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Universality of eigenvalue spacings is one of the basic characteristics of random matrices.
M.J. Bowick and E. Brézin, Universal scaling of the tail of the density of eigenvalues in random matrix models, Phys. Lett. B 268 (1991), 21–28
1991
Earlier work this paper cites.
A.S. Fokas, A.R. Its, and A.V. Kitaev, The isomonodromy approach to matrix models in 2D quantum gravity, Commun. Math. Phys. 147 (1992), 395–430
1992
Earlier work this paper cites.
E. Brézin and A. Zee, Universality of the correlations between eigenvalues of large random matrices, Nuclear Physics B 402 (1993), 613–627
1993
Earlier work this paper cites.
P. Deift and X. Zhou, A steepest descent method for oscillatory Riemann-Hilbert problems. Asymptotics for the MKdV equation, Ann. of Math. 137 (1993), 295–368
1993
Earlier work this paper cites.
P. J. Forrester, The spectrum edge of random matrix ensembles, Nucl. Phys. B 402 (1993), 709–728
1993
Earlier work this paper cites.
T. Nagao and M. Wadati, Eigenvalue distribution of random matrices at the spectrum edge, J. Phys. Soc. Japan 62 (1993), 3845–3856
1993
Earlier work this paper cites.
C. Tracy and H. Widom, Level-spacing distributions and the Airy kernel, Comm. Math. Phys. 159 (1994), 151–174
1994
Earlier work this paper cites.
P. Di Francesco, P. Ginsparg, and J. Zinn-Justin, 2 2 D gravity and random matrices, Phys. Rep. 254 (1995), 133 pp
1995
Earlier work this paper cites.
G. Hackenbroich and H. A. Weidenmüller, Universality of random-matrix results for non-Gaussian ensembles, Phys. Rev. Lett. 74 (1995), 4118–4121
1995
Earlier work this paper cites.
G. Akemann, Universal correlators for multi-arc complex matrix models, Nucl.Phys. B 507 (1997) 475–500
1997
Earlier work this paper cites.
G. Akemann, P.H. Damgaard, U. Magnea, and S. Nishigaki, Universality of random matrices in the microscopic limit and the Dirac operator spectrum, Nucl. Phys. B 487 (1997), 721–738
1997
Earlier work this paper cites.
G. Ben Arous and A. Guionnet, Large deviations for Wigner’s law and Voiculescu’s non-commutative entropy, Probab. Theory Related Fields 108 (1997), 517–542
1997
Earlier work this paper cites.
E. Kanzieper and V. Freilikher, Universality in invariant random-matrix models: existence near the soft edge, Phys. Rev. E 55 (1997), 3712–3715
1997
Earlier work this paper cites.
L. Pastur and M. Shcherbina, Universality of the local eigenvalue statistics for a class of unitary invariant random matrix ensembles, J. Statist. Phys. 86 (1997), 109–147
1997
Earlier work this paper cites.
E.B. Saff and V. Totik, Logarithmic Potentials with External Fields
1997
Earlier work this paper cites.
G. Akemann, P. H. Damgaard, U. Magnea, S. M. Nishigaki, Multicritical microscopic spectral correlators of hermitian and complex matrices, Nucl.Phys. B 519 (1998), 682–714
1998
Earlier work this paper cites.
E. Brézin and S. Hikami, Universal singularity at the closure of a gap in a random matrix theory, Phys. Rev. E 57 (1998), 4140–4149
1998
Earlier work this paper cites.
P. Deift, T. Kriecherbauer, and K.T-R McLaughlin, New results on the equilibrium measure for logarithmic potentials in the presence of an external field, J. Approx. Theory 95 (1998), 388–475
1998
Earlier work this paper cites.
K. Johansson, On fluctuations of eigenvalues of random Hermitian matrices. Duke Math. J. 91 (1998), 151–204
1998
Earlier work this paper cites.
E. Kanzieper and V. Freilikher, Random matrix models with log-singular level confinement: method of fictitious fermions, Philos. Magazine B 77 (1998), 1161–1172
1998
Earlier work this paper cites.
C. Tracy and H. Widom, Correlation functions, cluster functions, and spacing distributions for random matrices, J. Stat. Phys. 92 (1998), 809–835
1998
Earlier work this paper cites.
P. Bleher and A. Its, Semiclassical asymptotics of orthogonal polynomials, Riemann-Hilbert problem, and universality in the matrix model, Ann. of Math. 150 (1999), 185–266
1999
Earlier work this paper cites.
P. Deift, Orthogonal Polynomials and Random Matrices: a Riemann-Hilbert Approach
1999
Earlier work this paper cites.
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), 1491–1552
1999
Cited alongside, same era.
P. Deift, T. Kriecherbauer, K.T-R McLaughlin, S. Venakides, and X. Zhou, 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), 1335–1425
1999
Cited alongside, same era.
B. Klein and J. Verbaarschot, Spectral universality of real chiral random matrix ensembles, Nucl. Phys. B 588 (2000), 483–507
2000
Cited alongside, same era.
A.B.J. Kuijlaars and K.T-R McLaughlin, 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 (2000), 736–785
2000
Cited alongside, same era.
E. Levin and D.S. Lubinsky, Universality limits in the bulk for varying measures, Adv. Math. 219 (2008), 743–779
2008
Later among the works it cites.
D.S. Lubinsky, Universality limits in the bulk for arbitrary measures with compact support, J. d’Analyse Math. 106 (2008), 373–394
2008
Later among the works it cites.
D.S. Lubinsky, Universality limits at the hard edge of the spectrum for measures with compact support, Int. Math. Res. Notices 2008, Art. ID rnn 099, 39 pp
2008
Later among the works it cites.
K. T-R. McLaughlin and P.D. Miller, The ∂ ¯ \overline{\partial} steepest descent method for orthogonal polynomials on the real line with varying weights, Int. Math. Res. Notices 2008, Art. ID rnn 075, 66 pp
2008
Later among the works it cites.
M.Y. Mo, The Riemann-Hilbert approach to double scaling limit of random matrix eigenvalues near the “birth of a cut” transition, Int. Math. Res. Notices 2008, Art. ID rnn042, 51 pp
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A. Soshnikov, Determinantal random point fields, Russian Math. Surveys 55 (2000), 923–975
2000
Cited alongside, same era.
A. Stojanovic, Universality in orthogonal and symplectic invariant matrix models with quartic potential, Math. Phys. Anal. Geom. 3 (2000), 339–373
2000
Cited alongside, same era.
A.B.J. Kuijlaars and M. Vanlessen, Universality for eigenvalue correlations from the modified Jacobi unitary ensemble, Int. Math. Res. Notices 2002 (2002), 1575–1600
2002
Cited alongside, same era.
P. Bleher and A. Its, Double scaling limit in the random matrix model: the Riemann-Hilbert approach, Comm. Pure Appl. Math. 56 (2003), 433–516
2003
Cited alongside, same era.
A.B.J. Kuijlaars and M. Vanlessen, Universality for eigenvalue correlations at the origin of the spectrum, Comm. Math. Phys. 243 (2003), 163–191
2003
Cited alongside, same era.
M.L. Mehta, Random Matrices
2004
Cited alongside, same era.
A.I. Aptekarev, P.M. Bleher, and A.B.J. Kuijlaars, Large n n limit of Gaussian random matrices with external source II, Comm. Math. Phys. 259 (2005), 367–389
2005
Cited alongside, same era.
T. Claeys and A.B.J. Kuijlaars, Universality of the double scaling limit in random matrix models, Comm. Pure Appl. Math. 59 (2006), 1573–1603
2006
Cited alongside, same era.
2008
Later among the works it cites.
L. Pastur, M. Shcherbina, Bulk universality and related properties of Hermitian matrix models, J. Stat. Phys. 130 (2008), 205–250
2008
Later among the works it cites.
M. Shcherbina, Double scaling limit for matrix models with non analytic potentials, J. Math. Phys. 49 (2008) 033501, 34 pp
2008
Later among the works it cites.
M. Bertola and S.Y. Lee, First colonization of a spectral outpost in random matrix theory, Constr. Approx. 30 (2009), 225–263
2009
Later among the works it cites.
P. Deift and D. Gioev, Random Matrix Theory: Invariant Ensembles and Universality
2009
Later among the works it cites.
A.B.J. Kuijlaars and P. Tibboel, The asymptotic behaviour of recurrence coefficients for orthogonal polynomials with varying exponential weights, J. Comput. Appl. Math. 233 (2009), 775–785
2009
Later among the works it cites.
E. Levin and D.S. Lubinsky, Universality limits for exponential weights, Constr. Approx. 29 (2009), 247–275
2009
Later among the works it cites.
D.S. Lubinsky, A new approach to universality limits involving orthogonal polynomials, Ann. of Math. 170 (2009), 915-939
2009
Later among the works it cites.
D.S. Lubinsky, Universality limits for random matrices and de Branges spaces of entire functions, J. Funct. Anal. 256 (2009), 3688–3729
2009
Later among the works it cites.
M. Shcherbina, On universality for orthogonal ensembles of random matrices, Comm. Math. Phys. 285 (2009), 957–974
2009
Later among the works it cites.
M. Shcherbina, Edge universality for orthogonal ensembles of random matrices, J. Stat. Phys. 136 (2009), 35–50
2009
Later among the works it cites.
G.W. Anderson, A. Guionnet, and O. Zeitouni, An Introduction to Random Matrices
2010
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T. Claeys, A.R. Its, and I. Krasovsky, Higher order analogues of the Tracy-Widom distribution and the Painlevé II hierarchy, Comm. Pure Appl. Math. 63 (2010), 362–412
2010
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L. Erdős, S. Péché, J. Ramírez, B. Schlein and H-T. Yau, Bulk universality for Wigner matrices, Comm. Pure Appl. Math. 63 (2010), 895–925
2010
Later among the works it cites.
L. Erdős, J. Ramírez, B. Schlein, T. Tao, V. Vu, and H-T. Yau, Bulk universality for Wigner hermitian matrices with subexponential decay, Math. Res. Lett. 17 (2010), 667–674
2010
Later among the works it cites.
P.J. Forrester, Log-Gases and Random Matrices
2010
Later among the works it cites.
P. Bleher, S. Delvaux, and A.B.J. Kuijlaars, Random matrix model with external source and a constrained vector equilibrium problem, Comm. Pure Appl. Math. 64 (2011), no. 1, 116-160
2011
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A. Foulquié Moreno, A. Martínez-Finkelshtein, and V.L. Sousa, Asymptotics of orthogonal polynomials for a weight with a jump on [ − 1 , 1 ] [-1,1] , Constr. Approx. 33 (2011), 219–263
2011
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T. Tao and V. Vu, Random matrices: Universality of local eigenvalue statistics, Acta Math. 206 (2011), 127–204
2011
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