-
2
-
-
0031562338
-
Universality of random matrices in the microscopic limit and the Dirac operator spectrum
-
Akemann, G., Damgaard, P.H., Magnea, U., Nishigaki, S.: Universality of random matrices in the microscopic limit and the Dirac operator spectrum. Nucl. Phys. B 487(3), 721-738 (1997)
-
(1997)
Nucl. Phys. B
, vol.487
, Issue.3
, pp. 721-738
-
-
Akemann, G.1
Damgaard, P.H.2
Magnea, U.3
Nishigaki, S.4
-
3
-
-
0032565496
-
Multicritical microscopic spectral correlators of Hermitian and complex matrices
-
Akemann, G., Damgaard, P.H., Magnea, U., Nishigaki, S.: Multicritical microscopic spectral correlators of Hermitian and complex matrices. Nucl. Phys. B 519(3), 682-714 (1998)
-
(1998)
Nucl. Phys. B
, vol.519
, Issue.3
, pp. 682-714
-
-
Akemann, G.1
Damgaard, P.H.2
Magnea, U.3
Nishigaki, S.4
-
4
-
-
0037053926
-
New critical matrix models and generalized universality
-
Akemann, G., Vernizzi, G.: New critical matrix models and generalized universality. Nucl. Phys. B 631(3), 471-499 (2002)
-
(2002)
Nucl. Phys. B
, vol.631
, Issue.3
, pp. 471-499
-
-
Akemann, G.1
Vernizzi, G.2
-
5
-
-
0038578323
-
Uniform asymptotics for polynomials orthogonal with respect to a general class of discrete weights and universality results for associated ensembles: Announcement of results
-
Baik, J., Kriecherbauer, T., McLaughlin, K.T-R., Miller, P.: Uniform asymptotics for polynomials orthogonal with respect to a general class of discrete weights and universality results for associated ensembles: announcement of results. Int. Math. Res. Notices 2003(15), 821-858 (2003)
-
(2003)
Int. Math. Res. Notices
, vol.2003
, Issue.15
, pp. 821-858
-
-
Baik, J.1
Kriecherbauer, T.2
McLaughlin, K.T.-R.3
Miller, P.4
-
6
-
-
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(1), 185-266 (1999)
-
(1999)
Ann. Math.
, vol.150
, Issue.1
, pp. 185-266
-
-
Bleher, P.1
Its, A.2
-
7
-
-
2442557222
-
Double scaling limit in the random matrix model: The Riemann-Hilbert approach
-
Bleher, P., Its, A.: Double scaling limit in the random matrix model: the Riemann-Hilbert approach. Comm. Pure Appl. Math. 56, 433-516 (2003)
-
(2003)
Comm. Pure Appl. Math.
, vol.56
, pp. 433-516
-
-
Bleher, P.1
Its, A.2
-
8
-
-
0002704693
-
Universal scaling of the tail of the density of eigenvalues in random matrix models
-
Bowick, M.J., Brézin, E.: Universal scaling of the tail of the density of eigenvalues in random matrix models. Phys. Lett. B 268, 21-28 (1991)
-
(1991)
Phys. Lett. B
, vol.268
, pp. 21-28
-
-
Bowick, M.J.1
Brézin, E.2
-
9
-
-
1542383124
-
Universality of the correlations between eigenvalues of large random matrices
-
Brézin, E., Zee, A.: Universality of the correlations between eigenvalues of large random matrices. Nucl. Phys. B 402(3), 613-627 (1993)
-
(1993)
Nucl. Phys. B
, vol.402
, Issue.3
, pp. 613-627
-
-
Brézin, E.1
Zee, A.2
-
11
-
-
0031493906
-
A Riemann-Hilbert approach to asymptotic problems arising in the theory of random matrix models, and also in the theory of integrable statistical mechanics
-
Deift, P., Its, A.R., Zhou, X.: A Riemann-Hilbert approach to asymptotic problems arising in the theory of random matrix models, and also in the theory of integrable statistical mechanics. Ann. Math. 146, 149-235 (1997)
-
(1997)
Ann. Math.
, vol.146
, pp. 149-235
-
-
Deift, P.1
Its, A.R.2
Zhou, X.3
-
12
-
-
0000743268
-
New results on the equilibrium measure for logarithmic potentials in the presence of an external field
-
Deift, P., Kriecherbauer, T., McLaughlin, K.T-R.: New results on the equilibrium measure for logarithmic potentials in the presence of an external field. J. Approx. Theory 95, 388-475 (1998)
-
(1998)
J. Approx. Theory
, vol.95
, pp. 388-475
-
-
Deift, P.1
Kriecherbauer, T.2
McLaughlin, K.T.-R.3
-
13
-
-
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
-
14
-
-
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
-
15
-
-
0001525213
-
A steepest descent method for oscillatory Riemann-Hilbert problems. Asymptotics for the MKdV equation
-
Deift, P., Zhou, X.: A steepest descent method for oscillatory Riemann-Hilbert problems. Asymptotics for the MKdV equation. Ann. Math. 137, 295-368 (1993)
-
(1993)
Ann. Math.
, vol.137
, pp. 295-368
-
-
Deift, P.1
Zhou, X.2
-
16
-
-
0004152420
-
-
Graduate Texts in Mathematics. New York-Berlin, Springer-Verlag
-
Farkas, H.M., Kra, I.: Riemann Surfaces. Graduate Texts in Mathematics. New York-Berlin, Springer-Verlag, 1992
-
(1992)
Riemann Surfaces
-
-
Farkas, H.M.1
Kra, I.2
-
17
-
-
0001283085
-
The isomonodromy approach to matrix models in 2D quantum gravity
-
Fokas, A.S., Its, A.R., Kitaev, A.V.: The isomonodromy approach to matrix models in 2D quantum gravity. Commun. Math. Phys. 147, 395-430 (1992)
-
(1992)
Commun. Math. Phys.
, vol.147
, pp. 395-430
-
-
Fokas, A.S.1
Its, A.R.2
Kitaev, A.V.3
-
18
-
-
0000609652
-
The spectrum edge of random matrix ensembles
-
Forrester, P.J.: The spectrum edge of random matrix ensembles. Nucl. Phys. B 402(3), 709-728 (1993)
-
(1993)
Nucl. Phys. B
, vol.402
, Issue.3
, pp. 709-728
-
-
Forrester, P.J.1
-
19
-
-
0041582120
-
Developments in random matrix theory
-
Forrester, P.J., Snaith, N.C., Verbaarschot, J.J.M.: Developments in random matrix theory. J. Phys. A.: Math. Gen. 36, R1-R10 (2003)
-
(2003)
J. Phys. A.: Math. Gen.
, vol.36
-
-
Forrester, P.J.1
Snaith, N.C.2
Verbaarschot, J.J.M.3
-
21
-
-
0037194222
-
New multicritical random matrix ensembles
-
Janik, R.A.: New multicritical random matrix ensembles. Nucl. Phys. B 635(3), 492-504 (2002)
-
(2002)
Nucl. Phys. B
, vol.635
, Issue.3
, pp. 492-504
-
-
Janik, R.A.1
-
22
-
-
0032070566
-
Random matrix models with log-singular level confinement: Method of fictitious fermions
-
Kanzieper, E., Freilikher, V: Random matrix models with log-singular level confinement: method of fictitious fermions. Philos. Magazine B 77(5), 1161-1172 (1998)
-
(1998)
Philos. Magazine B
, vol.77
, Issue.5
, pp. 1161-1172
-
-
Kanzieper, E.1
Freilikher, V.2
-
23
-
-
0345982308
-
Strong asymptotics of polynomials orthogonal with respect to Freud weights
-
Kriecherbauer, T., McLaughlin, K.T-R.: Strong asymptotics of polynomials orthogonal with respect to Freud weights. Int. Math. Res. Notices 1999(6), 299-333 (1999)
-
(1999)
Int. Math. Res. Notices
, vol.1999
, Issue.6
, pp. 299-333
-
-
Kriecherbauer, T.1
McLaughlin, K.T.-R.2
-
24
-
-
0344509265
-
Riemann-Hilbert analysis for orthogonal polynomials
-
Koelink, E., Van Assche, W. (eds). Lect. Notes Math., Springer-Verlag
-
Kuijlaars, A.B.J.: Riemann-Hilbert analysis for orthogonal polynomials, In: Koelink, E., Van Assche, W. (eds), Orthogonal Polynomials and Special Functions: Leuven 2002. Lect. Notes Math. 1817, Springer-Verlag, 2003, pp. 167-210
-
(2003)
Orthogonal Polynomials and Special Functions: Leuven 2002
, vol.1817
, pp. 167-210
-
-
Kuijlaars, A.B.J.1
-
25
-
-
0034398875
-
Generic behavior of the density of states in random matrix theory and equilibrium problems in the presence of real analytic external fields
-
Kuijlaars, A.B.J., McLaughlin, K.T-R.: 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)
-
(2000)
Comm. Pure Appl. Math.
, vol.53
, pp. 736-785
-
-
Kuijlaars, A.B.J.1
McLaughlin, K.T.-R.2
-
26
-
-
0344509264
-
Riemann-Hilbert analysis for Laguerre polynomials with large negative parameter
-
Kuijlaars, A.B.J., McLaughlin, K.T-R.: Riemann-Hilbert analysis for Laguerre polynomials with large negative parameter. Comput. Meth. Funct. Theory 1(1), 205-233 (2001)
-
(2001)
Comput. Meth. Funct. Theory
, vol.1
, Issue.1
, pp. 205-233
-
-
Kuijlaars, A.B.J.1
McLaughlin, K.T.-R.2
-
27
-
-
0003626550
-
-
To appear in Adv. Math., Preprint math.CA/0111252
-
Kuijlaars, A.B.J., McLaughlin, K.T-R., Van Assche, W., Vanlessen, M.: The Riemann-Hilbert approach to strong asymptotics for orthogonal polynomials. To appear in Adv. Math., Preprint math.CA/0111252
-
The Riemann-Hilbert Approach to Strong Asymptotics for Orthogonal Polynomials
-
-
Kuijlaars, A.B.J.1
McLaughlin, K.T.-R.2
Van Assche, W.3
Vanlessen, M.4
-
28
-
-
0036360694
-
Universality for eigenvalue correlations from the modified Jacobi unitary ensemble
-
Kuijlaars, A.B.J., Vanlessen, M.: Universality for eigenvalue correlations from the modified Jacobi unitary ensemble. Int. Math. Res. Notices 2002(30), 1575-1600 (2002)
-
(2002)
Int. Math. Res. Notices
, vol.2002
, Issue.30
, pp. 1575-1600
-
-
Kuijlaars, A.B.J.1
Vanlessen, M.2
-
30
-
-
0000573156
-
Matrix models of 2D gravity and isomonodromic deformation
-
Moore, G.: Matrix models of 2D gravity and isomonodromic deformation. Progr. Theor. Phys. Suppl. No. 102, 255-285 (1990)
-
(1990)
Progr. Theor. Phys. Suppl. No. 102
, vol.102
, pp. 255-285
-
-
Moore, G.1
-
31
-
-
21344490533
-
Eigenvalue distribution of random matrices at the spectrum edge
-
Nagao, T., Wadati, M.: Eigenvalue distribution of random matrices at the spectrum edge. J. Phys. Soc. Japan 62, 3845-3856 (1993)
-
(1993)
J. Phys. Soc. Japan
, vol.62
, pp. 3845-3856
-
-
Nagao, T.1
Wadati, M.2
-
32
-
-
0344940122
-
Microscopic universality in random matrix models of QCD
-
Damgaard, P.H., Jurkiewicz, J. (eds.). Proceedings Zakopane 1997. New York: Plenum Press
-
Nishigaki, S.: Microscopic universality in random matrix models of QCD. In: Damgaard, P.H., Jurkiewicz, J. (eds.) New developments in quantum field theory. Proceedings Zakopane 1997. New York: Plenum Press, 1998, pp. 287-295
-
(1998)
New Developments in Quantum Field Theory
, pp. 287-295
-
-
Nishigaki, S.1
-
33
-
-
0030684834
-
Universality of the local eigenvalue statistics for a class of unitary invariant random matrix ensembles
-
Pastur, L., Shcherbina, M.: Universality of the local eigenvalue statistics for a class of unitary invariant random matrix ensembles. J. Stat. Phys. 86, 109-147 (1997)
-
(1997)
J. Stat. Phys.
, vol.86
, pp. 109-147
-
-
Pastur, L.1
Shcherbina, M.2
-
35
-
-
85047103760
-
Universal results for correlations of characteristic polynomials: Riemann-Hilbert approach
-
Preprint math-ph/0210010
-
Strahov, E., Fyodorov, Y.V.: Universal results for correlations of characteristic polynomials: Riemann-Hilbert approach. To appear in Commun. Math. Phys., Preprint math-ph/0210010
-
Commun. Math. Phys.
-
-
Strahov, E.1
Fyodorov, Y.V.2
-
37
-
-
27644532196
-
Level-spacing distributions and the Airy kernel
-
Tracy, C.A., Widom, H.: Level-spacing distributions and the Airy kernel. Commun. Math. Phys. 159, 151-174(1994)
-
(1994)
Commun. Math. Phys.
, vol.159
, pp. 151-174
-
-
Tracy, C.A.1
Widom, H.2
-
38
-
-
0342395256
-
Level-spacing distributions and the Bessel kernel
-
Tracy, C.A., Widom, H.: Level-spacing distributions and the Bessel kernel. Commun. Math. Phys. 161, 289-309 (1994)
-
(1994)
Commun. Math. Phys.
, vol.161
, pp. 289-309
-
-
Tracy, C.A.1
Widom, H.2
-
40
-
-
4243839615
-
Random matrix theory and three-dimensional QCD
-
Verbaarschot, J J.M., Zahed, I.: Random matrix theory and three-dimensional QCD. Phys. Rev. Lett. 73(17), 2288-2291 (1994)
-
(1994)
Phys. Rev. Lett.
, vol.73
, Issue.17
, pp. 2288-2291
-
-
Verbaarschot, J.J.M.1
Zahed, I.2
|