Largest eigenvalues of sparse inhomogeneous Erd\H{o}s-R\'enyi graphs

The eigenvalues of random symmetric matrices

Z. Füredi and J. Komlós · 1981

Earlier work this paper cites.

Poisson approximation

A. D. Barbour, L. Holst, and S. Janson · 1992

Earlier work this paper cites.

Matrix analysis

R. Bhatia · 1997

Earlier work this paper cites.

Random graphs

B. Bollobás · 2001

Earlier work this paper cites.

The largest eigenvalue of sparse random graphs

M. Krivelevich and B. Sudakov · 2003

Earlier work this paper cites.

Poisson statistics for the largest eigenvalues of Wigner random matrices with heavy tails

A. Soshnikov · 2004

Cited alongside, same era.

Spectral techniques applied to sparse random graphs

U. Feige and E. Ofek · 2005

Cited alongside, same era.

Spectral norm of random matrices

V. H. Vu · 2007

Cited alongside, same era.

Poisson convergence for the largest eigenvalues of heavy tailed random matrices

A. Auffinger, G. Ben Arous, and S. Péché · 2009

Cited alongside, same era.

L. Erdős, A. Knowles, H.-T. Yau, and J. Yin, Spectral Statistics of Erdős-Rényi Graphs II: Eigenvalue Spacing and the Extreme Eigenvalues, Comm. Math. Phys. , 314:587–640, 2012

2012

Cited alongside, same era.

A necessary and sufficient condition for edge universality of Wigner matrices

Original

J. O. Lee and J. Yin

Cited in the paper.

J. O. Lee and K. Schnelli, Local law and Tracy-Widom limit for sparse random matrices, Preprint arXiv:1605.08767

Original

Cited in the paper.

L. Erdős, A. Knowles, H.-T. Yau, and J. Yin, Spectral Statistics of Erdős-Rényi Graphs I: Local Semicircle Law, Ann. Prob. , 41:2279–2375, 2013

2013

Later among the works it cites.

Localization and delocalization for heavy tailed band matrices

F. Benaych-Georges and S. Péché · 2014

Later among the works it cites.

Concentration and regularization of random graphs

Original

C. M. L. Le, E. Levina, and R. Vershynin · 2015

Later among the works it cites.

Spectral radii of sparse random matrices

F. Benaych-Georges, C. Bordenave, and A. Knowles · 2016

Later among the works it cites.