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20052026
most citedSpectral Statistics of Erd{\H o}s-Rényi Graphs II: Eigenvalue Spacing and the Extreme Eigenvalues

238 citations · 1.5k across the 41 of their papers we have counts for

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math.PR2017★ 1 cited

Largest eigenvalues of sparse inhomogeneous Erdős-Rényi graphs

Florent Benaych-Georges, Charles Bordenave, Antti Knowles

We consider inhomogeneous Erdős-Rényi graphs. We suppose that the maximal mean degree satisfies . We characterize the asymptotic behavior of the la…

math.PR2017★ 15 cited

Spectral radii of sparse random matrices

Florent Benaych-Georges, Charles Bordenave, Antti Knowles

We establish bounds on the spectral radii for a large class of sparse random matrices, which includes the adjacency matrices of inhomogeneous Erdős-Rényi graphs. Our error bounds a…