Spectral Statistics of Erdős-Rényi Graphs II: Eigenvalue Spacing and the Extreme Eigenvalues

On random graphs. I.

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Network Science, Graph Theory, Engineering +7

Level-spacing distributions and the Airy kernel

Craig A. Tracy, Harold Widom · Communications in Mathematical Physics · 1994 · 1.8K citations · Full text

Higher Dimensional Problem, Reproducing Kernel Method, Airy Kernel

A Brownian-Motion Model for the Eigenvalues of a Random Matrix

Freeman J. Dyson · Journal of Mathematical Physics · 1962 · 1K citations

Spectral Theory, Engineering, Random Matrices +13

Uniform asymptotics for polynomials orthogonal with respect to varying exponential weights and applications to universality questions in random matrix theory

Percy Deift, T. Kriecherbauer, K. T-R McLaughlin et al. · Communications on Pure and Applied Mathematics · 1999 · 803 citations

Spectral Theory, Uniform Asymptotics, Engineering +14

On orthogonal and symplectic matrix ensembles

Communications in Mathematical Physics · 1996 · 731 citations · Full text

Random Matrix, Symplectic Matrix Ensembles, Matrix Theory +1