SSSR
, vol.76
, pp. 485-488
-
-
Levitan, B.M.1
-
19
-
-
27144520984
-
Theorems of Tauberian type in spectral analysis of differential operators
-
V. A. MARČENKO, Theorems of Tauberian type in spectral analysis of differential operators, Izv. Akad. Nauk SSSR. Ser. Mat. 19 (1955), 381-422.
-
(1955)
Izv. Akad. Nauk SSSR. Ser. Mat.
, vol.19
, pp. 381-422
-
-
Marčenko, V.A.1
-
20
-
-
52349104340
-
Distribution of the eigenvalues of random band matrices in the limit of their infinite order
-
S. A. MOLCHANOV, L. A. PASTUR, and A. M. KHORUNZHIǏ, Distribution of the eigenvalues of random band matrices in the limit of their infinite order, Teoret. Mat. Fiz. 90 (1992), 163-178.
-
(1992)
Teoret. Mat. Fiz.
, vol.90
, pp. 163-178
-
-
Molchanov, S.A.1
Pastur, L.A.2
Khorunzhiǐ, A.M.3
-
21
-
-
59449098080
-
Universality results for the largest eigenvalues of some sample covariance matrix ensembles
-
S. PÉCHÉ, Universality results for the largest eigenvalues of some sample covariance matrix ensembles, Probab. Theory Related Fields 143 (2009), 481-516.
-
(2009)
Probab. Theory Related Fields
, vol.143
, pp. 481-516
-
-
Péché, S.1
-
22
-
-
70349923103
-
Eigenvector localization for random band matrices with power law band width
-
J. SCHENKER, Eigenvector localization for random band matrices with power law band width, Comm. Math. Phys. 290 (2009), 1065-1097.
-
(2009)
Comm. Math. Phys.
, vol.290
, pp. 1065-1097
-
-
Schenker, J.1
-
23
-
-
0013263920
-
Summing graphs for random band matrices
-
P. G. SILVESTROV, Summing graphs for random band matrices, Phys. Rev. E 55 (1997), 6419-6432.
-
(1997)
Phys. Rev. E
, vol.55
, pp. 6419-6432
-
-
Silvestrov, P.G.1
-
24
-
-
34250768646
-
Quantum chaos on discrete graphs
-
U. SMILANSKY, Quantum chaos on discrete graphs, J. Phys. A 40 (2007), F621-F630.
-
(2007)
J. Phys. A
, vol.40
-
-
Smilansky, U.1
-
25
-
-
37649004279
-
Random matrices, nonbacktracking walks, and orthogonal polynomials
-
S. SODIN, Random matrices, nonbacktracking walks, and orthogonal polynomials, J. Math. Phys. 48 (2007), 123503, 21.
-
(2007)
J. Math. Phys.
, vol.48
, pp. 21
-
-
Sodin, S.1
-
26
-
-
0033473406
-
Universality at the edge of the spectrum in Wigner random matrices
-
A. SOSHNIKOV, Universality at the edge of the spectrum in Wigner random matrices, Comm. Math. Phys. 207 (1999), 697-733.
-
(1999)
Comm. Math. Phys.
, vol.207
, pp. 697-733
-
-
Soshnikov, A.1
-
27
-
-
0141450345
-
A note on universality of the distribution of the largest eigenvalues in certain sample covariance matrices
-
A. SOSHNIKOV, 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
-
29
-
-
33646977864
-
Maximum metallic resistance in thin wires
-
D. J. THOULESS, Maximum metallic resistance in thin wires, Phys. Rev. Lett. 39 (1977), 1167-1169.
-
(1977)
Phys. Rev. Lett.
, vol.39
, pp. 1167-1169
-
-
Thouless, D.J.1
-
30
-
-
27644532196
-
Level-spacing distributions and the Airy kernel
-
C. A. TRACY and H. WIDOM, Level-spacing distributions and the Airy kernel, Comm. Math. Phys. 159 (1994), 151-174.
-
(1994)
Comm. Math. Phys.
, vol.159
, pp. 151-174
-
-
Tracy, C.A.1
Widom, H.2
-
31
-
-
0030545965
-
On orthogonal and symplectic matrix ensembles
-
C. A. TRACY and H. WIDOM, On orthogonal and symplectic matrix ensembles, Comm. Math. Phys. 177 (1996), 727-754.
-
(1996)
Comm. Math. Phys.
, vol.177
, pp. 727-754
-
-
Tracy, C.A.1
Widom, H.2
-
32
-
-
77957925619
-
Uniqueness theorems for a certain class of functions represented by integrals
-
E. B. VUL, Uniqueness theorems for a certain class of functions represented by integrals, Dokl. Akad. Nauk SSSR 129 (1959), 722-725.
-
(1959)
Dokl. Akad. Nauk SSSR
, vol.129
, pp. 722-725
-
-
Vul, E.B.1
-
34
-
-
0001560594
-
On the distribution of the roots of certain symmetric matrices
-
E. P. WIGNER, On the distribution of the roots of certain symmetric matrices, Ann. of Math. 67 (1958), 325-327.
-
(1958)
Ann. of Math.
, vol.67
, pp. 325-327
-
-
Wigner, E.P.1
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