Eigenvector Distribution of Wigner Matrices

Dyson, F.J.: A Brownian-motion model for the eigenvalues of a random matrix. J. Math. Phys

1962

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.

C. Tracy, H. Widom, Level-spacing distributions and the Airy kernel. Comm. Math. Phys

Original

1994

Earlier work this paper cites.

Sinai, Y. and Soshnikov, A.: A refinement of Wigner’s semicircle law in a neighborhood of the spectrum edge. Functional Anal. and Appl

1998

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.

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

1999

Earlier work this paper cites.

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

Earlier work this paper cites.

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.

Soshnikov, A.: Universality at the edge of the spectrum in Wigner random matrices. Comm. Math. Phys

1999

Cited alongside, same era.

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

2001

Cited alongside, same era.

Gustavsson, J.: Gaussian Fluctuations of Eigenvalues in the GUE, Ann. Inst. H. Poincaré Probab. Statist

2005

Cited alongside, same era.

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

2008

Cited alongside, same era.

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.: Semicircle law on short scales and delocalization of eigenvectors for Wigner random matrices. Ann. Probab

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.

O’Rourke, S.: Gaussian fluctuations of eigenvalues in Wigner random matrices, J. Stat. Phys

2009

Later among the works it cites.

Erdős, L., Schlein, B., Yau, H.-T.: Wegner estimate and level repulsion for Wigner random matrices. Int. Math. Res. Notices

2010

Later among the works it cites.