162 citations · 848 across the 46 of their papers we have counts for
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math.PR2013★ 21 cited
Mean quantum percolation
Charles Bordenave, Arnab Sen, Balint Virag
We study the spectrum of adjacency matrices of random graphs. We develop two techniques to lower bound the mass of the continuous part of the spectral measure or the density of sta…
math.PR2013★ 58 cited
Large deviations of empirical neighborhood distribution in sparse random graphs
Charles Bordenave, Pietro Caputo
Consider the Erdős-Renyi random graph on n vertices where each edge is present independently with probability c/n, with c>0 fixed. For large n, a typical random graph locally behav…