-
1
-
-
0032206942
-
Multiple orthogonal polynomials
-
A. I. Aptekarev, Multiple orthogonal polynomials, J. Comput. Appl. Math. 99 (1998), no. 1-2, 423-447.
-
(1998)
J. Comput. Appl. Math.
, vol.99
, Issue.1-2
, pp. 423-447
-
-
Aptekarev, A.I.1
-
2
-
-
0242382112
-
Multiple orthogonal polynomials for classical weights
-
A. I. Aptekarev, A. Branquinho, and W. Van Assche, Multiple orthogonal polynomials for classical weights, Trans. Amer. Math. Soc. 355 (2003), no. 10, 3887-3914.
-
(2003)
Trans. Amer. Math. Soc.
, vol.355
, Issue.10
, pp. 3887-3914
-
-
Aptekarev, A.I.1
Branquinho, A.2
Van Assche, W.3
-
3
-
-
0033244830
-
Semiclassical asymptotics of orthogonal polynomials, Riemann-Hilbert problem, and universality in the matrix model
-
P. Bleher and A. Its, Semiclassical asymptotics of orthogonal polynomials, Riemann-Hilbert problem, and universality in the matrix model, Ann. of Math. (2) 150 (1999), no. 1, 185-266.
-
(1999)
Ann. of Math. (2)
, vol.150
, Issue.1
, pp. 185-266
-
-
Bleher, P.1
Its, A.2
-
4
-
-
2442557222
-
Double scaling limit in the random matrix model: The Riemann-Hilbert approach
-
_, Double scaling limit in the random matrix model: the Riemann-Hilbert approach, Comm. Pure Appl. Math. 56 (2003), no. 4, 433-516.
-
(2003)
Comm. Pure Appl. Math.
, vol.56
, Issue.4
, pp. 433-516
-
-
-
5
-
-
0030592669
-
Correlations of nearby levels induced by a random potential
-
E. Brézin and S. Hikami, Correlations of nearby levels induced by a random potential, Nuclear Phys. B 479 (1996), no. 3, 697-706.
-
(1996)
Nuclear Phys. B
, vol.479
, Issue.3
, pp. 697-706
-
-
Brézin, E.1
Hikami, S.2
-
6
-
-
4243508492
-
Extension of level-spacing universality
-
_, Extension of level-spacing universality, Phys. Rev. E 56 (1997), no. 1, 264-269.
-
(1997)
Phys. Rev. E
, vol.56
, Issue.1
, pp. 264-269
-
-
-
7
-
-
0001184776
-
Spectral form factor in a random matrix theory
-
_, Spectral form factor in a random matrix theory, Phys. Rev. E (3) 55 (1997), no. 4, 40674083.
-
(1997)
Phys. Rev. E (3)
, vol.55
, Issue.4
, pp. 4067-4083
-
-
-
8
-
-
0010481023
-
Level spacing of random matrices in an external source
-
_, Level spacing of random matrices in an external source, Phys. Rev. E (3) 58 (1998), no. 6, 7176-7185.
-
(1998)
Phys. Rev. E (3)
, vol.58
, Issue.6
, pp. 7176-7185
-
-
-
9
-
-
0032050389
-
Universal singularity at the closure of a gap in a random matrix theory
-
_, 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
-
-
-
10
-
-
35949006725
-
Universal correlations for deterministic plus random Hamiltonians
-
E. Brézin, S. Hikami, and A. Zee, Universal correlations for deterministic plus random Hamiltonians, Phys. Rev. E 51 (1995), no. 6, 5442-5452.
-
(1995)
Phys. Rev. E
, vol.51
, Issue.6
, pp. 5442-5452
-
-
Brézin, E.1
Hikami, S.2
Zee, A.3
-
11
-
-
0003346458
-
Orthogonal Polynomials and Random Matrices: A Riemann-Hilbert Approach
-
American Mathematical Society, Rhode Island
-
P. Deift, Orthogonal Polynomials and Random Matrices: A Riemann-Hilbert Approach, Courant Lecture Notes in Mathematics, vol. 3, American Mathematical Society, Rhode Island, 1999.
-
(1999)
Courant Lecture Notes in Mathematics
, vol.3
-
-
Deift, P.1
-
12
-
-
0033459230
-
Strong asymptotics of orthogonal polynomials with respect to exponential weights
-
P. Deift, T. Kriecherbauer, K. T-R McLaughlin, S. Venakides, and X. Zhou, Strong asymptotics of orthogonal polynomials with respect to exponential weights, Comm. Pure Appl. Math. 52 (1999), no. 12, 1491-1552.
-
(1999)
Comm. Pure Appl. Math.
, vol.52
, Issue.12
, pp. 1491-1552
-
-
Deift, P.1
Kriecherbauer, T.2
McLaughlin, K.T.-R.3
Venakides, S.4
Zhou, X.5
-
13
-
-
0033440723
-
Uniform asymptotics for polynomials orthogonal with respect to varying exponential weights and applications to universality questions in random matrix theory
-
_, 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 (1999), no. 11, 1335-1425.
-
(1999)
Comm. Pure Appl. Math.
, vol.52
, Issue.11
, pp. 1335-1425
-
-
-
14
-
-
0001283085
-
The isomonodromy approach to matrix models in 2D quantum gravity
-
A. S. Fokas, A. Its, and A. V. Kitaev, The isomonodromy approach to matrix models in 2D quantum gravity, Comm. Math. Phys. 147 (1992), no. 2, 395-430.
-
(1992)
Comm. Math. Phys.
, vol.147
, Issue.2
, pp. 395-430
-
-
Fokas, A.S.1
Its, A.2
Kitaev, A.V.3
-
15
-
-
0002538277
-
Differential operators on a semisimple Lie algebra
-
Harish-Chandra, Differential operators on a semisimple Lie algebra, Amer. J. Math. 79 (1957), 87-120.
-
(1957)
Amer. J. Math.
, vol.79
, pp. 87-120
-
-
Harish-Chandra1
-
16
-
-
36749111480
-
The planar approximation. II
-
C. Itzykson and J. B. Zuber, The planar approximation. II, J. Math. Phys. 21 (1980), no. 3, 411-421.
-
(1980)
J. Math. Phys.
, vol.21
, Issue.3
, pp. 411-421
-
-
Itzykson, C.1
Zuber, J.B.2
-
18
-
-
0002728031
-
The spectrum of random matrices
-
Russian
-
L. A. Pastur, The spectrum of random matrices, Teoret. Mat. Fiz. 10 (1972), no. 1, 102-112 (Russian).
-
(1972)
Teoret. Mat. Fiz.
, vol.10
, Issue.1
, pp. 102-112
-
-
Pastur, L.A.1
-
19
-
-
1342264348
-
Riemann-Hilbert problems for multiple orthogonal polynomials
-
NATO ASI Special Functions 2000. Current Perspective and Future Directions (J. Bustoz, M. E. H. Ismail, and S. K. Suslov, eds.), Kluwer Academic Publishers, Dordrecht
-
W. Van Assche, J. S. Geronimo, and A. B. J. Kuijlaars, Riemann-Hilbert problems for multiple orthogonal polynomials, NATO ASI Special Functions 2000. Current Perspective and Future Directions (J. Bustoz, M. E. H. Ismail, and S. K. Suslov, eds.), NATO Science Series II, vol. 30, Kluwer Academic Publishers, Dordrecht, 2001, pp. 23-59.
-
(2001)
NATO Science Series II
, vol.30
, pp. 23-59
-
-
Van Assche, W.1
Geronimo, J.S.2
Kuijlaars, A.B.J.3
-
20
-
-
0031589479
-
Random Hermitian matrices in an external field
-
P. Zinn-Justin, Random Hermitian matrices in an external field, Nuclear Phys. B 497 (1997), no. 3, 725-732.
-
(1997)
Nuclear Phys. B
, vol.497
, Issue.3
, pp. 725-732
-
-
Zinn-Justin, P.1
-
21
-
-
0032474388
-
Universality of correlation functions of Hermitian random matrices in an external field
-
_, Universality of correlation functions of Hermitian random matrices in an external field, Comm. Math. Phys. 194 (1998), no. 3, 631-650.
-
(1998)
Comm. Math. Phys.
, vol.194
, Issue.3
, pp. 631-650
-
-
|