Bulk universality for generalized Wigner matrices

Mehta, M.L., Gaudin, M.: On the density of eigenvalues of a random matrix. Nuclear Phys

1960

Earlier work this paper cites.

Dyson, F.J.: Correlations between eigenvalues of a random matrix. Commun. Math. Phys

1970

Earlier work this paper cites.

Hanson, D.L., Wright, F.T.: A bound on tail probabilities for quadratic forms in independent random variables. The Annals of Math. Stat

1971

Earlier work this paper cites.

Tao, T. and Vu, V.: Random matrices: Universality of local eigenvalue statistics up to the edge. Preprint. arXiv:0908.1982

Original

1982

Earlier work this paper cites.

Shiryayev, A. N.: Probability. Graduate Text in Mathematics. 54

1984

Earlier work this paper cites.

Mehta, M.L.: Random Matrices. Academic Press, New York, 1991

1991

Earlier work this paper cites.

Stroock, D.W.: Probability theory, an analytic view. Cambridge University Press, 1993

1993

Earlier work this paper cites.

Brézin, E., Hikami, S.: Correlations of nearby levels induced by a random potential. Nucl. Phys. B

1997

Earlier work this paper cites.

Bleher, P., Its, A.: Semiclassical asymptotics of orthogonal polynomials, Riemann-Hilbert problem, and universality in the matrix model. Ann. of Math

1999

Earlier work this paper cites.

Bobkov, S. G., Götze, F.: Exponential integrability and transportation cost related to logarithmic Sobolev inequalities. J. Funct. Anal

1999

Cited alongside, same era.

Deift, P.: Orthogonal polynomials and random matrices: a Riemann-Hilbert approach. Courant Lecture Notes in Mathematics

1999

Cited alongside, same era.

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

1999

Cited alongside, same era.

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

1999

Cited alongside, same era.

Johansson, K.: Universality of the local spacing distribution in certain ensembles of Hermitian Wigner matrices. Comm. Math. Phys

Vu, V.: Spectral norm of random matrices. Combinatorica

Original

2007

Later among the works it cites.

Erdős, L., Schlein, B., Yau, H.-T.: Semicircle law on short scales and delocalization of eigenvectors for Wigner random matrices. Ann. Probab

2008

Later among the works it cites.

Pastur, L., Shcherbina M.: Bulk universality and related properties of Hermitian matrix models. J. Stat. Phys

2008

Later among the works it cites.

Deift, P., Gioev, D.: Random Matrix Theory: Invariant Ensembles and Universality. Courant Lecture Notes in Mathematics

2009

Later among the works it cites.

Erdős, L., Schlein, B., Yau, H.-T.: Local semicircle law and complete delocalization for Wigner random matrices. Commun. Math. Phys

2009

Later among the works it cites.